From e9ee23738c78828a2ffba95d3a0322829ff4c7f7 Mon Sep 17 00:00:00 2001
From: Jeremy Bleyer <jeremy.bleyer@enpc.fr>
Date: Thu, 4 Oct 2018 13:58:47 +0200
Subject: [PATCH] Added contact penalty example and licenses

---
 .../vonMises_plasticity.py.doctree            | Bin 66011 -> 66916 bytes
 .../demo/elasticity/2D_elasticity.py.doctree  | Bin 29771 -> 30753 bytes
 .../axisymmetric_elasticity.doctree           | Bin 526913 -> 527861 bytes
 .../orthotropic_elasticity.py.doctree         | Bin 23695 -> 24639 bytes
 .../cantilever_modal.py.doctree               | Bin 34201 -> 35153 bytes
 .../periodic_homog_elas.doctree               | Bin 279449 -> 280148 bytes
 .../reissner_mindlin_dg.py.doctree            | Bin 21056 -> 22020 bytes
 .../reissner_mindlin_quads.py.doctree         | Bin 20451 -> 21395 bytes
 .../thermoelasticity/thermoelasticity.doctree | Bin 443809 -> 444517 bytes
 .../thermoelasticity_transient.doctree        | Bin 537511 -> 538378 bytes
 doc/_build/doctrees/environment.pickle        | Bin 76496 -> 77212 bytes
 doc/_build/doctrees/intro.doctree             | Bin 13785 -> 15898 bytes
 doc/_build/doctrees/tips_and_tricks.doctree   | Bin 5502 -> 5504 bytes
 doc/_build/html/_downloads/2D_elasticity.py   |   5 +-
 .../html/_downloads/cantilever_modal.py       |   5 +-
 .../html/_downloads/orthotropic_elasticity.py |  19 +-
 .../html/_downloads/reissner_mindlin_dg.py    |   5 +-
 .../html/_downloads/reissner_mindlin_quads.py |   5 +-
 .../vonMises_plasticity.py.rst.txt            |   4 +
 .../demo/elasticity/2D_elasticity.py.rst.txt  |   5 +-
 .../orthotropic_elasticity.py.rst.txt         |  27 ++-
 .../cantilever_modal.py.rst.txt               |   3 +
 .../reissner_mindlin_dg.py.rst.txt            |   3 +
 .../reissner_mindlin_quads.py.rst.txt         |   3 +
 doc/_build/html/_sources/intro.rst.txt        |  41 ++--
 .../2D_plasticity/vonMises_plasticity.py.html |   5 +-
 .../demo/elasticity/2D_elasticity.py.html     |   3 +-
 .../elasticity/axisymmetric_elasticity.html   |   3 +-
 .../elasticity/orthotropic_elasticity.py.html |   3 +-
 .../cantilever_modal.py.html                  |   3 +-
 .../periodic_homog_elas.html                  |   3 +-
 .../reissner_mindlin_dg.py.html               |   3 +-
 .../reissner_mindlin_quads.py.html            |   3 +-
 .../thermoelasticity/thermoelasticity.html    |   3 +-
 .../thermoelasticity_transient.html           |   3 +-
 doc/_build/html/genindex.html                 |   1 +
 doc/_build/html/homogenization.html           |   1 +
 doc/_build/html/index.html                    |   2 +
 doc/_build/html/intro.html                    |  11 +-
 doc/_build/html/linear_problems.html          |   1 +
 doc/_build/html/nonlinear_problems.html       |   1 +
 doc/_build/html/objects.inv                   | Bin 3217 -> 3254 bytes
 doc/_build/html/search.html                   |   1 +
 doc/_build/html/searchindex.js                |   2 +-
 doc/_build/html/tips_and_tricks.html          |   7 +-
 doc/conf.py                                   |   4 +
 doc/intro.rst                                 |  41 ++--
 .../2D_plasticity/vonMises_plasticity.py.rst  |   4 +
 .../penalty-checkpoint.ipynb                  | 215 ++++++++++++++----
 examples/contact/augmented_lagrangian.ipynb   |  52 ++---
 examples/contact/contact_FE.png               | Bin 0 -> 40430 bytes
 examples/contact/penalty.ipynb                | 202 ++++++++++++----
 examples/elasticity/2D_elasticity.py.rst      |   5 +-
 .../elasticity/orthotropic_elasticity.py.rst  |  27 ++-
 .../elastodynamics/demo_elastodynamics.py.rst |  60 ++---
 .../cantilever_modal.py.rst                   |   3 +
 .../reissner_mindlin_dg.py.rst                |   3 +
 .../reissner_mindlin_quads.py.rst             |   3 +
 58 files changed, 561 insertions(+), 242 deletions(-)
 create mode 100644 examples/contact/contact_FE.png

diff --git a/doc/_build/doctrees/demo/2D_plasticity/vonMises_plasticity.py.doctree b/doc/_build/doctrees/demo/2D_plasticity/vonMises_plasticity.py.doctree
index aa22796c3872bc53513c6469d1f49d2fe53178e6..6fc6322a927392efd7bcb5b51491b820d4eadd9e 100644
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diff --git a/doc/_build/doctrees/demo/elasticity/2D_elasticity.py.doctree b/doc/_build/doctrees/demo/elasticity/2D_elasticity.py.doctree
index 35716ba0812295ce651fa5263e967f9e8b047036..586cbff93e6c518292cafc4cece425c8b25330b2 100644
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diff --git a/doc/_build/doctrees/demo/elasticity/axisymmetric_elasticity.doctree b/doc/_build/doctrees/demo/elasticity/axisymmetric_elasticity.doctree
index 1df5949d3696e56ea88bccf007367f454414f78e..6934617460f5f60b25d1c1cef413caf536d03c01 100644
GIT binary patch
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diff --git a/doc/_build/doctrees/demo/elasticity/orthotropic_elasticity.py.doctree b/doc/_build/doctrees/demo/elasticity/orthotropic_elasticity.py.doctree
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diff --git a/doc/_build/doctrees/demo/modal_analysis_dynamics/cantilever_modal.py.doctree b/doc/_build/doctrees/demo/modal_analysis_dynamics/cantilever_modal.py.doctree
index 760eb189abd4ac80dc1ff864ab66ec6debdcdc6a..d434390077a9da43b8499823fd1ab0605e3f7d54 100644
GIT binary patch
delta 3049
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diff --git a/doc/_build/doctrees/demo/periodic_homog_elas/periodic_homog_elas.doctree b/doc/_build/doctrees/demo/periodic_homog_elas/periodic_homog_elas.doctree
index d18263a4cac785c0f57fa3a57a21d7a0f8fd9d5c..d06b6945e246196aa1b2db8df7a226079de6e751 100644
GIT binary patch
delta 25006
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diff --git a/doc/_build/doctrees/demo/reissner_mindlin/reissner_mindlin_dg.py.doctree b/doc/_build/doctrees/demo/reissner_mindlin/reissner_mindlin_dg.py.doctree
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diff --git a/doc/_build/doctrees/demo/thermoelasticity/thermoelasticity.doctree b/doc/_build/doctrees/demo/thermoelasticity/thermoelasticity.doctree
index e094e5bbc502dbb5f2406074bbef0563e3d4d513..33a8b79a18673fb61f2b7db99361fb66992c909d 100644
GIT binary patch
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diff --git a/doc/_build/doctrees/demo/thermoelasticity/thermoelasticity_transient.doctree b/doc/_build/doctrees/demo/thermoelasticity/thermoelasticity_transient.doctree
index 2b72bdf77b84ab7e2d0cf7a4e5a541ef4a28b565..dfa8c9952a956f5eb856bc278bae936689fffdae 100644
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diff --git a/doc/_build/doctrees/tips_and_tricks.doctree b/doc/_build/doctrees/tips_and_tricks.doctree
index 1b0f482c643ea80afb63b260991f4c6e3854231b..ba1032ca5b31deb9cb5a9d3d2896debee3496401 100644
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diff --git a/doc/_build/html/_downloads/2D_elasticity.py b/doc/_build/html/_downloads/2D_elasticity.py
index bb5d197..0a2f0af 100644
--- a/doc/_build/html/_downloads/2D_elasticity.py
+++ b/doc/_build/html/_downloads/2D_elasticity.py
@@ -1,8 +1,11 @@
 #
 # ..    # gedit: set fileencoding=utf8 :
+# .. raw:: html
+#
+#  <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
 #
-# .. _LinearElasticity2D:
 #
+# .. _LinearElasticity2D:
 #
 # =========================
 #  2D linear elasticity
diff --git a/doc/_build/html/_downloads/cantilever_modal.py b/doc/_build/html/_downloads/cantilever_modal.py
index ae6f541..bbc3d4b 100644
--- a/doc/_build/html/_downloads/cantilever_modal.py
+++ b/doc/_build/html/_downloads/cantilever_modal.py
@@ -1,4 +1,7 @@
-#
+raw:: html
+
+<a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
+
 # .. _ModalAnalysis:
 #
 # ==========================================
diff --git a/doc/_build/html/_downloads/orthotropic_elasticity.py b/doc/_build/html/_downloads/orthotropic_elasticity.py
index aa7920f..a23f4c2 100644
--- a/doc/_build/html/_downloads/orthotropic_elasticity.py
+++ b/doc/_build/html/_downloads/orthotropic_elasticity.py
@@ -1,5 +1,8 @@
 #
 # ..    # gedit: set fileencoding=utf8 :
+# .. raw:: html
+#
+#  <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
 #
 # .. _OrthotropicElasticity:
 #
@@ -11,10 +14,10 @@
 # Introduction
 # ------------
 #
-# In this numerical tour, we will show how to tackle the case of orthotropic elasticity (in a 2D setting). The corresponding file can be obtained from 
+# In this numerical tour, we will show how to tackle the case of orthotropic elasticity (in a 2D setting). The corresponding file can be obtained from
 # :download:`orthotropic_elasticity.py`.
 #
-# We consider here the case of a square plate perforated by a circular hole of 
+# We consider here the case of a square plate perforated by a circular hole of
 # radius :math:`R`, the plate dimension is :math:`2L\times 2L` with :math:`L \gg R`
 # Only the top-right quarter of the plate will be considered. Loading will consist
 # of a uniform traction on the top/bottom boundaries, symmetry conditions will also
@@ -27,7 +30,7 @@ from mshr import *
 
 L, R = 1., 0.1
 N = 50 # mesh density
- 
+
 domain = Rectangle(Point(0.,0.), Point(L, L)) - Circle(Point(0., 0.), R)
 mesh = generate_mesh(domain, N)
 
@@ -35,7 +38,7 @@ mesh = generate_mesh(domain, N)
 # Constitutive relation
 # ---------------------
 #
-# Constitutive relations will be defined using an engineering (or Voigt) notation (i.e. 
+# Constitutive relations will be defined using an engineering (or Voigt) notation (i.e.
 # second order tensors will be written as a vector of their components) contrary
 # to the :ref:`LinearElasticity2D` example which used an intrinsic notation. In
 # the material frame, which is assumed to coincide here with the global :math:`(Oxy)`
@@ -46,13 +49,13 @@ mesh = generate_mesh(domain, N)
 # .. math::
 #   \begin{Bmatrix} \varepsilon_{xx} \\ \varepsilon_{yy} \\ 2\varepsilon_{xy}
 #   \end{Bmatrix} = \begin{bmatrix} 1/E_x & -\nu_{xy}/E_x & 0\\
-#   -\nu_{yx}/E_y & 1/E_y & 0 \\ 0 & 0 & 1/G_{xy} \end{bmatrix}\begin{Bmatrix} 
+#   -\nu_{yx}/E_y & 1/E_y & 0 \\ 0 & 0 & 1/G_{xy} \end{bmatrix}\begin{Bmatrix}
 #   \sigma_{xx} \\ \sigma_{yy} \\ \sigma_{xy}
 #   \end{Bmatrix}
 #
 # with :math:`E_x, E_y` the two Young's moduli in the orthotropy directions, :math:`\nu_{xy}`
 # the in-plane Poisson ration (with the following relation ensuring the constitutive
-# relation symmetry :math:`\nu_{yx}=\nu_{xy}E_y/E_x`) and :math:`G_{xy}` being the 
+# relation symmetry :math:`\nu_{yx}=\nu_{xy}E_y/E_x`) and :math:`G_{xy}` being the
 # shear modulus. This relation needs to be inverted to obtain the stress components as a function
 # of the strain components :math:`\boldsymbol{\sigma}=\mathbf{C}\boldsymbol{\varepsilon}` with
 # :math:`\mathbf{C}=\mathbf{S}^{-1}`::
@@ -89,7 +92,7 @@ def sigma(v):
 # Problem position and resolution
 # --------------------------------
 #
-# Different parts of the quarter plate boundaries are now defined as well as the 
+# Different parts of the quarter plate boundaries are now defined as well as the
 # exterior integration measure ``ds``::
 
 class Top(SubDomain):
@@ -127,7 +130,7 @@ a = inner(sigma(du), eps(u_))*dx
 T = Constant((0, 1e-3))
 l = dot(T, u_)*ds(1)
 
-# Symmetric boundary conditions are applied on the ``Top`` and ``Left`` boundaries 
+# Symmetric boundary conditions are applied on the ``Top`` and ``Left`` boundaries
 # and the problem is solved::
 
 # symmetry boundary conditions
diff --git a/doc/_build/html/_downloads/reissner_mindlin_dg.py b/doc/_build/html/_downloads/reissner_mindlin_dg.py
index 7d8822b..c0f3af5 100644
--- a/doc/_build/html/_downloads/reissner_mindlin_dg.py
+++ b/doc/_build/html/_downloads/reissner_mindlin_dg.py
@@ -1,4 +1,7 @@
-#
+raw:: html
+
+<a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
+
 # .. _ReissnerMindlinDG:
 #
 # ==============================================================
diff --git a/doc/_build/html/_downloads/reissner_mindlin_quads.py b/doc/_build/html/_downloads/reissner_mindlin_quads.py
index b6eb975..8da6c11 100644
--- a/doc/_build/html/_downloads/reissner_mindlin_quads.py
+++ b/doc/_build/html/_downloads/reissner_mindlin_quads.py
@@ -1,4 +1,7 @@
-#
+raw:: html
+
+<a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
+
 # .. _ReissnerMindlinQuads:
 #
 # ==========================================
diff --git a/doc/_build/html/_sources/demo/2D_plasticity/vonMises_plasticity.py.rst.txt b/doc/_build/html/_sources/demo/2D_plasticity/vonMises_plasticity.py.rst.txt
index 95444e1..215cf08 100644
--- a/doc/_build/html/_sources/demo/2D_plasticity/vonMises_plasticity.py.rst.txt
+++ b/doc/_build/html/_sources/demo/2D_plasticity/vonMises_plasticity.py.rst.txt
@@ -1,6 +1,10 @@
 
 .. _vonMisesPlasticity:
 
+.. raw:: html
+
+ <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
+
 ==================================================
 Elasto-plastic analysis of a 2D von Mises material
 ==================================================
diff --git a/doc/_build/html/_sources/demo/elasticity/2D_elasticity.py.rst.txt b/doc/_build/html/_sources/demo/elasticity/2D_elasticity.py.rst.txt
index 6d2d53f..ec8b17b 100644
--- a/doc/_build/html/_sources/demo/elasticity/2D_elasticity.py.rst.txt
+++ b/doc/_build/html/_sources/demo/elasticity/2D_elasticity.py.rst.txt
@@ -1,8 +1,11 @@
 
 ..    # gedit: set fileencoding=utf8 :
+.. raw:: html
+
+ <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
 
-.. _LinearElasticity2D:
 
+.. _LinearElasticity2D:
 
 =========================
  2D linear elasticity
diff --git a/doc/_build/html/_sources/demo/elasticity/orthotropic_elasticity.py.rst.txt b/doc/_build/html/_sources/demo/elasticity/orthotropic_elasticity.py.rst.txt
index 757385d..84408aa 100644
--- a/doc/_build/html/_sources/demo/elasticity/orthotropic_elasticity.py.rst.txt
+++ b/doc/_build/html/_sources/demo/elasticity/orthotropic_elasticity.py.rst.txt
@@ -1,5 +1,8 @@
 
 ..    # gedit: set fileencoding=utf8 :
+.. raw:: html
+
+ <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
 
 .. _OrthotropicElasticity:
 
@@ -11,10 +14,10 @@
 Introduction
 ------------
 
-In this numerical tour, we will show how to tackle the case of orthotropic elasticity (in a 2D setting). The corresponding file can be obtained from 
+In this numerical tour, we will show how to tackle the case of orthotropic elasticity (in a 2D setting). The corresponding file can be obtained from
 :download:`orthotropic_elasticity.py`.
 
-We consider here the case of a square plate perforated by a circular hole of 
+We consider here the case of a square plate perforated by a circular hole of
 radius :math:`R`, the plate dimension is :math:`2L\times 2L` with :math:`L \gg R`
 Only the top-right quarter of the plate will be considered. Loading will consist
 of a uniform traction on the top/bottom boundaries, symmetry conditions will also
@@ -27,7 +30,7 @@ between a rectangle and a circle::
 
  L, R = 1., 0.1
  N = 50 # mesh density
-  
+
  domain = Rectangle(Point(0.,0.), Point(L, L)) - Circle(Point(0., 0.), R)
  mesh = generate_mesh(domain, N)
 
@@ -35,7 +38,7 @@ between a rectangle and a circle::
 Constitutive relation
 ---------------------
 
-Constitutive relations will be defined using an engineering (or Voigt) notation (i.e. 
+Constitutive relations will be defined using an engineering (or Voigt) notation (i.e.
 second order tensors will be written as a vector of their components) contrary
 to the :ref:`LinearElasticity2D` example which used an intrinsic notation. In
 the material frame, which is assumed to coincide here with the global :math:`(Oxy)`
@@ -46,13 +49,13 @@ frame, the orthotropic constitutive law writes :math:`\boldsymbol{\varepsilon}=\
 .. math::
   \begin{Bmatrix} \varepsilon_{xx} \\ \varepsilon_{yy} \\ 2\varepsilon_{xy}
   \end{Bmatrix} = \begin{bmatrix} 1/E_x & -\nu_{xy}/E_x & 0\\
-  -\nu_{yx}/E_y & 1/E_y & 0 \\ 0 & 0 & 1/G_{xy} \end{bmatrix}\begin{Bmatrix} 
+  -\nu_{yx}/E_y & 1/E_y & 0 \\ 0 & 0 & 1/G_{xy} \end{bmatrix}\begin{Bmatrix}
   \sigma_{xx} \\ \sigma_{yy} \\ \sigma_{xy}
   \end{Bmatrix}
 
 with :math:`E_x, E_y` the two Young's moduli in the orthotropy directions, :math:`\nu_{xy}`
 the in-plane Poisson ration (with the following relation ensuring the constitutive
-relation symmetry :math:`\nu_{yx}=\nu_{xy}E_y/E_x`) and :math:`G_{xy}` being the 
+relation symmetry :math:`\nu_{yx}=\nu_{xy}E_y/E_x`) and :math:`G_{xy}` being the
 shear modulus. This relation needs to be inverted to obtain the stress components as a function
 of the strain components :math:`\boldsymbol{\sigma}=\mathbf{C}\boldsymbol{\varepsilon}` with
 :math:`\mathbf{C}=\mathbf{S}^{-1}`::
@@ -89,7 +92,7 @@ second-order tensor or using the Voigt engineering notation::
 Problem position and resolution
 --------------------------------
 
-Different parts of the quarter plate boundaries are now defined as well as the 
+Different parts of the quarter plate boundaries are now defined as well as the
 exterior integration measure ``ds``::
 
  class Top(SubDomain):
@@ -101,7 +104,7 @@ exterior integration measure ``ds``::
  class Bottom(SubDomain):
      def inside(self, x, on_boundary):
          return near(x[1],0) and on_boundary
- 
+
  # exterior facets MeshFunction
  facets = MeshFunction("size_t", mesh, 1)
  facets.set_all(0)
@@ -122,12 +125,12 @@ on the top boundary::
  u_ = TestFunction(V)
  u = Function(V, name='Displacement')
  a = inner(sigma(du), eps(u_))*dx
- 
+
  # uniform traction on top boundary
  T = Constant((0, 1e-3))
  l = dot(T, u_)*ds(1)
 
-Symmetric boundary conditions are applied on the ``Top`` and ``Left`` boundaries 
+Symmetric boundary conditions are applied on the ``Top`` and ``Left`` boundaries
 and the problem is solved::
 
  # symmetry boundary conditions
@@ -135,12 +138,12 @@ and the problem is solved::
        DirichletBC(V.sub(1), Constant(0.), facets, 3)]
 
  solve(a == l, u, bc)
- 
+
  import matplotlib.pyplot as plt
  p = plot(sigma(u)[1,1]/T[1], mode='color')
  plt.colorbar(p)
  plt.title(r"$\sigma_{yy}$",fontsize=26)
- 
+
 The :math:`\sigma_{xx}` and :math:`\sigma_{yy}` components should look like
 that:
 
diff --git a/doc/_build/html/_sources/demo/modal_analysis_dynamics/cantilever_modal.py.rst.txt b/doc/_build/html/_sources/demo/modal_analysis_dynamics/cantilever_modal.py.rst.txt
index d52f9e8..c3d082b 100644
--- a/doc/_build/html/_sources/demo/modal_analysis_dynamics/cantilever_modal.py.rst.txt
+++ b/doc/_build/html/_sources/demo/modal_analysis_dynamics/cantilever_modal.py.rst.txt
@@ -1,3 +1,6 @@
+.. raw:: html
+
+ <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
 
 .. _ModalAnalysis:
 
diff --git a/doc/_build/html/_sources/demo/reissner_mindlin/reissner_mindlin_dg.py.rst.txt b/doc/_build/html/_sources/demo/reissner_mindlin/reissner_mindlin_dg.py.rst.txt
index 6e4ab39..fa70b4f 100644
--- a/doc/_build/html/_sources/demo/reissner_mindlin/reissner_mindlin_dg.py.rst.txt
+++ b/doc/_build/html/_sources/demo/reissner_mindlin/reissner_mindlin_dg.py.rst.txt
@@ -1,3 +1,6 @@
+.. raw:: html
+
+ <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
 
 .. _ReissnerMindlinDG:
 
diff --git a/doc/_build/html/_sources/demo/reissner_mindlin/reissner_mindlin_quads.py.rst.txt b/doc/_build/html/_sources/demo/reissner_mindlin/reissner_mindlin_quads.py.rst.txt
index cb192fd..3fd1a0f 100644
--- a/doc/_build/html/_sources/demo/reissner_mindlin/reissner_mindlin_quads.py.rst.txt
+++ b/doc/_build/html/_sources/demo/reissner_mindlin/reissner_mindlin_quads.py.rst.txt
@@ -1,3 +1,6 @@
+.. raw:: html
+
+ <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
 
 .. _ReissnerMindlinQuads:
 
diff --git a/doc/_build/html/_sources/intro.rst.txt b/doc/_build/html/_sources/intro.rst.txt
index 362f765..3f00475 100644
--- a/doc/_build/html/_sources/intro.rst.txt
+++ b/doc/_build/html/_sources/intro.rst.txt
@@ -11,10 +11,10 @@ What is it about ?
 ------------------------
 
 
-These numerical tours will introduce you to a wide variety of topics in 
-computational continuum and structural mechanics using the finite element software FEniCS. 
+These numerical tours will introduce you to a wide variety of topics in
+computational continuum and structural mechanics using the finite element software FEniCS.
 Many covered topics can be considered as standard and will help the reader in
-getting started with FEniCS using solid mechanics examples. 
+getting started with FEniCS using solid mechanics examples.
 
 Other topics will also be more exploratory and will reflect currently investigated research topics,
 illustrating the versatility of FEniCS.
@@ -22,33 +22,40 @@ illustrating the versatility of FEniCS.
 The full set of demos can be obtained from the *COmputational MEchanics Toolbox* (COMET) available at
 https://gitlab.enpc.fr/jeremy.bleyer/comet-fenics.
 
+--------------------
+Citing and license
+--------------------
+
 If you find these demos useful for your research work, please consider citing them using the following
 Zenodo DOI https://doi.org/10.5281/zenodo.1287832
 
 .. code-block:: none
 
-	@article{bleyer2018numericaltours, 
-	title={Numerical Tours of Computational Mechanics with FEniCS}, 
-	DOI={10.5281/zenodo.1287832}, 
-	publisher={Zenodo}, 
-	author={Jeremy Bleyer}, 
+	@article{bleyer2018numericaltours,
+	title={Numerical Tours of Computational Mechanics with FEniCS},
+	DOI={10.5281/zenodo.1287832},
+	publisher={Zenodo},
+	author={Jeremy Bleyer},
 	year={2018}}
 
+All this work is licensed under the `Creative Commons Attribution-ShareAlike 4.0 International License <http://creativecommons.org/licenses/by-sa/4.0/>`_ |license|.
+
+.. |license| image:: https://i.creativecommons.org/l/by-sa/4.0/88x31.png
 
 -----------------------
-How do I get started ? 
+How do I get started ?
 -----------------------
 
-You can find instructions on how to install FEniCS on the FEniCS project website 
-http://fenicsproject.org. In the following numerical tours, we will use the 
+You can find instructions on how to install FEniCS on the FEniCS project website
+http://fenicsproject.org. In the following numerical tours, we will use the
 Python interface for the different FEniCS scripts. These demos have been written
 using FEniCS 2017.2.0 but many should work with older versions.
 
-FEniCS is also distributed along with an important number of documented or 
-undocumented examples, some of them will be revisited in these tours but do not 
+FEniCS is also distributed along with an important number of documented or
+undocumented examples, some of them will be revisited in these tours but do not
 hesitate over looking at other interesting examples.
 
-In the following, we will assume that readers possess basic knowledge of FEniCS commands. 
+In the following, we will assume that readers possess basic knowledge of FEniCS commands.
 In particular, we advise you to go first through the documentation and tutorials https://fenicsproject.org/tutorial/
 if this is not the case.
 
@@ -56,9 +63,9 @@ if this is not the case.
 About the author
 ----------------------
 
-`Jeremy Bleyer <https://sites.google.com/site/bleyerjeremy/>`_ is a researcher 
-in Solid and Structural Mechanics at `Laboratoire Navier <http://navier.enpc.fr>`_, 
-a joint research unit of `Ecole Nationale des Ponts et Chaussées <http://www.enpc.fr>`_, 
+`Jeremy Bleyer <https://sites.google.com/site/bleyerjeremy/>`_ is a researcher
+in Solid and Structural Mechanics at `Laboratoire Navier <http://navier.enpc.fr>`_,
+a joint research unit of `Ecole Nationale des Ponts et Chaussées <http://www.enpc.fr>`_,
 `IFSTTAR <http://www.ifsttar.fr>`_ and `CNRS <http://www.cnrs.fr>`_ (UMR 8205).
 
 email: jeremy.bleyer@enpc.fr
diff --git a/doc/_build/html/demo/2D_plasticity/vonMises_plasticity.py.html b/doc/_build/html/demo/2D_plasticity/vonMises_plasticity.py.html
index 8be996a..000fd76 100644
--- a/doc/_build/html/demo/2D_plasticity/vonMises_plasticity.py.html
+++ b/doc/_build/html/demo/2D_plasticity/vonMises_plasticity.py.html
@@ -51,8 +51,8 @@
         <div class="bodywrapper">
           <div class="body" role="main">
             
-  <div class="section" id="elasto-plastic-analysis-of-a-2d-von-mises-material">
-<span id="vonmisesplasticity"></span><h1>Elasto-plastic analysis of a 2D von Mises material<a class="headerlink" href="#elasto-plastic-analysis-of-a-2d-von-mises-material" title="Permalink to this headline">¶</a></h1>
+  <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p><div class="section" id="elasto-plastic-analysis-of-a-2d-von-mises-material">
+<h1>Elasto-plastic analysis of a 2D von Mises material<a class="headerlink" href="#elasto-plastic-analysis-of-a-2d-von-mises-material" title="Permalink to this headline">¶</a></h1>
 <div class="section" id="introduction">
 <h2>Introduction<a class="headerlink" href="#introduction" title="Permalink to this headline">¶</a></h2>
 <p>This example is concerned with the incremental analysis of an elasto-plastic
@@ -410,6 +410,7 @@ when considering a zero hardening modulus.</p>
           <ul class="current">
 <li class="toctree-l1"><a class="reference internal" href="../../intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../../intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/demo/elasticity/2D_elasticity.py.html b/doc/_build/html/demo/elasticity/2D_elasticity.py.html
index d8b290f..4fa50fe 100644
--- a/doc/_build/html/demo/elasticity/2D_elasticity.py.html
+++ b/doc/_build/html/demo/elasticity/2D_elasticity.py.html
@@ -51,7 +51,7 @@
         <div class="bodywrapper">
           <div class="body" role="main">
             
-  <div class="section" id="d-linear-elasticity">
+  <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p><div class="section" id="d-linear-elasticity">
 <span id="linearelasticity2d"></span><h1>2D linear elasticity<a class="headerlink" href="#d-linear-elasticity" title="Permalink to this headline">¶</a></h1>
 <div class="section" id="introduction">
 <h2>Introduction<a class="headerlink" href="#introduction" title="Permalink to this headline">¶</a></h2>
@@ -220,6 +220,7 @@ writing/reading. Prefered output format is now .xdmf:</p>
           <ul class="current">
 <li class="toctree-l1"><a class="reference internal" href="../../intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../../intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/demo/elasticity/axisymmetric_elasticity.html b/doc/_build/html/demo/elasticity/axisymmetric_elasticity.html
index 75109eb..2932a80 100644
--- a/doc/_build/html/demo/elasticity/axisymmetric_elasticity.html
+++ b/doc/_build/html/demo/elasticity/axisymmetric_elasticity.html
@@ -217,7 +217,7 @@ div.nboutput div.output_area.stderr {
 .ansi-bold { font-weight: bold; }
 .ansi-underline { text-decoration: underline; }
 </style>
-<div class="admonition note">
+<a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p><div class="admonition note">
 <p class="admonition-title">The corresponding files can be obtained from:</p>
 <ul class="simple">
 <li>Jupyter Notebook: <a class="reference download internal" href="../../_downloads/axisymmetric_elasticity.ipynb" download=""><code class="xref download docutils literal"><span class="pre">axisymmetric_elasticity.ipynb</span></code></a></li>
@@ -2805,6 +2805,7 @@ if (IPython.notebook.kernel != null) {
           <ul class="current">
 <li class="toctree-l1"><a class="reference internal" href="../../intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../../intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/demo/elasticity/orthotropic_elasticity.py.html b/doc/_build/html/demo/elasticity/orthotropic_elasticity.py.html
index 0d4fbf3..032ca66 100644
--- a/doc/_build/html/demo/elasticity/orthotropic_elasticity.py.html
+++ b/doc/_build/html/demo/elasticity/orthotropic_elasticity.py.html
@@ -51,7 +51,7 @@
         <div class="bodywrapper">
           <div class="body" role="main">
             
-  <div class="section" id="orthotropic-linear-elasticity">
+  <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p><div class="section" id="orthotropic-linear-elasticity">
 <span id="orthotropicelasticity"></span><h1>Orthotropic linear elasticity<a class="headerlink" href="#orthotropic-linear-elasticity" title="Permalink to this headline">¶</a></h1>
 <div class="section" id="introduction">
 <h2>Introduction<a class="headerlink" href="#introduction" title="Permalink to this headline">¶</a></h2>
@@ -198,6 +198,7 @@ that:</p>
           <ul class="current">
 <li class="toctree-l1"><a class="reference internal" href="../../intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../../intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/demo/modal_analysis_dynamics/cantilever_modal.py.html b/doc/_build/html/demo/modal_analysis_dynamics/cantilever_modal.py.html
index 8af8582..d47a170 100644
--- a/doc/_build/html/demo/modal_analysis_dynamics/cantilever_modal.py.html
+++ b/doc/_build/html/demo/modal_analysis_dynamics/cantilever_modal.py.html
@@ -51,7 +51,7 @@
         <div class="bodywrapper">
           <div class="body" role="main">
             
-  <div class="section" id="modal-analysis-of-an-elastic-structure">
+  <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p><div class="section" id="modal-analysis-of-an-elastic-structure">
 <span id="modalanalysis"></span><h1>Modal analysis of an elastic structure<a class="headerlink" href="#modal-analysis-of-an-elastic-structure" title="Permalink to this headline">¶</a></h1>
 <div class="section" id="introduction">
 <h2>Introduction<a class="headerlink" href="#introduction" title="Permalink to this headline">¶</a></h2>
@@ -261,6 +261,7 @@ and the beam theory eigenfrequencies :</p>
           <ul class="current">
 <li class="toctree-l1"><a class="reference internal" href="../../intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../../intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/demo/periodic_homog_elas/periodic_homog_elas.html b/doc/_build/html/demo/periodic_homog_elas/periodic_homog_elas.html
index 522604e..9a28a0e 100644
--- a/doc/_build/html/demo/periodic_homog_elas/periodic_homog_elas.html
+++ b/doc/_build/html/demo/periodic_homog_elas/periodic_homog_elas.html
@@ -217,7 +217,7 @@ div.nboutput div.output_area.stderr {
 .ansi-bold { font-weight: bold; }
 .ansi-underline { text-decoration: underline; }
 </style>
-<div class="admonition note">
+<a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p><div class="admonition note">
 <p class="admonition-title">The corresponding files can be obtained from:</p>
 <ul class="simple">
 <li>Jupyter Notebook: <a class="reference download internal" href="../../_downloads/periodic_homog_elas.ipynb" download=""><code class="xref download docutils literal"><span class="pre">periodic_homog_elas.ipynb</span></code></a></li>
@@ -2141,6 +2141,7 @@ if (IPython.notebook.kernel != null) {
           <ul class="current">
 <li class="toctree-l1"><a class="reference internal" href="../../intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../../intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/demo/reissner_mindlin/reissner_mindlin_dg.py.html b/doc/_build/html/demo/reissner_mindlin/reissner_mindlin_dg.py.html
index c371942..c58ad9e 100644
--- a/doc/_build/html/demo/reissner_mindlin/reissner_mindlin_dg.py.html
+++ b/doc/_build/html/demo/reissner_mindlin/reissner_mindlin_dg.py.html
@@ -51,7 +51,7 @@
         <div class="bodywrapper">
           <div class="body" role="main">
             
-  <div class="section" id="reissner-mindlin-plate-with-a-discontinuous-galerkin-approach">
+  <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p><div class="section" id="reissner-mindlin-plate-with-a-discontinuous-galerkin-approach">
 <span id="reissnermindlindg"></span><h1>Reissner-Mindlin plate with a Discontinuous-Galerkin approach<a class="headerlink" href="#reissner-mindlin-plate-with-a-discontinuous-galerkin-approach" title="Permalink to this headline">¶</a></h1>
 <div class="section" id="introduction">
 <h2>Introduction<a class="headerlink" href="#introduction" title="Permalink to this headline">¶</a></h2>
@@ -195,6 +195,7 @@ so that no term arise in the linear functional):</p>
           <ul class="current">
 <li class="toctree-l1"><a class="reference internal" href="../../intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../../intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/demo/reissner_mindlin/reissner_mindlin_quads.py.html b/doc/_build/html/demo/reissner_mindlin/reissner_mindlin_quads.py.html
index f54e698..789541a 100644
--- a/doc/_build/html/demo/reissner_mindlin/reissner_mindlin_quads.py.html
+++ b/doc/_build/html/demo/reissner_mindlin/reissner_mindlin_quads.py.html
@@ -51,7 +51,7 @@
         <div class="bodywrapper">
           <div class="body" role="main">
             
-  <div class="section" id="reissner-mindlin-plate-with-quadrilaterals">
+  <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p><div class="section" id="reissner-mindlin-plate-with-quadrilaterals">
 <span id="reissnermindlinquads"></span><h1>Reissner-Mindlin plate with Quadrilaterals<a class="headerlink" href="#reissner-mindlin-plate-with-quadrilaterals" title="Permalink to this headline">¶</a></h1>
 <div class="section" id="introduction">
 <h2>Introduction<a class="headerlink" href="#introduction" title="Permalink to this headline">¶</a></h2>
@@ -188,6 +188,7 @@ the thin plate solution.</p>
           <ul class="current">
 <li class="toctree-l1"><a class="reference internal" href="../../intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../../intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/demo/thermoelasticity/thermoelasticity.html b/doc/_build/html/demo/thermoelasticity/thermoelasticity.html
index 199ae27..f60cfef 100644
--- a/doc/_build/html/demo/thermoelasticity/thermoelasticity.html
+++ b/doc/_build/html/demo/thermoelasticity/thermoelasticity.html
@@ -217,7 +217,7 @@ div.nboutput div.output_area.stderr {
 .ansi-bold { font-weight: bold; }
 .ansi-underline { text-decoration: underline; }
 </style>
-<div class="admonition note">
+<a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p><div class="admonition note">
 <p class="admonition-title">The corresponding files can be obtained from:</p>
 <ul class="simple">
 <li>Jupyter Notebook: <a class="reference download internal" href="../../_downloads/thermoelasticity.ipynb" download=""><code class="xref download docutils literal"><span class="pre">thermoelasticity.ipynb</span></code></a></li>
@@ -4327,6 +4327,7 @@ if (IPython.notebook.kernel != null) {
           <ul class="current">
 <li class="toctree-l1"><a class="reference internal" href="../../intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../../intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/demo/thermoelasticity/thermoelasticity_transient.html b/doc/_build/html/demo/thermoelasticity/thermoelasticity_transient.html
index 07f421d..a9081bb 100644
--- a/doc/_build/html/demo/thermoelasticity/thermoelasticity_transient.html
+++ b/doc/_build/html/demo/thermoelasticity/thermoelasticity_transient.html
@@ -217,7 +217,7 @@ div.nboutput div.output_area.stderr {
 .ansi-bold { font-weight: bold; }
 .ansi-underline { text-decoration: underline; }
 </style>
-<div class="admonition note">
+<a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p><div class="admonition note">
 <p class="admonition-title">The corresponding files can be obtained from:</p>
 <ul class="simple">
 <li>Jupyter Notebook: <a class="reference download internal" href="../../_downloads/thermoelasticity_transient.ipynb" download=""><code class="xref download docutils literal"><span class="pre">thermoelasticity_transient.ipynb</span></code></a></li>
@@ -2891,6 +2891,7 @@ Mechanics and Engineering, 85(3), 349-365.
           <ul class="current">
 <li class="toctree-l1"><a class="reference internal" href="../../intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../../intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/genindex.html b/doc/_build/html/genindex.html
index c156f72..8ee2e1b 100644
--- a/doc/_build/html/genindex.html
+++ b/doc/_build/html/genindex.html
@@ -63,6 +63,7 @@
           <ul>
 <li class="toctree-l1"><a class="reference internal" href="intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/homogenization.html b/doc/_build/html/homogenization.html
index 6f45469..b4d4db7 100644
--- a/doc/_build/html/homogenization.html
+++ b/doc/_build/html/homogenization.html
@@ -71,6 +71,7 @@
           <ul class="current">
 <li class="toctree-l1"><a class="reference internal" href="intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/index.html b/doc/_build/html/index.html
index 550a99f..4b0653b 100644
--- a/doc/_build/html/index.html
+++ b/doc/_build/html/index.html
@@ -55,6 +55,7 @@
 <ul>
 <li class="toctree-l1"><a class="reference internal" href="intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#about-the-author">About the author</a></li>
 </ul>
@@ -103,6 +104,7 @@
           <ul>
 <li class="toctree-l1"><a class="reference internal" href="intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/intro.html b/doc/_build/html/intro.html
index 3902b8d..4065d8b 100644
--- a/doc/_build/html/intro.html
+++ b/doc/_build/html/intro.html
@@ -64,6 +64,9 @@ getting started with FEniCS using solid mechanics examples.</p>
 illustrating the versatility of FEniCS.</p>
 <p>The full set of demos can be obtained from the <em>COmputational MEchanics Toolbox</em> (COMET) available at
 <a class="reference external" href="https://gitlab.enpc.fr/jeremy.bleyer/comet-fenics">https://gitlab.enpc.fr/jeremy.bleyer/comet-fenics</a>.</p>
+</div>
+<div class="section" id="citing-and-license">
+<h2>Citing and license<a class="headerlink" href="#citing-and-license" title="Permalink to this headline">¶</a></h2>
 <p>If you find these demos useful for your research work, please consider citing them using the following
 Zenodo DOI <a class="reference external" href="https://doi.org/10.5281/zenodo.1287832">https://doi.org/10.5281/zenodo.1287832</a></p>
 <div class="highlight-none"><div class="highlight"><pre><span></span>@article{bleyer2018numericaltours,
@@ -74,6 +77,7 @@ author={Jeremy Bleyer},
 year={2018}}
 </pre></div>
 </div>
+<p>All this work is licensed under the <a class="reference external" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a> <img alt="license" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png" />.</p>
 </div>
 <div class="section" id="how-do-i-get-started">
 <h2>How do I get started ?<a class="headerlink" href="#how-do-i-get-started" title="Permalink to this headline">¶</a></h2>
@@ -110,6 +114,7 @@ a joint research unit of <a class="reference external" href="http://www.enpc.fr"
           <ul class="current">
 <li class="toctree-l1 current"><a class="current reference internal" href="#">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="#about-the-author">About the author</a></li>
 </ul>
@@ -121,6 +126,7 @@ a joint research unit of <a class="reference external" href="http://www.enpc.fr"
 <li class="toctree-l2"><a class="reference internal" href="demo/thermoelasticity/thermoelasticity.html">Linear thermoelasticity (weak coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="demo/thermoelasticity/thermoelasticity_transient.html">Thermo-elastic evolution problem (full coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="demo/modal_analysis_dynamics/cantilever_modal.py.html">Modal analysis of an elastic structure</a></li>
+<li class="toctree-l2"><a class="reference internal" href="demo/elastodynamics/demo_elastodynamics.py.html">Time-integration of elastodynamics equation</a></li>
 </ul>
 </li>
 <li class="toctree-l1"><a class="reference internal" href="homogenization.html">Homogenization of heterogeneous materials</a><ul>
@@ -128,10 +134,13 @@ a joint research unit of <a class="reference external" href="http://www.enpc.fr"
 </ul>
 </li>
 <li class="toctree-l1"><a class="reference internal" href="nonlinear_problems.html">Nonlinear problems in solid mechanics</a><ul>
+<li class="toctree-l2"><a class="reference internal" href="demo/viscoelasticity/linear_viscoelasticity.html">Linear viscoelasticity</a></li>
 <li class="toctree-l2"><a class="reference internal" href="demo/2D_plasticity/vonMises_plasticity.py.html">Elasto-plastic analysis of a 2D von Mises material</a></li>
+<li class="toctree-l2"><a class="reference internal" href="demo/contact/penalty.html">Hertzian contact with a rigid indenter using a penalty approach</a></li>
 </ul>
 </li>
-<li class="toctree-l1"><a class="reference internal" href="demo/reissner_mindlin/reissner_mindlin.html">Reissner-Mindlin plates</a><ul>
+<li class="toctree-l1"><a class="reference internal" href="beams_and_plates.html">Beams and plates</a><ul>
+<li class="toctree-l2"><a class="reference internal" href="demo/timoshenko/beam_buckling.html">Eulerian buckling of a beam</a></li>
 <li class="toctree-l2"><a class="reference internal" href="demo/reissner_mindlin/reissner_mindlin_quads.py.html">Reissner-Mindlin plate with Quadrilaterals</a></li>
 <li class="toctree-l2"><a class="reference internal" href="demo/reissner_mindlin/reissner_mindlin_dg.py.html">Reissner-Mindlin plate with a Discontinuous-Galerkin approach</a></li>
 </ul>
diff --git a/doc/_build/html/linear_problems.html b/doc/_build/html/linear_problems.html
index a902001..4b34d65 100644
--- a/doc/_build/html/linear_problems.html
+++ b/doc/_build/html/linear_problems.html
@@ -77,6 +77,7 @@
           <ul class="current">
 <li class="toctree-l1"><a class="reference internal" href="intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/nonlinear_problems.html b/doc/_build/html/nonlinear_problems.html
index 4646c3c..2ccf10e 100644
--- a/doc/_build/html/nonlinear_problems.html
+++ b/doc/_build/html/nonlinear_problems.html
@@ -73,6 +73,7 @@
           <ul class="current">
 <li class="toctree-l1"><a class="reference internal" href="intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/objects.inv b/doc/_build/html/objects.inv
index b324983c9f1b28f472898534166e10e1921fcc06..34d19d9359c5915b18d7fcfeee8ec73f6755ac6c 100644
GIT binary patch
delta 2389
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diff --git a/doc/_build/html/search.html b/doc/_build/html/search.html
index c22b7f1..2b609ca 100644
--- a/doc/_build/html/search.html
+++ b/doc/_build/html/search.html
@@ -86,6 +86,7 @@
           <ul>
 <li class="toctree-l1"><a class="reference internal" href="intro.html">Introduction</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#what-is-it-about">What is it about ?</a></li>
+<li class="toctree-l2"><a class="reference internal" href="intro.html#citing-and-license">Citing and license</a></li>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#how-do-i-get-started">How do I get started ?</a></li>
 <li class="toctree-l2"><a class="reference internal" href="intro.html#about-the-author">About the author</a></li>
 </ul>
diff --git a/doc/_build/html/searchindex.js b/doc/_build/html/searchindex.js
index 82a4aea..d141cdf 100644
--- a/doc/_build/html/searchindex.js
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\ No newline at end of file
diff --git a/doc/_build/html/tips_and_tricks.html b/doc/_build/html/tips_and_tricks.html
index 2b02ff0..a95ebc9 100644
--- a/doc/_build/html/tips_and_tricks.html
+++ b/doc/_build/html/tips_and_tricks.html
@@ -88,9 +88,11 @@
 <li class="toctree-l1"><a class="reference internal" href="linear_problems.html">Linear problems in solid mechanics</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="demo/elasticity/2D_elasticity.py.html">2D linear elasticity</a></li>
 <li class="toctree-l2"><a class="reference internal" href="demo/elasticity/orthotropic_elasticity.py.html">Orthotropic linear elasticity</a></li>
+<li class="toctree-l2"><a class="reference internal" href="demo/elasticity/axisymmetric_elasticity.html">Axisymmetric formulation for elastic structures of revolution</a></li>
 <li class="toctree-l2"><a class="reference internal" href="demo/thermoelasticity/thermoelasticity.html">Linear thermoelasticity (weak coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="demo/thermoelasticity/thermoelasticity_transient.html">Thermo-elastic evolution problem (full coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="demo/modal_analysis_dynamics/cantilever_modal.py.html">Modal analysis of an elastic structure</a></li>
+<li class="toctree-l2"><a class="reference internal" href="demo/elastodynamics/demo_elastodynamics.py.html">Time-integration of elastodynamics equation</a></li>
 </ul>
 </li>
 <li class="toctree-l1"><a class="reference internal" href="homogenization.html">Homogenization of heterogeneous materials</a><ul>
@@ -98,10 +100,13 @@
 </ul>
 </li>
 <li class="toctree-l1"><a class="reference internal" href="nonlinear_problems.html">Nonlinear problems in solid mechanics</a><ul>
+<li class="toctree-l2"><a class="reference internal" href="demo/viscoelasticity/linear_viscoelasticity.html">Linear viscoelasticity</a></li>
 <li class="toctree-l2"><a class="reference internal" href="demo/2D_plasticity/vonMises_plasticity.py.html">Elasto-plastic analysis of a 2D von Mises material</a></li>
+<li class="toctree-l2"><a class="reference internal" href="demo/contact/penalty.html">Hertzian contact with a rigid indenter using a penalty approach</a></li>
 </ul>
 </li>
-<li class="toctree-l1"><a class="reference internal" href="demo/reissner_mindlin/reissner_mindlin.html">Reissner-Mindlin plates</a><ul>
+<li class="toctree-l1"><a class="reference internal" href="beams_and_plates.html">Beams and plates</a><ul>
+<li class="toctree-l2"><a class="reference internal" href="demo/timoshenko/beam_buckling.html">Eulerian buckling of a beam</a></li>
 <li class="toctree-l2"><a class="reference internal" href="demo/reissner_mindlin/reissner_mindlin_quads.py.html">Reissner-Mindlin plate with Quadrilaterals</a></li>
 <li class="toctree-l2"><a class="reference internal" href="demo/reissner_mindlin/reissner_mindlin_dg.py.html">Reissner-Mindlin plate with a Discontinuous-Galerkin approach</a></li>
 </ul>
diff --git a/doc/conf.py b/doc/conf.py
index a1fea5e..3c9bb1e 100644
--- a/doc/conf.py
+++ b/doc/conf.py
@@ -280,6 +280,10 @@ texinfo_documents = [
 #{% set docname = env.doc2path(env.docname, base='doc') %}
 nbsphinx_prolog = r"""
 {% set docname = env.docname.split("/")[-1] %}
+.. raw:: html
+
+ <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
+
 .. role:: raw-html(raw)
  :format: html
 .. nbinfo::
diff --git a/doc/intro.rst b/doc/intro.rst
index 362f765..3f00475 100644
--- a/doc/intro.rst
+++ b/doc/intro.rst
@@ -11,10 +11,10 @@ What is it about ?
 ------------------------
 
 
-These numerical tours will introduce you to a wide variety of topics in 
-computational continuum and structural mechanics using the finite element software FEniCS. 
+These numerical tours will introduce you to a wide variety of topics in
+computational continuum and structural mechanics using the finite element software FEniCS.
 Many covered topics can be considered as standard and will help the reader in
-getting started with FEniCS using solid mechanics examples. 
+getting started with FEniCS using solid mechanics examples.
 
 Other topics will also be more exploratory and will reflect currently investigated research topics,
 illustrating the versatility of FEniCS.
@@ -22,33 +22,40 @@ illustrating the versatility of FEniCS.
 The full set of demos can be obtained from the *COmputational MEchanics Toolbox* (COMET) available at
 https://gitlab.enpc.fr/jeremy.bleyer/comet-fenics.
 
+--------------------
+Citing and license
+--------------------
+
 If you find these demos useful for your research work, please consider citing them using the following
 Zenodo DOI https://doi.org/10.5281/zenodo.1287832
 
 .. code-block:: none
 
-	@article{bleyer2018numericaltours, 
-	title={Numerical Tours of Computational Mechanics with FEniCS}, 
-	DOI={10.5281/zenodo.1287832}, 
-	publisher={Zenodo}, 
-	author={Jeremy Bleyer}, 
+	@article{bleyer2018numericaltours,
+	title={Numerical Tours of Computational Mechanics with FEniCS},
+	DOI={10.5281/zenodo.1287832},
+	publisher={Zenodo},
+	author={Jeremy Bleyer},
 	year={2018}}
 
+All this work is licensed under the `Creative Commons Attribution-ShareAlike 4.0 International License <http://creativecommons.org/licenses/by-sa/4.0/>`_ |license|.
+
+.. |license| image:: https://i.creativecommons.org/l/by-sa/4.0/88x31.png
 
 -----------------------
-How do I get started ? 
+How do I get started ?
 -----------------------
 
-You can find instructions on how to install FEniCS on the FEniCS project website 
-http://fenicsproject.org. In the following numerical tours, we will use the 
+You can find instructions on how to install FEniCS on the FEniCS project website
+http://fenicsproject.org. In the following numerical tours, we will use the
 Python interface for the different FEniCS scripts. These demos have been written
 using FEniCS 2017.2.0 but many should work with older versions.
 
-FEniCS is also distributed along with an important number of documented or 
-undocumented examples, some of them will be revisited in these tours but do not 
+FEniCS is also distributed along with an important number of documented or
+undocumented examples, some of them will be revisited in these tours but do not
 hesitate over looking at other interesting examples.
 
-In the following, we will assume that readers possess basic knowledge of FEniCS commands. 
+In the following, we will assume that readers possess basic knowledge of FEniCS commands.
 In particular, we advise you to go first through the documentation and tutorials https://fenicsproject.org/tutorial/
 if this is not the case.
 
@@ -56,9 +63,9 @@ if this is not the case.
 About the author
 ----------------------
 
-`Jeremy Bleyer <https://sites.google.com/site/bleyerjeremy/>`_ is a researcher 
-in Solid and Structural Mechanics at `Laboratoire Navier <http://navier.enpc.fr>`_, 
-a joint research unit of `Ecole Nationale des Ponts et Chaussées <http://www.enpc.fr>`_, 
+`Jeremy Bleyer <https://sites.google.com/site/bleyerjeremy/>`_ is a researcher
+in Solid and Structural Mechanics at `Laboratoire Navier <http://navier.enpc.fr>`_,
+a joint research unit of `Ecole Nationale des Ponts et Chaussées <http://www.enpc.fr>`_,
 `IFSTTAR <http://www.ifsttar.fr>`_ and `CNRS <http://www.cnrs.fr>`_ (UMR 8205).
 
 email: jeremy.bleyer@enpc.fr
diff --git a/examples/2D_plasticity/vonMises_plasticity.py.rst b/examples/2D_plasticity/vonMises_plasticity.py.rst
index 95444e1..215cf08 100644
--- a/examples/2D_plasticity/vonMises_plasticity.py.rst
+++ b/examples/2D_plasticity/vonMises_plasticity.py.rst
@@ -1,6 +1,10 @@
 
 .. _vonMisesPlasticity:
 
+.. raw:: html
+
+ <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
+
 ==================================================
 Elasto-plastic analysis of a 2D von Mises material
 ==================================================
diff --git a/examples/contact/.ipynb_checkpoints/penalty-checkpoint.ipynb b/examples/contact/.ipynb_checkpoints/penalty-checkpoint.ipynb
index f9e3a57..7c7d729 100644
--- a/examples/contact/.ipynb_checkpoints/penalty-checkpoint.ipynb
+++ b/examples/contact/.ipynb_checkpoints/penalty-checkpoint.ipynb
@@ -6,7 +6,10 @@
    "source": [
     "# Hertzian contact with a rigid indenter using a penalty approach\n",
     "\n",
-    "In this numerical tour, we explore the formulation of frictionless contact between a rigid surface (the indenter) and an elastic domain, representing an infinite half-space for the present case. Contact will be solved using a penalty formulation, that is small interpenetration between the solid and the identer will be authorized. Prerequisites for this tour are the formulation of an linear elasticity problem and the resolution of a general nonlinear variational problem."
+    "In this numerical tour, we explore the formulation of frictionless contact between a rigid surface (the indenter) and an elastic domain, representing an infinite half-space for the present case. Contact will be solved using a penalty formulation, that is small interpenetration between the solid and the indenter will be authorized. Prerequisites for this tour are the formulation of an linear elasticity problem and the resolution of a general nonlinear variational problem. See for instance:\n",
+    "\n",
+    "* https://comet-fenics.readthedocs.io/en/latest/demo/elasticity/2D_elasticity.py.html\n",
+    "* https://fenicsproject.org/docs/dolfin/2018.1.0/python/demos/hyperelasticity/demo_hyperelasticity.py.html"
    ]
   },
   {
@@ -28,13 +31,13 @@
    "source": [
     "The elastic (isotropic $E,\\nu$) solid will be represented by a 3D cubic domain of unit dimension and contact will take place on its top surface $z=0$, centered at $x=y=0$. Symmetry conditions will be applied on the $x=0$ and $y=0$ surfaces whereas the bottom surface $z=-1$ will be fully fixed. If contact appears on a small region of extent $a\\ll 1$, the problem can then be considered to be a good approximation of contact on a semi-infinite domain.\n",
     "\n",
-    "The rigid indenter will not be explictly modeled (in terms of mesh in particular) but instead its distance with respect to the solid top surface will be given as an ``Expression``. We will also consider that the indenter radius $R$ is sufficiently large with respect to the contact region characteristic size $a$ so that the spherical surface can be approximated by a parabola. In this case, the distance between such an indenter and the top surface can be written as:\n",
+    "The rigid indenter will not be explictly modeled (in particular it will not be meshed) but instead its distance with respect to the solid top surface will be given as an ``Expression``. We will also consider that the indenter radius $R$ is sufficiently large with respect to the contact region characteristic size $a$ so that the spherical surface can be approximated by a parabola. In this case, the distance between such an indenter and the top surface can be written as:\n",
     "\n",
     "\\begin{equation}\n",
     "h(x,y) = h_0 + \\dfrac{1}{2R}(x^2+y^2)\n",
     "\\end{equation}\n",
     "\n",
-    "where $h_0$ is the initial gap between both surfaces at $x=y=0$. Obviously, if $h_0>0$ there is no contact between both surfaces, contact appears only if $h_0=-d<0$ where $d$ will be the indenter depth inside the surface. This classical problem admits the following known analytical solution **[REF?]**:\n",
+    "where $h_0$ is the initial gap between both surfaces at $x=y=0$. Obviously, if $h_0>0$ there is no contact between both surfaces, contact appears only if $h_0=-d<0$ where $d$ will be the indenter depth inside the surface. This classical problem admits the following known analytical solution [[1,2]](#References):\n",
     "\n",
     "* the contact area is of circular shape and radius $a=\\sqrt{Rd}$\n",
     "* the force exerted by the indenter onto the surface is $F=\\dfrac{4}{3}\\dfrac{E}{1-\\nu^2}ad$\n",
@@ -66,40 +69,49 @@
     "g \\geq 0, p\\geq 0, g\\cdot p =0 \\text{ on }\\Gamma\n",
     "\\end{equation}\n",
     "\n",
-    "where $g=h-u$ is the gap between the obstacle surface and the solid surface and $p$ is the pressure. One of the most simple way to solve approximately this contact condition consists in replacing the previous complementary conditions by the following penalized condition:\n",
+    "where $g=h-u$ is the gap between the obstacle surface and the solid surface and $p=-\\sigma_{zz}$ is the pressure. One of the most simple way to solve approximately this contact condition consists in replacing the previous complementary conditions by the following penalized condition:\n",
     "\n",
     "\\begin{equation}\n",
-    "p = k\\ppos(-g)\n",
+    "p = k\\langle -g\\rangle_+ = k\\langle u-h\\rangle_+\n",
     "\\end{equation}\n",
     "\n",
-    "where $k$ is a large penalizing stiffness coefficient. With the previous relation, the pressure will be positive but a small negative gap will be authorized. "
+    "where $\\langle x\\rangle_+ = (|x|+x)/2$ is the positive part (Mackauley bracket) and $k$ is a large penalizing stiffness coefficient. With the previous relation, the pressure will be positive but a small negative gap will be authorized.\n",
+    "\n",
+    "## Implementation\n",
+    "\n",
+    "First, a unit cubic mesh is defined and some mapping is applied on the mesh nodes in order to refine the element size near the contact area (around $x=y=z=0$) and change to a $[0;1]\\times [0;1]\\times[-1;0]$ domain."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 2,
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
-      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
-      "Maximum pressure FE: 1.42763078681 Hertz: 1.39916433487:\n",
-      "Applied force FE: 0.0320642723007 Hertz: 0.029304029304:\n"
-     ]
-    }
-   ],
+   "outputs": [],
    "source": [
     "from dolfin import *\n",
     "import numpy as np\n",
     "\n",
     "N = 30\n",
     "mesh = UnitCubeMesh.create(N, N, N/2, CellType.Type_hexahedron)\n",
+    "# mesh size is smaller near x=y=0\n",
     "mesh.coordinates()[:, :2] = mesh.coordinates()[:, :2]**2\n",
-    "mesh.coordinates()[:, 2] = -mesh.coordinates()[:, 2]**2\n",
-    "\n",
+    "# mesh size is smaller near z=0 and mapped to a [-1;0] domain along z\n",
+    "mesh.coordinates()[:, 2] = -mesh.coordinates()[:, 2]**2"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The top surface is defined as a ``SubDomain`` and corresponding exterior facets are marked as 1. Functions for imposition of Dirichlet BC on other boundaries are also defined."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [],
+   "source": [
     "class Top(SubDomain):\n",
     "    def inside(self, x, on_boundary):\n",
     "        return near(x[2], 0.) and on_boundary\n",
@@ -114,18 +126,26 @@
     "facets = MeshFunction(\"size_t\", mesh, 2)\n",
     "facets.set_all(0)\n",
     "Top().mark(facets, 1)\n",
-    "ds = Measure('ds', subdomain_data=facets)\n",
-    "\n",
+    "ds = Measure('ds', subdomain_data=facets)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The obstacle shape $h(x,y)$ is now defined and a small indentation depth $d$ is considered. Standard function spaces are then defined for the problem formulation and output field exports. In particular, gap and pressure will be saved later. Finally, the ``DirichletBC`` are defined."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [],
+   "source": [
     "R = 0.5\n",
     "d = 0.02\n",
     "obstacle = Expression(\"-d+(pow(x[0],2)+pow(x[1], 2))/2/R\", d=d, R=R, degree=2)\n",
     "\n",
-    "E = Constant(10.)\n",
-    "nu = Constant(0.3)\n",
-    "mu = E/2/(1+nu)\n",
-    "lmbda = E*nu/(1+nu)/(1-2*nu)\n",
-    "\n",
-    "\n",
     "V = VectorFunctionSpace(mesh, \"CG\", 1)\n",
     "V2 = FunctionSpace(mesh, \"CG\", 1)\n",
     "V0 = FunctionSpace(mesh, \"DG\", 0)\n",
@@ -133,50 +153,111 @@
     "u = Function(V, name=\"Displacement\")\n",
     "du = TrialFunction(V)\n",
     "u_ = TestFunction(V)\n",
-    "h = Function(V2)\n",
     "gap = Function(V2, name=\"Gap\")\n",
     "p = Function(V0, name=\"Contact pressure\")\n",
     "\n",
-    "\n",
-    "def border(x, on_boundary):\n",
-    "    return on_boundary\n",
     "bc =[DirichletBC(V, Constant((0., 0., 0.)), bottom),\n",
     "     DirichletBC(V.sub(0), Constant(0.), symmetry_x),\n",
-    "     DirichletBC(V.sub(1), Constant(0.), symmetry_y)]\n",
+    "     DirichletBC(V.sub(1), Constant(0.), symmetry_y)]"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The elastic constants and functions for formulating the weak form are defined. A penalization stiffness ``pen`` is introduced and the penalized weak form\n",
     "\n",
+    "\\begin{equation}\n",
+    "\\text{Find } u \\text{ such that } \\int_{\\Omega} \\sigma(u):\\varepsilon(v)d\\Omega + k_{pen}\\int_{\\Gamma} \\langle u-h\\rangle_+ v dS = 0\n",
+    "\\end{equation}\n",
+    "\n",
+    "is defined. The corresponding Jacobian ``J`` is also computed using automatic differentiation."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "E = Constant(10.)\n",
+    "nu = Constant(0.3)\n",
+    "mu = E/2/(1+nu)\n",
+    "lmbda = E*nu/(1+nu)/(1-2*nu)\n",
     "def eps(v):\n",
     "    return sym(grad(v))\n",
-    "\n",
     "def sigma(v):\n",
     "    return lmbda*tr(eps(v))*Identity(3) + 2.0*mu*eps(v)\n",
-    "\n",
     "def ppos(x):\n",
     "    return (x+abs(x))/2.\n",
     "\n",
     "pen = Constant(1e4)\n",
     "form = inner(sigma(u), eps(u_))*dx + pen*dot(u_[2], ppos(u[2]-obstacle))*ds(1)\n",
-    "J = derivative(form, u, du)\n",
+    "J = derivative(form, u, du)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "A non-linear solver is now defined for solving the previous problem. Due to the 3D nature of the problem with a significant number of elements, an iterative Conjugate-Gradient solver is chosen for the linear solver inside the Newton iterations. Note that choosing a large penalization parameter deteriorates the problem conditioning so that solving time will drastically increase and can eventually fail. "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(8, 1)"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
     "problem = NonlinearVariationalProblem(form, u, bc, J=J)\n",
     "solver = NonlinearVariationalSolver(problem)\n",
     "solver.parameters[\"newton_solver\"][\"linear_solver\"] = \"cg\"\n",
     "solver.parameters[\"newton_solver\"][\"preconditioner\"] = \"ilu\"\n",
     "\n",
-    "\n",
-    "h.interpolate(obstacle)\n",
-    "solver.solve()\n",
-    "\n",
+    "solver.solve()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "As post-processing, the gap is computed (here on the whole mesh) as well as the pressure. The maximal pressure and the total force resultant (note the factor 4 due to the symmetry of the problem) are compared with respect to the analytical solution. Finally, XDMF output is performed."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Maximum pressure FE:  1.42763 Hertz:  1.39916\n",
+      "Applied force    FE:  0.03206 Hertz:  0.02930\n"
+     ]
+    }
+   ],
+   "source": [
     "p.assign(-project(sigma(u)[2, 2], V0))\n",
-    "gap.assign(project(h-u[2], V2))\n",
-    "\n",
-    "#pl = plot(p)\n",
-    "#plt.colorbar(pl)\n",
-    "#plt.show()\n",
+    "gap.assign(project(obstacle-u[2], V2))\n",
     "\n",
     "a = sqrt(R*d)\n",
     "F = 4/3.*float(E)/(1-float(nu)**2)*a*d\n",
     "p0 = 3*F/(2*pi*a**2)\n",
-    "print(\"Maximum pressure FE: {} Hertz: {}:\".format(max(np.abs(p.vector().get_local())), p0))\n",
-    "print(\"Applied force FE: {} Hertz: {}:\".format(4*assemble(p*ds(1)), F))\n",
+    "print(\"Maximum pressure FE: {0:8.5f} Hertz: {1:8.5f}\".format(max(np.abs(p.vector().get_local())), p0))\n",
+    "print(\"Applied force    FE: {0:8.5f} Hertz: {1:8.5f}\".format(4*assemble(p*ds(1)), F))\n",
     "\n",
     "file_results = XDMFFile(\"contact_penalty_results.xdmf\")\n",
     "file_results.parameters[\"flush_output\"] = True\n",
@@ -185,6 +266,44 @@
     "file_results.write(gap, 0.)\n",
     "file_results.write(p, 0.)"
    ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Maximum pressure over the contact surface and total applied force by the indenter are computed and compared against the analytical solution. Comparison between both solutions shows good agreement although the quality of the results is quite dependent on the chosen penalty sitffness. Here is what the solution looks like."
+   ]
+  },
+  {
+   "cell_type": "raw",
+   "metadata": {
+    "raw_mimetype": "text/restructuredtext"
+   },
+   "source": [
+    ".. figure:: contact_FE.png\n",
+    "   :scale: 50%\n",
+    "   :align: center"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## References\n",
+    "\n",
+    "[1] K.L., Johnson, Contact Mechanics, Cambridge University Press, 1987\n",
+    "\n",
+    "[2] S.P. Timoshenko, J.N. Goodier. Theory of Elasticity, MacGraw Hill International Book, 1982"
+   ]
+  },
+  {
+   "cell_type": "raw",
+   "metadata": {
+    "raw_mimetype": "text/html"
+   },
+   "source": [
+    "<a rel=\"license\" href=\"http://creativecommons.org/licenses/by-sa/4.0/\"><img alt=\"Creative Commons License\" style=\"border-width:0\" src=\"https://i.creativecommons.org/l/by-sa/4.0/88x31.png\" /></a><br />This work is licensed under a <a rel=\"license\" href=\"http://creativecommons.org/licenses/by-sa/4.0/\">Creative Commons Attribution-ShareAlike 4.0 International License</a>"
+   ]
   }
  ],
  "metadata": {
diff --git a/examples/contact/augmented_lagrangian.ipynb b/examples/contact/augmented_lagrangian.ipynb
index 375441a..3dd9a22 100644
--- a/examples/contact/augmented_lagrangian.ipynb
+++ b/examples/contact/augmented_lagrangian.ipynb
@@ -9,21 +9,26 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 61,
+   "execution_count": 1,
    "metadata": {},
    "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/usr/lib/python2.7/dist-packages/ffc/jitcompiler.py:235: QuadratureRepresentationDeprecationWarning: \n",
+      "*** ===================================================== ***\n",
+      "*** FFC: quadrature representation is deprecated! It will ***\n",
+      "*** likely be removed in 2018.1.0 release. Use uflacs     ***\n",
+      "*** representation instead.                               ***\n",
+      "*** ===================================================== ***\n",
+      "  issue_deprecation_warning()\n"
+     ]
+    },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "                          Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
-      "                            Ignoring precision in integral metadata compiled using quadrature representation. Not implemented.\n",
-      "                          Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
-      "                            Ignoring precision in integral metadata compiled using quadrature representation. Not implemented.\n",
-      "                          Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
-      "                            Ignoring precision in integral metadata compiled using quadrature representation. Not implemented.\n",
-      "                          Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
-      "                            Ignoring precision in integral metadata compiled using quadrature representation. Not implemented.\n",
       "Residual: 1.04457776733e-05\n",
       "Residual: 8.09266832477e-06\n",
       "Residual: 6.445405364e-06\n"
@@ -36,8 +41,8 @@
      "traceback": [
       "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
       "\u001b[0;31mRuntimeError\u001b[0m                              Traceback (most recent call last)",
-      "\u001b[0;32m<ipython-input-61-f238365fa626>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m     86\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     87\u001b[0m \u001b[0mh\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minterpolate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mobstacle\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 88\u001b[0;31m \u001b[0msolve_Uzawa\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
-      "\u001b[0;32m<ipython-input-61-f238365fa626>\u001b[0m in \u001b[0;36msolve_Uzawa\u001b[0;34m(tol)\u001b[0m\n\u001b[1;32m     67\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     68\u001b[0m         \u001b[0mlocal_project\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0malpha\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mppos\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mh\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mP\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 69\u001b[0;31m         \u001b[0msolve\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mform\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mu\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mJ\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mJ\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     70\u001b[0m         \u001b[0;31m#gap.assign(project(h-u, P))\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     71\u001b[0m         \u001b[0;31m#p.vector()[:] = np.minimum(0*p_old.vector().get_local(), rho.vector().get_local() +\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+      "\u001b[0;32m<ipython-input-1-f238365fa626>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m     86\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     87\u001b[0m \u001b[0mh\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minterpolate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mobstacle\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 88\u001b[0;31m \u001b[0msolve_Uzawa\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
+      "\u001b[0;32m<ipython-input-1-f238365fa626>\u001b[0m in \u001b[0;36msolve_Uzawa\u001b[0;34m(tol)\u001b[0m\n\u001b[1;32m     67\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     68\u001b[0m         \u001b[0mlocal_project\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0malpha\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mppos\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mh\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mP\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 69\u001b[0;31m         \u001b[0msolve\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mform\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mu\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mJ\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mJ\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     70\u001b[0m         \u001b[0;31m#gap.assign(project(h-u, P))\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     71\u001b[0m         \u001b[0;31m#p.vector()[:] = np.minimum(0*p_old.vector().get_local(), rho.vector().get_local() +\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
       "\u001b[0;32m/usr/lib/python2.7/dist-packages/dolfin/fem/solving.pyc\u001b[0m in \u001b[0;36msolve\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m    298\u001b[0m     \u001b[0;31m# tolerance)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    299\u001b[0m     \u001b[0;32melif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mufl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclasses\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mEquation\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 300\u001b[0;31m         \u001b[0m_solve_varproblem\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    301\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    302\u001b[0m     \u001b[0;31m# Default case, just call the wrapped C++ solve function\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
       "\u001b[0;32m/usr/lib/python2.7/dist-packages/dolfin/fem/solving.pyc\u001b[0m in \u001b[0;36m_solve_varproblem\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m    347\u001b[0m         \u001b[0msolver\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mNonlinearVariationalSolver\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mproblem\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    348\u001b[0m         \u001b[0msolver\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mparameters\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msolver_parameters\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 349\u001b[0;31m         \u001b[0msolver\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msolve\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    350\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    351\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
       "\u001b[0;31mRuntimeError\u001b[0m: \n\n*** -------------------------------------------------------------------------\n*** DOLFIN encountered an error. If you are not able to resolve this issue\n*** using the information listed below, you can ask for help at\n***\n***     fenics-support@googlegroups.com\n***\n*** Remember to include the error message listed below and, if possible,\n*** include a *minimal* running example to reproduce the error.\n***\n*** -------------------------------------------------------------------------\n*** Error:   Unable to solve nonlinear system with NewtonSolver.\n*** Reason:  Newton solver did not converge because maximum number of iterations reached.\n*** Where:   This error was encountered inside NewtonSolver.cpp.\n*** Process: 0\n*** \n*** DOLFIN version: 2017.2.0\n*** Git changeset:  unknown\n*** -------------------------------------------------------------------------\n"
@@ -137,30 +142,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 60,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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N4JH8ZmxS9DbUC7hD6cf9ZB3QBn6mXMMCmvj32AI0AAoVz+Rew6dadwFNoKE0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\nAAAAAElFTkSuQmCC\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7f4019511890>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
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Dt7Wk8pKpd4KNlVIZczkU2jl35/g9mAfgX+/qL8bM6zZuhXL8LmTh\n9chDj9EqlFLHAp/pOfNd8Kn8DoR9X4QA7djHeAzeit6u/WBKqYvwthDMRrVtB7au5hflx4qXz2ut\n2zkPxgrH78E0vPk6/7rXC+0MjHX4nsSTHmYG3vyoDFEZI9dKC4IgVCCXBAqCIFQggVEQBKECCYyC\nIAgVSGAUBEGoQAKjIAhCBRIYBUEQKpDAKAiCUIEERkEQhAokMAqCIFTw/wFuDu+E63QqZAAAAABJ\nRU5ErkJggg==\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7f401cad1110>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "pl = plot(u)\n",
     "plt.colorbar(pl)\n",
diff --git a/examples/contact/contact_FE.png b/examples/contact/contact_FE.png
new file mode 100644
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diff --git a/examples/contact/penalty.ipynb b/examples/contact/penalty.ipynb
index aa12806..3339ba5 100644
--- a/examples/contact/penalty.ipynb
+++ b/examples/contact/penalty.ipynb
@@ -6,7 +6,10 @@
    "source": [
     "# Hertzian contact with a rigid indenter using a penalty approach\n",
     "\n",
-    "In this numerical tour, we explore the formulation of frictionless contact between a rigid surface (the indenter) and an elastic domain, representing an infinite half-space for the present case. Contact will be solved using a penalty formulation, that is small interpenetration between the solid and the identer will be authorized. Prerequisites for this tour are the formulation of an linear elasticity problem and the resolution of a general nonlinear variational problem."
+    "In this numerical tour, we explore the formulation of frictionless contact between a rigid surface (the indenter) and an elastic domain, representing an infinite half-space for the present case. Contact will be solved using a penalty formulation, that is small interpenetration between the solid and the indenter will be authorized. Prerequisites for this tour are the formulation of an linear elasticity problem and the resolution of a general nonlinear variational problem. See for instance:\n",
+    "\n",
+    "* https://comet-fenics.readthedocs.io/en/latest/demo/elasticity/2D_elasticity.py.html\n",
+    "* https://fenicsproject.org/docs/dolfin/2018.1.0/python/demos/hyperelasticity/demo_hyperelasticity.py.html"
    ]
   },
   {
@@ -28,13 +31,13 @@
    "source": [
     "The elastic (isotropic $E,\\nu$) solid will be represented by a 3D cubic domain of unit dimension and contact will take place on its top surface $z=0$, centered at $x=y=0$. Symmetry conditions will be applied on the $x=0$ and $y=0$ surfaces whereas the bottom surface $z=-1$ will be fully fixed. If contact appears on a small region of extent $a\\ll 1$, the problem can then be considered to be a good approximation of contact on a semi-infinite domain.\n",
     "\n",
-    "The rigid indenter will not be explictly modeled (in terms of mesh in particular) but instead its distance with respect to the solid top surface will be given as an ``Expression``. We will also consider that the indenter radius $R$ is sufficiently large with respect to the contact region characteristic size $a$ so that the spherical surface can be approximated by a parabola. In this case, the distance between such an indenter and the top surface can be written as:\n",
+    "The rigid indenter will not be explictly modeled (in particular it will not be meshed) but instead its distance with respect to the solid top surface will be given as an ``Expression``. We will also consider that the indenter radius $R$ is sufficiently large with respect to the contact region characteristic size $a$ so that the spherical surface can be approximated by a parabola. In this case, the distance between such an indenter and the top surface can be written as:\n",
     "\n",
     "\\begin{equation}\n",
     "h(x,y) = h_0 + \\dfrac{1}{2R}(x^2+y^2)\n",
     "\\end{equation}\n",
     "\n",
-    "where $h_0$ is the initial gap between both surfaces at $x=y=0$. Obviously, if $h_0>0$ there is no contact between both surfaces, contact appears only if $h_0=-d<0$ where $d$ will be the indenter depth inside the surface. This classical problem admits the following known analytical solution **[REF?]**:\n",
+    "where $h_0$ is the initial gap between both surfaces at $x=y=0$. Obviously, if $h_0>0$ there is no contact between both surfaces, contact appears only if $h_0=-d<0$ where $d$ will be the indenter depth inside the surface. This classical problem admits the following known analytical solution [[1,2]](#References):\n",
     "\n",
     "* the contact area is of circular shape and radius $a=\\sqrt{Rd}$\n",
     "* the force exerted by the indenter onto the surface is $F=\\dfrac{4}{3}\\dfrac{E}{1-\\nu^2}ad$\n",
@@ -72,34 +75,43 @@
     "p = k\\langle -g\\rangle_+ = k\\langle u-h\\rangle_+\n",
     "\\end{equation}\n",
     "\n",
-    "where $\\langle x\\rangle_+ = (|x|+x)/2$ is the positive part (Mackauley bracket) and $k$ is a large penalizing stiffness coefficient. With the previous relation, the pressure will be positive but a small negative gap will be authorized. "
+    "where $\\langle x\\rangle_+ = (|x|+x)/2$ is the positive part (Mackauley bracket) and $k$ is a large penalizing stiffness coefficient. With the previous relation, the pressure will be positive but a small negative gap will be authorized.\n",
+    "\n",
+    "## Implementation\n",
+    "\n",
+    "First, a unit cubic mesh is defined and some mapping is applied on the mesh nodes in order to refine the element size near the contact area (around $x=y=z=0$) and change to a $[0;1]\\times [0;1]\\times[-1;0]$ domain."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 2,
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
-      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
-      "Maximum pressure FE: 1.42763078681 Hertz: 1.39916433487:\n",
-      "Applied force FE: 0.0320642723007 Hertz: 0.029304029304:\n"
-     ]
-    }
-   ],
+   "outputs": [],
    "source": [
     "from dolfin import *\n",
     "import numpy as np\n",
     "\n",
     "N = 30\n",
     "mesh = UnitCubeMesh.create(N, N, N/2, CellType.Type_hexahedron)\n",
+    "# mesh size is smaller near x=y=0\n",
     "mesh.coordinates()[:, :2] = mesh.coordinates()[:, :2]**2\n",
-    "mesh.coordinates()[:, 2] = -mesh.coordinates()[:, 2]**2\n",
-    "\n",
+    "# mesh size is smaller near z=0 and mapped to a [-1;0] domain along z\n",
+    "mesh.coordinates()[:, 2] = -mesh.coordinates()[:, 2]**2"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The top surface is defined as a ``SubDomain`` and corresponding exterior facets are marked as 1. Functions for imposition of Dirichlet BC on other boundaries are also defined."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [],
+   "source": [
     "class Top(SubDomain):\n",
     "    def inside(self, x, on_boundary):\n",
     "        return near(x[2], 0.) and on_boundary\n",
@@ -114,18 +126,26 @@
     "facets = MeshFunction(\"size_t\", mesh, 2)\n",
     "facets.set_all(0)\n",
     "Top().mark(facets, 1)\n",
-    "ds = Measure('ds', subdomain_data=facets)\n",
-    "\n",
+    "ds = Measure('ds', subdomain_data=facets)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The obstacle shape $h(x,y)$ is now defined and a small indentation depth $d$ is considered. Standard function spaces are then defined for the problem formulation and output field exports. In particular, gap and pressure will be saved later. Finally, the ``DirichletBC`` are defined."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [],
+   "source": [
     "R = 0.5\n",
     "d = 0.02\n",
     "obstacle = Expression(\"-d+(pow(x[0],2)+pow(x[1], 2))/2/R\", d=d, R=R, degree=2)\n",
     "\n",
-    "E = Constant(10.)\n",
-    "nu = Constant(0.3)\n",
-    "mu = E/2/(1+nu)\n",
-    "lmbda = E*nu/(1+nu)/(1-2*nu)\n",
-    "\n",
-    "\n",
     "V = VectorFunctionSpace(mesh, \"CG\", 1)\n",
     "V2 = FunctionSpace(mesh, \"CG\", 1)\n",
     "V0 = FunctionSpace(mesh, \"DG\", 0)\n",
@@ -133,50 +153,111 @@
     "u = Function(V, name=\"Displacement\")\n",
     "du = TrialFunction(V)\n",
     "u_ = TestFunction(V)\n",
-    "h = Function(V2)\n",
     "gap = Function(V2, name=\"Gap\")\n",
     "p = Function(V0, name=\"Contact pressure\")\n",
     "\n",
-    "\n",
-    "def border(x, on_boundary):\n",
-    "    return on_boundary\n",
     "bc =[DirichletBC(V, Constant((0., 0., 0.)), bottom),\n",
     "     DirichletBC(V.sub(0), Constant(0.), symmetry_x),\n",
-    "     DirichletBC(V.sub(1), Constant(0.), symmetry_y)]\n",
+    "     DirichletBC(V.sub(1), Constant(0.), symmetry_y)]"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The elastic constants and functions for formulating the weak form are defined. A penalization stiffness ``pen`` is introduced and the penalized weak form\n",
+    "\n",
+    "\\begin{equation}\n",
+    "\\text{Find } u \\text{ such that } \\int_{\\Omega} \\sigma(u):\\varepsilon(v)d\\Omega + k_{pen}\\int_{\\Gamma} \\langle u-h\\rangle_+ v dS = 0\n",
+    "\\end{equation}\n",
     "\n",
+    "is defined. The corresponding Jacobian ``J`` is also computed using automatic differentiation."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "E = Constant(10.)\n",
+    "nu = Constant(0.3)\n",
+    "mu = E/2/(1+nu)\n",
+    "lmbda = E*nu/(1+nu)/(1-2*nu)\n",
     "def eps(v):\n",
     "    return sym(grad(v))\n",
-    "\n",
     "def sigma(v):\n",
     "    return lmbda*tr(eps(v))*Identity(3) + 2.0*mu*eps(v)\n",
-    "\n",
     "def ppos(x):\n",
     "    return (x+abs(x))/2.\n",
     "\n",
     "pen = Constant(1e4)\n",
     "form = inner(sigma(u), eps(u_))*dx + pen*dot(u_[2], ppos(u[2]-obstacle))*ds(1)\n",
-    "J = derivative(form, u, du)\n",
+    "J = derivative(form, u, du)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "A non-linear solver is now defined for solving the previous problem. Due to the 3D nature of the problem with a significant number of elements, an iterative Conjugate-Gradient solver is chosen for the linear solver inside the Newton iterations. Note that choosing a large penalization parameter deteriorates the problem conditioning so that solving time will drastically increase and can eventually fail. "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(8, 1)"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
     "problem = NonlinearVariationalProblem(form, u, bc, J=J)\n",
     "solver = NonlinearVariationalSolver(problem)\n",
     "solver.parameters[\"newton_solver\"][\"linear_solver\"] = \"cg\"\n",
     "solver.parameters[\"newton_solver\"][\"preconditioner\"] = \"ilu\"\n",
     "\n",
-    "\n",
-    "h.interpolate(obstacle)\n",
-    "solver.solve()\n",
-    "\n",
+    "solver.solve()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "As post-processing, the gap is computed (here on the whole mesh) as well as the pressure. The maximal pressure and the total force resultant (note the factor 4 due to the symmetry of the problem) are compared with respect to the analytical solution. Finally, XDMF output is performed."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Maximum pressure FE:  1.42763 Hertz:  1.39916\n",
+      "Applied force    FE:  0.03206 Hertz:  0.02930\n"
+     ]
+    }
+   ],
+   "source": [
     "p.assign(-project(sigma(u)[2, 2], V0))\n",
-    "gap.assign(project(h-u[2], V2))\n",
-    "\n",
-    "#pl = plot(p)\n",
-    "#plt.colorbar(pl)\n",
-    "#plt.show()\n",
+    "gap.assign(project(obstacle-u[2], V2))\n",
     "\n",
     "a = sqrt(R*d)\n",
     "F = 4/3.*float(E)/(1-float(nu)**2)*a*d\n",
     "p0 = 3*F/(2*pi*a**2)\n",
-    "print(\"Maximum pressure FE: {} Hertz: {}:\".format(max(np.abs(p.vector().get_local())), p0))\n",
-    "print(\"Applied force FE: {} Hertz: {}:\".format(4*assemble(p*ds(1)), F))\n",
+    "print(\"Maximum pressure FE: {0:8.5f} Hertz: {1:8.5f}\".format(max(np.abs(p.vector().get_local())), p0))\n",
+    "print(\"Applied force    FE: {0:8.5f} Hertz: {1:8.5f}\".format(4*assemble(p*ds(1)), F))\n",
     "\n",
     "file_results = XDMFFile(\"contact_penalty_results.xdmf\")\n",
     "file_results.parameters[\"flush_output\"] = True\n",
@@ -185,6 +266,35 @@
     "file_results.write(gap, 0.)\n",
     "file_results.write(p, 0.)"
    ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Maximum pressure over the contact surface and total applied force by the indenter are computed and compared against the analytical solution. Comparison between both solutions shows good agreement although the quality of the results is quite dependent on the chosen penalty sitffness. Here is what the solution looks like."
+   ]
+  },
+  {
+   "cell_type": "raw",
+   "metadata": {
+    "raw_mimetype": "text/restructuredtext"
+   },
+   "source": [
+    ".. figure:: contact_FE.png\n",
+    "   :scale: 50%\n",
+    "   :align: center"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## References\n",
+    "\n",
+    "[1] K.L., Johnson, Contact Mechanics, Cambridge University Press, 1987\n",
+    "\n",
+    "[2] S.P. Timoshenko, J.N. Goodier. Theory of Elasticity, MacGraw Hill International Book, 1982"
+   ]
   }
  ],
  "metadata": {
diff --git a/examples/elasticity/2D_elasticity.py.rst b/examples/elasticity/2D_elasticity.py.rst
index 6d2d53f..ec8b17b 100644
--- a/examples/elasticity/2D_elasticity.py.rst
+++ b/examples/elasticity/2D_elasticity.py.rst
@@ -1,8 +1,11 @@
 
 ..    # gedit: set fileencoding=utf8 :
+.. raw:: html
+
+ <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
 
-.. _LinearElasticity2D:
 
+.. _LinearElasticity2D:
 
 =========================
  2D linear elasticity
diff --git a/examples/elasticity/orthotropic_elasticity.py.rst b/examples/elasticity/orthotropic_elasticity.py.rst
index 757385d..84408aa 100644
--- a/examples/elasticity/orthotropic_elasticity.py.rst
+++ b/examples/elasticity/orthotropic_elasticity.py.rst
@@ -1,5 +1,8 @@
 
 ..    # gedit: set fileencoding=utf8 :
+.. raw:: html
+
+ <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
 
 .. _OrthotropicElasticity:
 
@@ -11,10 +14,10 @@
 Introduction
 ------------
 
-In this numerical tour, we will show how to tackle the case of orthotropic elasticity (in a 2D setting). The corresponding file can be obtained from 
+In this numerical tour, we will show how to tackle the case of orthotropic elasticity (in a 2D setting). The corresponding file can be obtained from
 :download:`orthotropic_elasticity.py`.
 
-We consider here the case of a square plate perforated by a circular hole of 
+We consider here the case of a square plate perforated by a circular hole of
 radius :math:`R`, the plate dimension is :math:`2L\times 2L` with :math:`L \gg R`
 Only the top-right quarter of the plate will be considered. Loading will consist
 of a uniform traction on the top/bottom boundaries, symmetry conditions will also
@@ -27,7 +30,7 @@ between a rectangle and a circle::
 
  L, R = 1., 0.1
  N = 50 # mesh density
-  
+
  domain = Rectangle(Point(0.,0.), Point(L, L)) - Circle(Point(0., 0.), R)
  mesh = generate_mesh(domain, N)
 
@@ -35,7 +38,7 @@ between a rectangle and a circle::
 Constitutive relation
 ---------------------
 
-Constitutive relations will be defined using an engineering (or Voigt) notation (i.e. 
+Constitutive relations will be defined using an engineering (or Voigt) notation (i.e.
 second order tensors will be written as a vector of their components) contrary
 to the :ref:`LinearElasticity2D` example which used an intrinsic notation. In
 the material frame, which is assumed to coincide here with the global :math:`(Oxy)`
@@ -46,13 +49,13 @@ frame, the orthotropic constitutive law writes :math:`\boldsymbol{\varepsilon}=\
 .. math::
   \begin{Bmatrix} \varepsilon_{xx} \\ \varepsilon_{yy} \\ 2\varepsilon_{xy}
   \end{Bmatrix} = \begin{bmatrix} 1/E_x & -\nu_{xy}/E_x & 0\\
-  -\nu_{yx}/E_y & 1/E_y & 0 \\ 0 & 0 & 1/G_{xy} \end{bmatrix}\begin{Bmatrix} 
+  -\nu_{yx}/E_y & 1/E_y & 0 \\ 0 & 0 & 1/G_{xy} \end{bmatrix}\begin{Bmatrix}
   \sigma_{xx} \\ \sigma_{yy} \\ \sigma_{xy}
   \end{Bmatrix}
 
 with :math:`E_x, E_y` the two Young's moduli in the orthotropy directions, :math:`\nu_{xy}`
 the in-plane Poisson ration (with the following relation ensuring the constitutive
-relation symmetry :math:`\nu_{yx}=\nu_{xy}E_y/E_x`) and :math:`G_{xy}` being the 
+relation symmetry :math:`\nu_{yx}=\nu_{xy}E_y/E_x`) and :math:`G_{xy}` being the
 shear modulus. This relation needs to be inverted to obtain the stress components as a function
 of the strain components :math:`\boldsymbol{\sigma}=\mathbf{C}\boldsymbol{\varepsilon}` with
 :math:`\mathbf{C}=\mathbf{S}^{-1}`::
@@ -89,7 +92,7 @@ second-order tensor or using the Voigt engineering notation::
 Problem position and resolution
 --------------------------------
 
-Different parts of the quarter plate boundaries are now defined as well as the 
+Different parts of the quarter plate boundaries are now defined as well as the
 exterior integration measure ``ds``::
 
  class Top(SubDomain):
@@ -101,7 +104,7 @@ exterior integration measure ``ds``::
  class Bottom(SubDomain):
      def inside(self, x, on_boundary):
          return near(x[1],0) and on_boundary
- 
+
  # exterior facets MeshFunction
  facets = MeshFunction("size_t", mesh, 1)
  facets.set_all(0)
@@ -122,12 +125,12 @@ on the top boundary::
  u_ = TestFunction(V)
  u = Function(V, name='Displacement')
  a = inner(sigma(du), eps(u_))*dx
- 
+
  # uniform traction on top boundary
  T = Constant((0, 1e-3))
  l = dot(T, u_)*ds(1)
 
-Symmetric boundary conditions are applied on the ``Top`` and ``Left`` boundaries 
+Symmetric boundary conditions are applied on the ``Top`` and ``Left`` boundaries
 and the problem is solved::
 
  # symmetry boundary conditions
@@ -135,12 +138,12 @@ and the problem is solved::
        DirichletBC(V.sub(1), Constant(0.), facets, 3)]
 
  solve(a == l, u, bc)
- 
+
  import matplotlib.pyplot as plt
  p = plot(sigma(u)[1,1]/T[1], mode='color')
  plt.colorbar(p)
  plt.title(r"$\sigma_{yy}$",fontsize=26)
- 
+
 The :math:`\sigma_{xx}` and :math:`\sigma_{yy}` components should look like
 that:
 
diff --git a/examples/elastodynamics/demo_elastodynamics.py.rst b/examples/elastodynamics/demo_elastodynamics.py.rst
index dd28d7b..297f67d 100644
--- a/examples/elastodynamics/demo_elastodynamics.py.rst
+++ b/examples/elastodynamics/demo_elastodynamics.py.rst
@@ -3,6 +3,10 @@
 
 .. _demo_elastodynamics:
 
+.. raw:: html
+
+ <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
+
 ============================================
 Time-integration of elastodynamics equation
 ============================================
@@ -24,7 +28,7 @@ The deformed structure evolution over time along with the axial stress will look
    :align: center
 
 
------------------------------------------ 
+-----------------------------------------
 Introduction and elastodynamics equation
 -----------------------------------------
 
@@ -33,22 +37,22 @@ The elastodynamics equation combine the balance of linear momentum:
 .. math::
    \nabla \cdot \sigma + \rho b = \rho \ddot{u}
 
-where :math:`u` is the displacement vector field, :math:`\ddot{u}=\partial^2 u/\partial t^2` is the acceleration, 
-:math:`\rho` the material density, :math:`b` a given body force and :math:`\sigma` the stress tensor which is related 
+where :math:`u` is the displacement vector field, :math:`\ddot{u}=\partial^2 u/\partial t^2` is the acceleration,
+:math:`\rho` the material density, :math:`b` a given body force and :math:`\sigma` the stress tensor which is related
 to the displacement through a constitutive equation. In the case of isotropic linearized elasticity, one has:
 
 .. math::
    \sigma =\lambda \text{tr}(\varepsilon)\mathbb{1} + 2\mu\varepsilon
 
-where :math:`\varepsilon = (\nabla u + (\nabla u)^T)/2` is the linearized strain tensor, :math:`\mathbb{1}` is the 
-identity of second-rank tensors and :math:`\lambda=\dfrac{E\nu}{(1+\nu)(1-2\nu)},\mu=\dfrac{E}{2(1+\nu)}` are the 
+where :math:`\varepsilon = (\nabla u + (\nabla u)^T)/2` is the linearized strain tensor, :math:`\mathbb{1}` is the
+identity of second-rank tensors and :math:`\lambda=\dfrac{E\nu}{(1+\nu)(1-2\nu)},\mu=\dfrac{E}{2(1+\nu)}` are the
 Lame coefficients given as functions of the Young modulus :math:`E` and the Poisson ratio :math:`\nu`.
 
 The weak form is readily obtained by integrating by part the balance equation using a test function :math:`v\in V`
 with :math:`V` being a suitable function space that satisfies the displacement boundary conditions:
 
 .. math::
-   \int_{\Omega} \rho \ddot{u}\cdot v \, {\rm d} x + \int_{\Omega} \sigma(u):\varepsilon(v) \, {\rm d} x = 
+   \int_{\Omega} \rho \ddot{u}\cdot v \, {\rm d} x + \int_{\Omega} \sigma(u):\varepsilon(v) \, {\rm d} x =
    \int_{\Omega} \rho b \cdot v  \, {\rm d} x + \int_{\partial\Omega} (\sigma\cdot n) \cdot v \, {\rm d} s \quad \text{for all } v\in V
 
 The previous equation can be written as follows:
@@ -67,7 +71,7 @@ which is a generalized :math:`n`-dof harmonic oscillator equation.
 
 Quite often in structural dynamics, structures do not oscillate perfectly but lose energy through various dissipative mechanisms (friction with air or supports,
 internal dissipation through plasticity, damage, etc.). Dissipative terms can be introduced at the level of the constitutive equation if these mechanisms are well
-known but quite often it is not the case. Dissipation can then be modeled by adding an *ad hoc* damping term depending on the structure velocity :math:`\dot{u}` 
+known but quite often it is not the case. Dissipation can then be modeled by adding an *ad hoc* damping term depending on the structure velocity :math:`\dot{u}`
 to the previous evolution equation:
 
 .. math::
@@ -80,17 +84,17 @@ Rayleigh damping
 ~~~~~~~~~~~~~~~~~
 
 When little is known about the origin of damping in the structure, a popular choice for the damping matrix, known as *Rayleigh damping*, consists in using
-a linear combination of the mass and stiffness matrix :math:`[C] = \eta_M[M]+\eta_K[K]` with two positive parameters :math:`\eta_M,\eta_K` which 
+a linear combination of the mass and stiffness matrix :math:`[C] = \eta_M[M]+\eta_K[K]` with two positive parameters :math:`\eta_M,\eta_K` which
 can be fitted against experimental measures for instance (usually by measuring the damping ratio of two natural modes of vibration).
 
 ---------------------------------------------------------------
 Time discretization using the generalized-:math:`\alpha` method
 ---------------------------------------------------------------
 
-We now introduce a time discretization of the interval study :math:`[0;T]` in :math:`N+1` time increments :math:`t_0=0,t_1,\ldots,t_N,t_{N+1}=T` 
+We now introduce a time discretization of the interval study :math:`[0;T]` in :math:`N+1` time increments :math:`t_0=0,t_1,\ldots,t_N,t_{N+1}=T`
 with :math:`\Delta t=T/N` denoting the time step (supposed constant). The resolution will make use of the generalized-:math:`\alpha` method
-which can be seen as an extension of the widely used Newmark-:math:`\beta` method in structural dynamics. As an implicit method, it is unconditionally 
-stable for a proper choice of coefficients so that quite large time steps can be used. It also allows for high frequency dissipation and offers a 
+which can be seen as an extension of the widely used Newmark-:math:`\beta` method in structural dynamics. As an implicit method, it is unconditionally
+stable for a proper choice of coefficients so that quite large time steps can be used. It also allows for high frequency dissipation and offers a
 second-order accuracy, i.e. in :math:`O(\Delta t^2)`.
 
 The method consists in solving the dynamic evolution equation at intermediate time between :math:`t_n` and :math:`t_{n+1}` as follows:
@@ -99,7 +103,7 @@ The method consists in solving the dynamic evolution equation at intermediate ti
    [M]\{\ddot{u}_{n+1-\alpha_m}\} + [C]\{\dot{u}_{n+1-\alpha_f}\}+[K]\{u_{n+1-\alpha_f}\} = \{F(t_{n+1-\alpha_f})\}
 
 with the notation :math:`X_{n+1-\alpha} = (1-\alpha)X_{n+1}+\alpha X_{n}`. In addition, the following approximation for the displacement and velocity
-at :math:`t_{n+1}` are used: 
+at :math:`t_{n+1}` are used:
 
 .. math::
    \begin{align*}
@@ -130,7 +134,7 @@ where:
  * :math:`m_1 = \dfrac{(1-\alpha_m)}{\beta\Delta t^2}`
  * :math:`m_2 = \dfrac{(1-\alpha_m)}{\beta\Delta t}`
  * :math:`m_3 = 1-\dfrac{1-\alpha_m}{2\beta}`
- 
+
 Once the linear system has been solved for :math:`\{u_{n+1}\}`, the new velocity and acceleration are computed using the previous formulae.
 
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
@@ -276,12 +280,12 @@ as the damping form obtained as a linear combination of the mass and stiffness f
  def Wext(u_):
      return dot(u_, p)*dss(3)
 
-Functions for implementing the time stepping scheme are also defined. ``update_a`` returns :math:`\{\ddot{u}_{n+1}\}` 
-as a function of the variables at the previous increment and of the new displacement :math:`\{u_{n+1}\}`. The function accepts a keyword ``ufl`` so that the expressions involved can be used with UFL representations if ``True`` or with array of values if ``False`` (we will make use of both possibilities later). 
+Functions for implementing the time stepping scheme are also defined. ``update_a`` returns :math:`\{\ddot{u}_{n+1}\}`
+as a function of the variables at the previous increment and of the new displacement :math:`\{u_{n+1}\}`. The function accepts a keyword ``ufl`` so that the expressions involved can be used with UFL representations if ``True`` or with array of values if ``False`` (we will make use of both possibilities later).
 In particular, the time step ``dt`` and time-stepping scheme parameters are either ``Constant`` or floats depending on the case.
-Function ``update_v`` does the same but for the new velocity :math:`\{\dot{u}_{n+1}\}` as a function of the previous variables 
-and of the new acceleration. Finally, function ``update_fields`` performs the final update at the end of the time step when the new 
-displacement :math:`\{u_{n+1}\}` has effectively been computed. In this context, the new acceleration and velocities are computed 
+Function ``update_v`` does the same but for the new velocity :math:`\{\dot{u}_{n+1}\}` as a function of the previous variables
+and of the new acceleration. Finally, function ``update_fields`` performs the final update at the end of the time step when the new
+displacement :math:`\{u_{n+1}\}` has effectively been computed. In this context, the new acceleration and velocities are computed
 using the vector representation of the different fields. The variables keeping track of the values at the previous increment are now assigned the new values computed for the current increment::
 
  # Update formula for acceleration
@@ -307,16 +311,16 @@ using the vector representation of the different fields. The variables keeping t
      return v_old + dt_*((1-gamma_)*a_old + gamma_*a)
 
  def update_fields(u, u_old, v_old, a_old):
-     """Update fields at the end of each time step.""" 
+     """Update fields at the end of each time step."""
 
      # Get vectors (references)
      u_vec, u0_vec  = u.vector(), u_old.vector()
-     v0_vec, a0_vec = v_old.vector(), a_old.vector() 
- 
+     v0_vec, a0_vec = v_old.vector(), a_old.vector()
+
      # use update functions using vector arguments
      a_vec = update_a(u_vec, u0_vec, v0_vec, a0_vec, ufl=False)
      v_vec = update_v(a_vec, u0_vec, v0_vec, a0_vec, ufl=False)
- 
+
      # Update (u_old <- u)
      v_old.vector()[:], a_old.vector()[:] = v_vec, a_vec
      u_old.vector()[:] = u.vector()
@@ -324,7 +328,7 @@ using the vector representation of the different fields. The variables keeping t
 The system variational form is now built by expressing the new acceleration :math:`\{\ddot{u}_{n+1}\}` as a function of
 the TrialFunction ``du`` using ``update_a``, which here works as a UFL expression. Using this new acceleration, the same is
 done for the new velocity using ``update_v``. Intermediate averages using parameters :math:`\alpha_m,\alpha_f` of the generalized- :math:`\alpha`
-method are obtained with a user-defined fuction ``avg``. The weak form evolution equation is then written using all these 
+method are obtained with a user-defined fuction ``avg``. The weak form evolution equation is then written using all these
 quantities. Since the problem is linear, we then extract the bilinear and linear parts using ``rhs`` and ``lhs``::
 
  def avg(x_old, x_new, alpha):
@@ -338,11 +342,11 @@ quantities. Since the problem is linear, we then extract the bilinear and linear
  a_form = lhs(res)
  L_form = rhs(res)
 
-Alternatively, the use of ``derivative`` can be made for non-linear problems for instance or one can also directly 
+Alternatively, the use of ``derivative`` can be made for non-linear problems for instance or one can also directly
 formulate the system to solve, involving the modified stiffness matrix :math:`[\bar{K}]` and the various coefficients introduced earlier.
 
 Since the system matrix to solve is the same for each time step (constant time step), it is not necessary to factorize the system at each increment.
-It can be done once and for all and only perform assembly of the varying right-hand side and backsubstitution to obtain the solution 
+It can be done once and for all and only perform assembly of the varying right-hand side and backsubstitution to obtain the solution
 much more efficiently. This is done by defining a ``LUSolver`` object and asking for reusing the matrix factorization::
 
  # Define solver for reusing factorization
@@ -352,7 +356,7 @@ much more efficiently. This is done by defining a ``LUSolver`` object and asking
  K, res = assemble_system(a_form, L_form, bc)
 
 We now initiate the time stepping loop. We will keep track of the beam vertical tip displacement over time as well as the different
-parts of the system total energy. We will also compute the stress field and save it, along with the displacement field, in a ``XDMFFile``.  
+parts of the system total energy. We will also compute the stress field and save it, along with the displacement field, in a ``XDMFFile``.
 The option `flush_ouput` enables to open the result file before the loop is finished, the ``function_share_mesh`` option tells that only one
 mesh is used for all functions of a given time step (displacement and stress) while the ``rewrite_function_mesh`` enforces that the same mesh
 is used for all time steps. These two options enables writing the mesh information only once instead of :math:`2N_{steps}` times::
@@ -390,7 +394,7 @@ performed: stresses are computed and written to the result file and the tip disp
          return
 
  for (i, dt) in enumerate(np.diff(time)):
- 
+
      t = time[i+1]
      print("Time: ", t)
 
@@ -424,7 +428,7 @@ performed: stresses are computed and written to the result file and the tip disp
      energies[i+1, :] = np.array([E_elas, E_kin, E_damp, E_tot])
 
 Note that in the above, the stresses are computed using a ``LocalSolver`` through the ``local_project`` function. Since the stress function space
-is a DG-0 space, the projection on this space can be performed element-wise in a very efficient manner. We therefore take advantage of the ``LocalSolver`` 
+is a DG-0 space, the projection on this space can be performed element-wise in a very efficient manner. We therefore take advantage of the ``LocalSolver``
 functionality which is precisely dedicated to such situations. Since this projection is performed at each time step, the savings in terms of computing
 time can be quite important.
 
diff --git a/examples/modal_analysis_dynamics/cantilever_modal.py.rst b/examples/modal_analysis_dynamics/cantilever_modal.py.rst
index d52f9e8..c3d082b 100644
--- a/examples/modal_analysis_dynamics/cantilever_modal.py.rst
+++ b/examples/modal_analysis_dynamics/cantilever_modal.py.rst
@@ -1,3 +1,6 @@
+.. raw:: html
+
+ <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
 
 .. _ModalAnalysis:
 
diff --git a/examples/reissner_mindlin/reissner_mindlin_dg.py.rst b/examples/reissner_mindlin/reissner_mindlin_dg.py.rst
index 6e4ab39..fa70b4f 100644
--- a/examples/reissner_mindlin/reissner_mindlin_dg.py.rst
+++ b/examples/reissner_mindlin/reissner_mindlin_dg.py.rst
@@ -1,3 +1,6 @@
+.. raw:: html
+
+ <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
 
 .. _ReissnerMindlinDG:
 
diff --git a/examples/reissner_mindlin/reissner_mindlin_quads.py.rst b/examples/reissner_mindlin/reissner_mindlin_quads.py.rst
index cb192fd..3fd1a0f 100644
--- a/examples/reissner_mindlin/reissner_mindlin_quads.py.rst
+++ b/examples/reissner_mindlin/reissner_mindlin_quads.py.rst
@@ -1,3 +1,6 @@
+.. raw:: html
+
+ <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><p align="center"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png"/></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike 4.0 International License</a></p>
 
 .. _ReissnerMindlinQuads:
 
-- 
GitLab