Added elastodynamics demo

doc/_build/html/_sources/linear_problems.rst.txt

@@ -17,6 +17,7 @@ Contents:
    demo/thermoelasticity/thermoelasticity.ipynb
    demo/thermoelasticity/thermoelasticity_transient.ipynb
    demo/modal_analysis_dynamics/cantilever_modal.py.rst
+   demo/elastodynamics/demo_elastodynamics.py.rst
 
 
 

doc/_build/html/demo/2D_plasticity/vonMises_plasticity.py.html

@@ -421,6 +421,7 @@ when considering a zero hardening modulus.</p>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity.html">Linear thermoelasticity (weak coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity_transient.html">Thermo-elastic evolution problem (full coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../modal_analysis_dynamics/cantilever_modal.py.html">Modal analysis of an elastic structure</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../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>

doc/_build/html/demo/elasticity/2D_elasticity.py.html

@@ -231,6 +231,7 @@ writing/reading. Prefered output format is now .xdmf:</p>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity.html">Linear thermoelasticity (weak coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity_transient.html">Thermo-elastic evolution problem (full coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../modal_analysis_dynamics/cantilever_modal.py.html">Modal analysis of an elastic structure</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../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>

doc/_build/html/demo/elasticity/axisymmetric_elasticity.html

@@ -2816,6 +2816,7 @@ if (IPython.notebook.kernel != null) {
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity.html">Linear thermoelasticity (weak coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity_transient.html">Thermo-elastic evolution problem (full coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../modal_analysis_dynamics/cantilever_modal.py.html">Modal analysis of an elastic structure</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../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>

doc/_build/html/demo/elasticity/orthotropic_elasticity.py.html

@@ -209,6 +209,7 @@ that:</p>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity.html">Linear thermoelasticity (weak coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity_transient.html">Thermo-elastic evolution problem (full coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../modal_analysis_dynamics/cantilever_modal.py.html">Modal analysis of an elastic structure</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../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>

doc/_build/html/demo/modal_analysis_dynamics/cantilever_modal.py.html

@@ -24,7 +24,7 @@
     <script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script>
     <link rel="index" title="Index" href="../../genindex.html" />
     <link rel="search" title="Search" href="../../search.html" />
-    <link rel="next" title="Homogenization of heterogeneous materials" href="../../homogenization.html" />
+    <link rel="next" title="Time-integration of elastodynamics equation" href="../elastodynamics/demo_elastodynamics.py.html" />
     <link rel="prev" title="Thermo-elastic evolution problem (full coupling)" href="../thermoelasticity/thermoelasticity_transient.html" /> 
   </head>
   <body>
@@ -35,7 +35,7 @@
         <div class="rel" role="navigation" aria-label="related navigation">
           <a href="../thermoelasticity/thermoelasticity_transient.html" title="Thermo-elastic evolution problem (full coupling)"
              accesskey="P">previous</a> |
-          <a href="../../homogenization.html" title="Homogenization of heterogeneous materials"
+          <a href="../elastodynamics/demo_elastodynamics.py.html" title="Time-integration of elastodynamics equation"
              accesskey="N">next</a> |
           <a href="../../genindex.html" title="General Index"
              accesskey="I">index</a>
@@ -272,6 +272,7 @@ and the beam theory eigenfrequencies :</p>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity.html">Linear thermoelasticity (weak coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity_transient.html">Thermo-elastic evolution problem (full coupling)</a></li>
 <li class="toctree-l2 current"><a class="current reference internal" href="#">Modal analysis of an elastic structure</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../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>
@@ -315,7 +316,7 @@ and the beam theory eigenfrequencies :</p>
           <div role="navigation" aria-label="related navigaton">
             <a href="../thermoelasticity/thermoelasticity_transient.html" title="Thermo-elastic evolution problem (full coupling)"
               >previous</a> |
-            <a href="../../homogenization.html" title="Homogenization of heterogeneous materials"
+            <a href="../elastodynamics/demo_elastodynamics.py.html" title="Time-integration of elastodynamics equation"
               >next</a> |
             <a href="../../genindex.html" title="General Index"
               >index</a>

doc/_build/html/demo/periodic_homog_elas/periodic_homog_elas.html

@@ -2152,6 +2152,7 @@ if (IPython.notebook.kernel != null) {
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity.html">Linear thermoelasticity (weak coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity_transient.html">Thermo-elastic evolution problem (full coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../modal_analysis_dynamics/cantilever_modal.py.html">Modal analysis of an elastic structure</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../elastodynamics/demo_elastodynamics.py.html">Time-integration of elastodynamics equation</a></li>
 </ul>
 </li>
 <li class="toctree-l1 current"><a class="reference internal" href="../../homogenization.html">Homogenization of heterogeneous materials</a><ul class="current">

doc/_build/html/demo/reissner_mindlin/reissner_mindlin.html

@@ -77,6 +77,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity.html">Linear thermoelasticity (weak coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity_transient.html">Thermo-elastic evolution problem (full coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../modal_analysis_dynamics/cantilever_modal.py.html">Modal analysis of an elastic structure</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../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>

doc/_build/html/demo/reissner_mindlin/reissner_mindlin_dg.py.html

@@ -206,6 +206,7 @@ so that no term arise in the linear functional):</p>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity.html">Linear thermoelasticity (weak coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity_transient.html">Thermo-elastic evolution problem (full coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../modal_analysis_dynamics/cantilever_modal.py.html">Modal analysis of an elastic structure</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../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>

doc/_build/html/demo/reissner_mindlin/reissner_mindlin_quads.py.html

@@ -199,6 +199,7 @@ the thin plate solution.</p>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity.html">Linear thermoelasticity (weak coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../thermoelasticity/thermoelasticity_transient.html">Thermo-elastic evolution problem (full coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../modal_analysis_dynamics/cantilever_modal.py.html">Modal analysis of an elastic structure</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../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>

doc/_build/html/demo/thermoelasticity/thermoelasticity.html

@@ -4338,6 +4338,7 @@ if (IPython.notebook.kernel != null) {
 <li class="toctree-l2 current"><a class="current reference internal" href="#">Linear thermoelasticity (weak coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="thermoelasticity_transient.html">Thermo-elastic evolution problem (full coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../modal_analysis_dynamics/cantilever_modal.py.html">Modal analysis of an elastic structure</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../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>

doc/_build/html/demo/thermoelasticity/thermoelasticity_transient.html

@@ -2902,6 +2902,7 @@ Mechanics and Engineering, 85(3), 349-365.
 <li class="toctree-l2"><a class="reference internal" href="thermoelasticity.html">Linear thermoelasticity (weak coupling)</a></li>
 <li class="toctree-l2 current"><a class="current reference internal" href="#">Thermo-elastic evolution problem (full coupling)</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../modal_analysis_dynamics/cantilever_modal.py.html">Modal analysis of an elastic structure</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../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>

doc/_build/html/genindex.html

@@ -74,6 +74,7 @@
 <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>

doc/_build/html/homogenization.html

@@ -25,7 +25,7 @@
     <link rel="index" title="Index" href="genindex.html" />
     <link rel="search" title="Search" href="search.html" />
     <link rel="next" title="Periodic homogenization of linear elastic materials" href="demo/periodic_homog_elas/periodic_homog_elas.html" />
-    <link rel="prev" title="Modal analysis of an elastic structure" href="demo/modal_analysis_dynamics/cantilever_modal.py.html" /> 
+    <link rel="prev" title="Time-integration of elastodynamics equation" href="demo/elastodynamics/demo_elastodynamics.py.html" /> 
   </head>
   <body>
     <div class="header-wrapper" role="banner">
@@ -33,7 +33,7 @@
         <div class="headertitle"><a
           href="index.html">Numerical tours of continuum mechanics using FEniCS</a></div>
         <div class="rel" role="navigation" aria-label="related navigation">
-          <a href="demo/modal_analysis_dynamics/cantilever_modal.py.html" title="Modal analysis of an elastic structure"
+          <a href="demo/elastodynamics/demo_elastodynamics.py.html" title="Time-integration of elastodynamics equation"
              accesskey="P">previous</a> |
           <a href="demo/periodic_homog_elas/periodic_homog_elas.html" title="Periodic homogenization of linear elastic materials"
              accesskey="N">next</a> |
@@ -82,6 +82,7 @@
 <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 current"><a class="current reference internal" href="#">Homogenization of heterogeneous materials</a><ul>
@@ -123,7 +124,7 @@
       <div class="footer">
         <div class="left">
           <div role="navigation" aria-label="related navigaton">
-            <a href="demo/modal_analysis_dynamics/cantilever_modal.py.html" title="Modal analysis of an elastic structure"
+            <a href="demo/elastodynamics/demo_elastodynamics.py.html" title="Time-integration of elastodynamics equation"
               >previous</a> |
             <a href="demo/periodic_homog_elas/periodic_homog_elas.html" title="Periodic homogenization of linear elastic materials"
               >next</a> |

doc/_build/html/index.html

@@ -66,6 +66,7 @@
 <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>
@@ -112,6 +113,7 @@
 <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>

doc/_build/html/linear_problems.html

@@ -62,6 +62,7 @@
 <li class="toctree-l1"><a class="reference internal" href="demo/thermoelasticity/thermoelasticity.html">Linear thermoelasticity (weak coupling)</a></li>
 <li class="toctree-l1"><a class="reference internal" href="demo/thermoelasticity/thermoelasticity_transient.html">Thermo-elastic evolution problem (full coupling)</a></li>
 <li class="toctree-l1"><a class="reference internal" href="demo/modal_analysis_dynamics/cantilever_modal.py.html">Modal analysis of an elastic structure</a></li>
+<li class="toctree-l1"><a class="reference internal" href="demo/elastodynamics/demo_elastodynamics.py.html">Time-integration of elastodynamics equation</a></li>
 </ul>
 </div>
 </div>
@@ -87,6 +88,7 @@
 <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>

doc/_build/html/nonlinear_problems.html

@@ -83,6 +83,7 @@
 <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>

doc/_build/html/search.html

@@ -97,6 +97,7 @@
 <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>

doc/linear_problems.rst

@@ -17,6 +17,7 @@ Contents:
    demo/thermoelasticity/thermoelasticity.ipynb
    demo/thermoelasticity/thermoelasticity_transient.ipynb
    demo/modal_analysis_dynamics/cantilever_modal.py.rst
+   demo/elastodynamics/demo_elastodynamics.py.rst