List of topics
Introduction
Workflow : geometry with Gmsh, dolfin-convert, export Paraview
Linear problems
Elastostatics :
standard continuous galerkin
-
2D plane stress/strain -
orthotropic -
axisymmetric
Mixed methods
Approach of https://doi.org/10.1016/j.cma.2020.113381
discontinous galerkin : volumetric locking
mixed formulation using Hu-Washizu : volumetric locking
Problems with initial stresses : thermoelasticity
Elastodynamics
-
modal analysis -
time integration Newmark scheme, theta (lumped mass matrix, efficient solving)
Poroelasticity
Mixing continuum and interfaces
-
elastic interfaces/supports (beam on elastic foundation)
Linear Fracture Mechanics
-
G-theta method to compute J-integral and stress intensity factors
Homogenization in elasticity
(treatment of rigid particles with Lagrange multipliers)
Linear Buckling
Cosserat
Strain gradient
Nonlinear problems
Hyperelasticity :
-
compressible neo-hookean -
incompressible neo-hookean
Viscoelasticity
-
Maxwell model -
Kelvin-Voigt model
Elasto-plasticity
-
radial return for von Mises 2D -
3D with locking -
limit analysis
Viscoplasticity
-
yield stress fluids
Nonlinear problems with MFront
-
elastoplastic plates with plane stress behaviour and/or additional dof -
implementation of Marc François concrete plasticity criterion
Contact
-
resolution of normal contact with TAO -
contact with AL and penalization: membrane with rigid indenter -
impact dynamics of rigid indenter -
contact with multimesh between deformable bodies (Nitsche's method)
Damage
-
phase field approach -
damage with viscous regularization
Von-Karman plates
Beams and Plates
Membrane
Shells
Robust flat-facet triangular shell finite element https://doi.org/10.1002/nme.6944
Love-Kirchhoff plates with DG
Reissner-Mindlin plates
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quads -
DG