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
Axisymmetric shells
Love-Kirchhoff plates with DG
Reissner-Mindlin plates
- quads
- DG