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Welcome

Introduction

Linear elasticity
Hyperelasticity
Reissner-Mindlin plates

Tours

Linear problems
Multiphysics
- Linear thermoelasticity (weak coupling)
- Thermo-elastic evolution problem (full coupling)
Dynamics problems
- Transient elastodynamics with Newmark time integration
Nonlinear problems
Eigenvalue problems
- Linear buckling analysis of a 3D solid
- Bloch-wave analysis of a phononic crystal plate
Homogenization
- Periodic homogenization of linear elasticity
- Finite-strain periodic homogenization of a soft open-cell foam
Interfaces
- Cohesive zone modeling of debonding and bulk fracture
- Cohesive zone modeling restricted to an interface
Beams
Plates
- Shear locking in thick plate models with quadrilateral elements
Shells
- Linear shell model
- Generating a shell model with the Gmsh Python API
Optimization
- Form finding of a gridshell with the force density method
- Topology optimization with Helmholtz filtering and projection

Tips and tricks

Marking facets with geometrical functions
Importing a .msh file
Create a piecewise constant field for spatially varying properties
Lumping a mass matrix
Quadrature schemes
Computing consistent reaction forces

Repository
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Nonlinear problems

Nonlinear problems#

Elasto-plastic analysis of a 2D von Mises material
Linear viscoelasticity with JAX
Bound-constrained problems: localized damage and obstacle problem

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Transient elastodynamics with Newmark time integration

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Elasto-plastic analysis of a 2D von Mises material

By Jeremy Bleyer