Welcome to Numerical tours of Computational Mechanics using FEniCS

Contents:

• Introduction
  • What is it about ?
  • Citing and license
  • How do I get started ?
  • About the author
• Linear problems in solid mechanics
  • 2D linear elasticity
  • Orthotropic linear elasticity
  • Axisymmetric formulation for elastic structures of revolution
  • Linear thermoelasticity (weak coupling)
  • Thermo-elastic evolution problem (full coupling)
  • Modal analysis of an elastic structure
  • Time-integration of elastodynamics equation
  • Axial, bending and shear stiffnesses of generic beam cross-sections
• Homogenization of heterogeneous materials
  • Periodic homogenization of linear elastic materials
• Eigenvalue problems in solid mechanics
  • Modal analysis of an elastic structure
  • Linear Buckling Analysis of a 3D solid
• Nonlinear problems in solid mechanics
  • Linear viscoelasticity
  • Hertzian contact with a rigid indenter using a penalty approach
  • Elasto-plastic analysis of a 2D von Mises material
  • Elasto-plastic analysis implemented using the MFront code generator
  • Cohesive zone modelling of debonding and bulk fracture
• Documented demos coupling FEniCS with MFront
  • Stationnary non-linear heat transfer
  • Stationnary non-linear heat transfer: 3D problem and performance comparisons
  • Transient heat equation with phase change
  • Monolithic transient thermo-elasticity
  • Small-strain von Mises elastoplasticity
  • Finite-strain elastoplasticity within the logarithmic strain framework
  • Multiphase model for fiber-reinforced materials
  • Phase-field approach to brittle fracture
• Beams
  • Eulerian buckling of a beam
  • Elastic 3D beam structures
  • Nonlinear beam model in finite rotations
• Plates
  • Reissner-Mindlin plate with Quadrilaterals
  • Reissner-Mindlin plate with a Discontinuous-Galerkin approach
  • Locking-free Reissner-Mindlin plate with Crouzeix-Raviart interpolation
• Shells
  • Linear shell model
  • Generating a shell model for a shallow arch I-beam with the Gmsh Python API
• Topology optimization of structures
  • Topology optimization using the SIMP method
• Tips and Tricks
  • Lumping a mass matrix
  • Computing consistent reaction forces
  • Efficient projection on DG or Quadrature spaces
• Useful packages
  • FEniCS add-ons