Numerical tours of continuum mechanics using FEniCS
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Linear problems in solid mechanics
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Contents:
2D linear elasticity
Orthotropic linear elasticity
Axisymmetric formulation for elastic structures of revolution
Linear thermoelasticity (weak coupling)
Thermoelastic evolution problem (full coupling)
Modal analysis of an elastic structure
Timeintegration of elastodynamics equation
Table Of 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)
Thermoelastic evolution problem (full coupling)
Modal analysis of an elastic structure
Timeintegration of elastodynamics equation
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
Elastoplastic analysis of a 2D von Mises material
Elastoplastic analysis implemented using the
MFront
code generator
Documented demos coupling FEniCS with MFront
Stationnary nonlinear heat transfer
Stationnary nonlinear heat transfer: 3D problem and performance comparisons
Transient heat equation with phase change
Monolithic transient thermoelasticity
Smallstrain von Mises elastoplasticity
Finitestrain elastoplasticity within the logarithmic strain framework
Multiphase model for fiberreinforced materials
Phasefield approach to brittle fracture
Beams
Eulerian buckling of a beam
Elastic 3D beam structures
Plates
ReissnerMindlin plate with Quadrilaterals
ReissnerMindlin plate with a DiscontinuousGalerkin approach
Lockingfree ReissnerMindlin plate with CrouzeixRaviart interpolation
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 addons
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