Nonlinear problems in solid mechanics

Contents:

• Linear viscoelasticity
  • Constitutive evolution equations
  • Problem position
  • Time discretization and formulation of the variational problem
  • Solutions of elementary tests
  • Relaxation and creep tests for a Maxwell model
  • Relaxation and creep tests for a Kelvin-Voigt model
• Hertzian contact with a rigid indenter using a penalty approach
  • Contact problem formulation and penalty approach
  • Implementation
  • References
• Elasto-plastic analysis of a 2D von Mises material
  • Introduction
  • Problem position
  • Constitutive relation update
  • Global problem and Newton-Raphson procedure
  • Post-processing
  • References
• Elasto-plastic analysis implemented using the MFront code generator
  • Introduction
  • Prerequisites
  • Problem position
  • Material constitutive law definition using MFront
  • Global problem and Newton-Raphson procedure
  • Results and future works
  • References
• Cohesive zone modelling of debonding and bulk fracture
  • Traction-separation law
  • Nonlinear resolution
  • FEniCS implementation
  • References