Computational Plasticity

Overview

This course offers an introduction into the concepts of plasticity and their implementation and application as non-linear constitutive models in the finite element analysis.

Learning outcomes

• Basics of continuum mechanics and finite element methods
• Phenomenology and atomistic origin of elastic and plastic deformation
• Concepts of continuum plasticity, including yield criteria, flow rules, and isotropic and kinematic hardening
• Rate-dependent and rate-independent formulations of continuum plasticity
• Numerical solution schemes for elasto-plasticity, including operator split methods, return mapping, and consistent tangent moduli
• Computational aspects of small- and large-strain formulations
• Concepts of crystal plasticity, including dislocation slip, flow rules, hardening models, and consistent tangent moduli
• Plasticity of polycrystals, including Sachs, Taylor, and self-consistent models
• Numerical solution schemes for crystal plasticity
• Structure, implementation, and application of an Abaqus UMAT