Special Session 75: 

Analytical and numerical approach to a class of damage models

Marita Thomas
Weierstrass Institute Berlin
Germany
Co-Author(s):    
Abstract:
This presentation deals with techniques for the spatial and temporal discretization of models for rate-independent damage featuring a gradient regularization. Different methods in dependence of the choice of the gradient term and related convergence results are discussed. The ideas are also demonstrated for a phase-field fracture model at finite strains, which takes into account the anisotropy of damage by applying an anisotropic split and the modified invariants of the right Cauchy-Green strain tensor. Numerical examples in two and three space dimensions are presented.