We analyze a rate-independent model for damage evolution in elastic bodies. The central
quantities are a stored energy functional and a dissipation functional, which is assumed to …

This paper is devoted to a numerical implementation of the Francfort–Marigo model of
damage evolution in brittle materials. This quasi-static model is based, at each time step, on …

In these notes we want to give an overview of the recently developed theory for rate-
independent systems. Such systems are used to model hysteresis, dry friction …

In this paper we discuss a damage model that is based on microstructure evolution. In the
context of evolutionary Γ-convergence we derive a corresponding effective macroscopic …

We show that continuum models for ideal plasticity can be obtained as a rigorous
mathematical limit starting from a discrete microscopic model describing a visco-elastic …

An existence result for energetic solutions of rate-independent damage processes is
established. We consider a body consisting of a physically linearly elastic material …

This paper focuses on (incomplete) rate-independent damage in elastic bodies. Since the
driving energy is nonconvex, solutions may have jumps as a function of time, and in this …

We present a model for rate-independent, unidirectional, partial damage in visco-elastic
materials with inertia and thermal effects. The damage process is modeled by means of an …

This work is concerned with an asymptotic analysis, in the sense of Γ‐convergence, of a
sequence of variational models of brittle damage in the context of linearized elasticity. The …

In this paper we study a model for phase separation and damage in thermoviscoelastic
materials. The main novelty of the paper consists in the fact that, in contrast with previous …