Our work on rate-independent systems was stimulated by our search for evolutionary
material models for shape-memory alloys that are flexible enough to encompass nonlinear …

We consider time-discrete evolutions for a phase-field model (for fracture and damage)
obtained by alternate minimization schemes. First, we characterize their time-continuous …

It is well known that rate-independent systems involving nonconvex energy functionals in
general do not allow for time-continuous solutions even if the given data are smooth. In the …

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 …

In this paper, we analyze a system for brittle delamination between two visco-elastic bodies,
also subject to inertia, which can be interpreted as a model for dynamic fracture. The rate …

The system of two inclusions∂ u E (t, u (t), z (t))∋ 0 and∂ R (z ̇)+∂ z E (t, u (t), z (t))∋ 0
with the dissipation potential R degree-1 homogeneous and with the stored energy E (t,⋅,⋅) …

We consider generalized gradient systems in Banach spaces whose evolutions are
generated by the interplay between an energy functional and a dissipation potential. We …

We address the analysis of an abstract system coupling a rate-independent process with a
rate-dependent nonlinear evolution equation. We propose suitable weak solution concepts …

In this paper we introduce and investigate a model for adhesive contact with friction between
a thermoviscoelastic body and a rigid support. A PDE system, consisting of the evolution …

We study a model for the rate-independent evolution of cohesive zone delamination in a
visco-elastic solid, also exposed to dynamics effects. The main feature of this model …