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 …

This chapter reviews mathematical approaches to inelastic processes on the surfaces of
elastic bodies. We mostly consider a quasistatic and rateindependent evolution at small …

We study fracture and debonding of a thin stiff film bonded to a rigid substrate through a thin
compliant layer, introducing a two-dimensional variational fracture model in brittle elasticity …

The problem of a crack in a thin adhesive layer is considered. The adherents may have
orthotropic elastic behavior which allows composite laminates to be modeled. In the present …

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 …

We provide a rigorous justification of the classical linearization approach in plasticity. By
taking the small-deformations limit, we prove via-convergence for rate-independent …

An adhesive unilateral contact of elastic bodies with a small viscosity in the linear Kelvin--
Voigt rheology at small strains is scrutinized. The flow rule for debonding the adhesive is …

A quasi-static rate-independent model of delamination of linearly elastic bodies at small
strains, sensitive to mode of delamination, using interfacial damage and interfacial plasticity …

Brittle Griffith-type delamination of compounds is deduced by means of Γ-convergence from
partial, isotropic damage of three-specimen-sandwich-structures by flattening the middle …

We address a model for adhesive unilateral frictionless Signorini-type contact between
bodies of heat-conductive viscoelastic material, in the linear Kelvin–Voigt rheology …