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 …

In the nonconvex case, solutions of rate-independent systems may develop jumps as a
function of time. To model such jumps, we adopt the philosophy that rate-independence …

This paper discusses an existence result for energetic solutions of rate‐independent
damage processes and the temporal regularity of the solution. The authors consider a body …

Abstract Knowledge about grain boundary migration is a prerequisite for understanding and
ultimately modulating the properties of polycrystalline materials. Evidence from experiments …

So-called generalized standard solids (of the Halphen–Nguyen type) involving also
activated rate-independent processes such as plasticity, damage, or phase transformations …

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 …

A model for the evolution of damage that allows for complete disintegration is addressed.
Small strains and a linear response function are assumed. The “flow rule” for the damage …

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 …