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 …

The paper presents a constitutive framework for solids with dissipative micro-structures
based on compact variational statements. It develops incremental minimization and saddle …

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 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 …

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 …

In this paper we analyze a broad class of abstract doubly nonlinear evolution equations in
Banach spaces, driven by nonsmooth and nonconvex energies. We provide some general …

Based on recent research by the author and his graduate students, this text describes novel
variational formulations and resolutions of a large class of partial differential equations and …

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 …

This study analyzes the lethal clinical condition of aortic dissections from a numerical point
of view. On the basis of previous contributions by Gültekin et al.(Comput Methods Appl Mech …

Balanced Viscosity solutions to rate-independent systems arise as limits of regularized rate-
independent flows by adding a superlinear vanishing-viscosity dissipation. We address the …