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 second edition takes advantage of several comments received by colleagues and
students. With respect to the first edition (published by SIAM in 2006) several new sections …

Rate-independent systems occur as limit problems in many physical and mechanical
problems if the interesting time scales are much longer than the intrinsic time scales in the …

In this paper, we prove a new existence result for a variational model of crack growth in
brittle materials proposed in [19]. We consider the case of n-dimensional nonlinear elasticity …

This paper deals with a general approach to the modeling of rate–independent processes
which may display hysteretic behavior. Such processes play an important role in many …

The problem of quasistatic evolution in small strain associative elastoplasticity is studied in
the framework of the variational theory for rate-independent processes. Existence of …

Introduction In mechanics, rate-independent evolutionary problems have always played an
important role, eg, in Coulomb friction or in perfect plasticity. The intrinsic nonsmoothness …

This work uses the energetic formulation of rate-independent systems that is based on the
stored-energy functionals E and the dissipation distance D. For sequences (E _k) _ k ∈ N …

In this paper, a review of papers on mathematical homogenization of dissipative composites
under small strains and on the interplay between homogenization procedure and dissipation …

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 …