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 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 this paper, we analyze a PDE system arising in the modeling of phase transition and
damage phenomena in thermoviscoelastic materials. The resulting evolution equations in …

This paper addresses the analysis of a time noise‐driven Allen–Cahn equation modelling
the evolution of damage in continuum media in the presence of stochastic dynamics. The …

A typical phase field approach for describing phase separation and coarsening phenomena
in alloys is the Cahn-Hilliard model. This model has been generalized to the so-called Cahn …

This paper deals with a phase transitions model describing the evolution of damage in
thermoviscoelastic materials. The resulting system is highly non-linear, mainly due to the …

This paper addresses a doubly nonlinear parabolic inclusion of the form $ A (u_t)+ B (u)\ni f
$. Existence of a solution is proved under suitable monotonicity, coercivity, and structure …

This paper focuses on (incomplete) rate-independent damage in elastic bodies. Since the
driving energy is nonconvex, solutions may have jumps as a function of time, and in this …

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 …

The aim of this paper is to study the quasistatic limit of a one-dimensional model of dynamic
debonding. We start from a dynamic problem that strongly couples the wave equation in a …