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 …

Needle-like microstructures are often observed in shape memory alloys near macro-
interfaces that separate regions with different laminate orientation. We study their shape with …

General phase-field theory for multivariant martensitic phase transformations and explicit
models are formulated at large strains. Each order parameter is unambiguously related to …

Computational homogenization with a priori assumed scale separation is considered,
whereby the macroscale stress is obtained via averaging on Representative Volume …

A framework for variationally consistent homogenization, combined with a generalized
macro‐homogeneity condition, is exploited for the analysis of non‐linear transient heat …

Iron shows a pressure-induced martensitic phase transformation from the ground state
ferromagnetic bcc phase to a nonmagnetic hcp phase at≈ 13 GP a. The exact …

This contribution surveys menagerie of models for twinning-like microstructure and its
evolution in crystallic alloys exhibiting shape-memory effects. Various levels of description of …

We formulate a model describing rate-independent hysteretic response of shape-memory
alloys under slow external forcing. Under natural assumptions we prove that this model has …

This paper deals with the analysis of homogenization assumptions within phase field
theories in a finite strain setting. Such homogenization assumptions define the average bulk׳ …‎

For a wide class of problems in continuum mechanics like those involving phase transitions
or finite elastoplasticity, the governing potentials tend to be not quasiconvex. This leads to …