Microstructure is a feature of crystals with multiple symmetry-related energy-minimizing
states. Continuum models have been developed explaining microstructure as the mixture of …

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 relaxation method has enjoyed an intensive development during many decades and
this new edition of this comprehensive text reflects in particular the main achievements in the …

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 …

A continuum-mechanical description of the stored energy in shape-memory alloys is
presented, with its multi-well character giving rise to a microstructure described, with a …

We present a practical algorithm for partially relaxing multiwell energy densities such as
pertain to materials undergoing martensitic phase transitions. The algorithm is based on …

Minimization is a recurring theme in many mathematical disciplines ranging from pure to
applied. Of particular importance is the minimization of integral functionals, which is studied …

We study material models for rate-independent inelasticity in situations where no internal
length scale is given and formation of microstructure for the deformation gradients and the …

Analysis, modeling and simulation of multiscale problems Page 2 Mielke (Ed.) Analysis, Modeling
and Simulation of Multiscale Problems Page 3 Alexander Mielke Editor Analysis, Modeling and …