Plastically deformed crystals are often observed to develop intricate dislocation patterns
such as the labyrinth, mosaic, fence and carpet structures. In this paper, such dislocation …

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

The study of spatial patterns in extended systems, and their evolution with time, poses
challenging questions for physicists and mathematicians alike. Waves on water, pulses in …

Continuum Models for Phase Transitions and Twinning in Crystals presents the
fundamentals of a remarkably successful approach to crystal thermomechanics. Developed …

The deformation of rocks is a disequilibrium and strongly non-linear phenomenon with a
number of interacting chemical, thermal and microstructural processes operating …

The present work introduces fractional calculus into the continuum mechanics area
describing non-local constitutive relations. Considering a one-dimensional body and …

Nanocrystalline NiTi shape memory alloys show fundamental changes in phase transition
behavior when the grain size is reduced down to nano-scale (grain size< 30 nm). However …

In this paper, a multiscale continuum model is proposed to study the effect of grain size on
the macroscopic dissipative response of shape memory alloy polycrystals during isothermal …

We investigate the roles of grain size (lg) and grain boundary thickness (lb) on the stress-
induced phase transition (PT) behaviors of nanocrystalline shape memory alloys (SMAs) by …

Our starting point is a parameterized family of functionals (a 'theory') for which we are
interested in approximating the global minima of the energy when one of these parameters …