A rate-independent model for the isothermal quasi-static evolution of shape-memory materials
Analysis of PDEs
2007-09-03 v1
Abstract
This note addresses a three-dimensional model for isothermal stress-induced transformation in shape-memory polycrystalline materials. We treat the problem within the framework of the energetic formulation of rate-independent processes and investigate existence and continuous dependence issues at both the constitutive relation and quasi-static evolution level. Moreover, we focus on time and space approximation as well as on regularization and parameter asymptotics.
Cite
@article{arxiv.0708.4378,
title = {A rate-independent model for the isothermal quasi-static evolution of shape-memory materials},
author = {Ferdinando Auricchio and Alexander Mielke and Ulisse Stefanelli},
journal= {arXiv preprint arXiv:0708.4378},
year = {2007}
}
Comments
33 pages, 3 figures