A thermodynamically consistent model of shape memory alloys in three dimensions is studied. The thermoelastic system, based on the strain tensor, its gradient and the absolute temperature, is a generalization of the well-known one-dimensional Falk model. The key assumptions concerning the form of constitutive relations are discussed. The detailed and selfcontained proof of the global-in-time existence and uniqueness of solutions is presented.
@book{bwmeta1.element.bwnjournal-rm-doi-10_4064-dm406-0-1,
author = {Irena Paw\l ow and Antoni \.Zochowski},
title = {Existence and uniqueness of solutions for a three-dimensional thermoelastic system},
series = {GDML\_Books},
year = {2002},
zbl = {1010.35106},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-rm-doi-10_4064-dm406-0-1}
}
Irena Pawłow; Antoni Żochowski. Existence and uniqueness of solutions for a three-dimensional thermoelastic system. GDML_Books (2002), http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-rm-doi-10_4064-dm406-0-1/