TY - JOUR
T1 - A model of shape memory alloys taking into account plasticity
AU - Kruizik, Martin
AU - Zimmer, J
PY - 2011/2
Y1 - 2011/2
N2 - We propose a phenomenological model for the evolutionary behaviour of shape memory alloys, where the possibility of plastic deformation is taken in to account. Two dissipative mechanisms are considered, namely the dissipation associated with solid-solid (martensitic) phase transformations and plastic dissipation. The plastic contribution may lead to an irreversibility of the evolution. The existence of a so-called energetic solution is established for a suitable relaxation of the problem in the spaceof Young measures. 2010 The Author. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
AB - We propose a phenomenological model for the evolutionary behaviour of shape memory alloys, where the possibility of plastic deformation is taken in to account. Two dissipative mechanisms are considered, namely the dissipation associated with solid-solid (martensitic) phase transformations and plastic dissipation. The plastic contribution may lead to an irreversibility of the evolution. The existence of a so-called energetic solution is established for a suitable relaxation of the problem in the spaceof Young measures. 2010 The Author. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
UR - http://www.scopus.com/inward/record.url?scp=79551531114&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1093/imamat/hxq058
U2 - 10.1093/imamat/hxq058
DO - 10.1093/imamat/hxq058
M3 - Article
SN - 0272-4960
VL - 76
SP - 193
EP - 216
JO - IMA Journal of Applied Mathematics
JF - IMA Journal of Applied Mathematics
IS - 1
ER -