bibtype J - Journal Article
ARLID 0358966
utime 20240103195117.7
mtime 20110510235959.9
WOS 000286674200011
DOI 10.1093/imamat/hxq058
title (primary) (eng) A model of shape memory alloys taking into account plasticity
specification
page_count 24 s.
serial
ARLID cav_un_epca*0256731
ISSN 0272-4960
title IMA Journal of Applied Mathematics
volume_id 76
volume 1 (2011)
page_num 193-216
keyword elasto-plasticity
keyword energetic solution
keyword plastic strain gradients
author (primary)
ARLID cav_un_auth*0101142
name1 Kružík
name2 Martin
full_dept (cz) Matematická teorie rozhodování
full_dept (eng) Department of Decision Making Theory
department (cz) MTR
department (eng) MTR
institution UTIA-B
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0243187
name1 Zimmer
name2 J.
country GB
cas_special
project
project_id IAA100750802
agency GA AV ČR
country CZ
ARLID cav_un_auth*0241214
research CEZ:AV0Z10750506
abstract (eng) 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 space of Young measures.
reportyear 2012
RIV BA
permalink http://hdl.handle.net/11104/0196858
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arlyear 2011
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mrcbU63 cav_un_epca*0256731 IMA Journal of Applied Mathematics 0272-4960 1464-3634 Roč. 76 č. 1 2011 193 216