bibtype J - Journal Article
ARLID 0382313
utime 20240103201413.0
mtime 20130920235959.9
WOS 000316766700009
DOI 10.1007/s00033-012-0223-y
title (primary) (eng) A macroscopic model for magnetic shape-memory single crystals
specification
page_count 17 s.
serial
ARLID cav_un_epca*0255379
ISSN 0044-2275
title Zeitschrift für angewandte Mathematik und Physik
volume_id 64
volume 2 (2013)
page_num 343-359
publisher
name Springer
keyword magnetostriction
keyword evolution
author (primary)
ARLID cav_un_auth*0284725
name1 Bessoud
name2 A. L.
country IT
author
ARLID cav_un_auth*0101142
name1 Kružík
name2 Martin
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department 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*0080082
name1 Stefanelli
name2 U.
country IT
source
url http://library.utia.cas.cz/separaty/2012/MTR/kruzik-a macroscopic model for magnetic shape-memory single crystals.pdf
cas_special
project
project_id IAA100750802
agency GA AV ČR
ARLID cav_un_auth*0241214
project
project_id GAP201/10/0357
agency GA ČR
ARLID cav_un_auth*0263489
abstract (eng) A rate-independent model for the quasi-static magneto-elastic evolution of a magnetic shape-memory single crystal is presented. In particular, the purely mechanical Souza–Auricchio model for shape-memory alloys is here combined with classical micro-magnetism by suitably associating magnetization and inelastic strain. By balancing the effect of conservative and dissipative actions, a nonlinear evolution PDE system of rate-independent type is obtained. We prove the existence of so-called energetic solutions to this system. Moreover, we discuss several limits for the model corresponding to parameter asymptotics by means of a rigorous Γ-convergence argument.
reportyear 2014
RIV BA
num_of_auth 3
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0212569
mrcbT16-e MATHEMATICSAPPLIED
mrcbT16-f 1.153
mrcbT16-g 0.260
mrcbT16-h >10.0
mrcbT16-i 0.00410
mrcbT16-j 0.732
mrcbT16-k 1718
mrcbT16-l 100
mrcbT16-s 1.062
mrcbT16-z ScienceCitationIndex
mrcbT16-4 Q1
mrcbT16-B 65.707
mrcbT16-C 77.888
mrcbT16-D Q2
mrcbT16-E Q2
arlyear 2013
mrcbU34 000316766700009 WOS
mrcbU63 cav_un_epca*0255379 Zeitschrift für angewandte Mathematik und Physik 0044-2275 1420-9039 Roč. 64 č. 2 2013 343 359 Springer