A macroscopic model for magnetic shape-memory single crystals
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F13%3A00204140" target="_blank" >RIV/68407700:21110/13:00204140 - isvavai.cz</a>
Alternative codes found
RIV/67985556:_____/13:00382313
Result on the web
<a href="http://dx.doi.org/10.1007/s00033-012-0223-y" target="_blank" >http://dx.doi.org/10.1007/s00033-012-0223-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00033-012-0223-y" target="_blank" >10.1007/s00033-012-0223-y</a>
Alternative languages
Result language
angličtina
Original language name
A macroscopic model for magnetic shape-memory single crystals
Original language description
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 gamma-convergence argument.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Zeitschrift für angewandte Mathematik und Physik
ISSN
0044-2275
e-ISSN
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Volume of the periodical
64
Issue of the periodical within the volume
April
Country of publishing house
CH - SWITZERLAND
Number of pages
17
Pages from-to
343-359
UT code for WoS article
000316766700009
EID of the result in the Scopus database
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