Micro-to-meso scale limit for shape-memory-alloy models with thermal coupling
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10125718" target="_blank" >RIV/00216208:11320/12:10125718 - isvavai.cz</a>
Alternative codes found
RIV/61388998:_____/12:00380757
Result on the web
<a href="http://epubs.siam.org/doi/abs/10.1137/110852176" target="_blank" >http://epubs.siam.org/doi/abs/10.1137/110852176</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/110852176" target="_blank" >10.1137/110852176</a>
Alternative languages
Result language
angličtina
Original language name
Micro-to-meso scale limit for shape-memory-alloy models with thermal coupling
Original language description
Modeling of shape-memory alloys represents a multiscale problem due to occurrence of martensite/austenite phase transformation and a microstructure in the deformation gradient typical for martensitic phase. Inspired by relaxation in static situation, a limit passage between two modeling scales, called micro- and meso-scales, is performed for the corresponding evo- lution variants with considering activated phase transformation and even thermodynamically consistent thermal coupling. The mesoscopic modelcaptures possible fine spatial oscillations of the deformation gradient by means of gradient Young measures. In particular, the mesoscopic model is justified as a limit from the microscopic scale and existence of its solutions is proved.
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
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Multiscale Modeling and Simulation
ISSN
1540-3459
e-ISSN
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Volume of the periodical
10
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
31
Pages from-to
1059-1089
UT code for WoS article
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EID of the result in the Scopus database
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