Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10103551" target="_blank" >RIV/00216208:11320/11:10103551 - isvavai.cz</a>
Alternative codes found
RIV/61388998:_____/11:00359233
Result on the web
<a href="http://dx.doi.org/10.1051/m2an/2010063" target="_blank" >http://dx.doi.org/10.1051/m2an/2010063</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/m2an/2010063" target="_blank" >10.1051/m2an/2010063</a>
Alternative languages
Result language
angličtina
Original language name
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion
Original language description
We consider a viscoelastic solid in Kelvin-Voigt rheology exhibiting also plasticity with hardening and coupled with heat-transfer through dissipative heat production by viscoplastic effects and through thermal expansion and corresponding adiabatic effects. Numerical discretization of the thermodynamically consistent model is proposed by implicit time discretization, suitable regularization, and finite elements in space. Fine a-priori estimates are derived, and convergence is proved by careful successive limit passage. Computational 3D simulations illustrate an implementation of the method as well as physical effects of residual stresses substantially depending on rate of heat treatment.
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>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Modelling and Numerical Analysis
ISSN
0764-583X
e-ISSN
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Volume of the periodical
45
Issue of the periodical within the volume
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Country of publishing house
FR - FRANCE
Number of pages
28
Pages from-to
477-504
UT code for WoS article
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EID of the result in the Scopus database
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