Thermodynamics of viscoelastic solids, its Eulerian formulation, and existence of weak solutions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F24%3A00600183" target="_blank" >RIV/61388998:_____/24:00600183 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/24:10490387
Result on the web
<a href="https://link.springer.com/article/10.1007/s00033-023-02175-7" target="_blank" >https://link.springer.com/article/10.1007/s00033-023-02175-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00033-023-02175-7" target="_blank" >10.1007/s00033-023-02175-7</a>
Alternative languages
Result language
angličtina
Original language name
Thermodynamics of viscoelastic solids, its Eulerian formulation, and existence of weak solutions
Original language description
The thermodynamic model of viscoelastic deformable solids at finitestrains is formulated in a fully Eulerian way in rates. Also, effects of thermal expansion or buoyancy due to evolving mass density in a gravity field are covered. The Kelvin–Voigt rheology with a higher-order viscosity (exploiting the concept of multipolar materials) is used, allowing for physically relevant frame-indifferent stored energies and for local invertibility of deformation. The model complies with energy conservation and Clausius–Duhem entropy inequality. Existence and a certain regularity of weak solutions are proved by a Faedo-Galerkin semi-discretization and a suitable regularization. Subtle physical limitations of the model are illustrated on thermally expanding neo-Hookean materials or materials with phase transitions.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
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
1420-9039
Volume of the periodical
75
Issue of the periodical within the volume
2
Country of publishing house
DE - GERMANY
Number of pages
35
Pages from-to
51
UT code for WoS article
001172036200004
EID of the result in the Scopus database
2-s2.0-85186140772