Thermo-elastodynamics of finitely-strained multipolar viscous solids with an energy-controlled stress
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F25%3A00644399" target="_blank" >RIV/61388998:_____/25:00644399 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/25:10509223
Result on the web
<a href="https://epubs.siam.org/doi/10.1137/24M1655822" target="_blank" >https://epubs.siam.org/doi/10.1137/24M1655822</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/24M1655822" target="_blank" >10.1137/24M1655822</a>
Alternative languages
Result language
angličtina
Original language name
Thermo-elastodynamics of finitely-strained multipolar viscous solids with an energy-controlled stress
Original language description
The thermodynamical model of viscoelastic deformable solids at finite strains with Kelvin-Voigt rheology with a higher-order viscosity (using the concept of multipolar materials) is formulated in a fully Eulerian way in rates. Assumptions used in this paper allow for a physically justified free energy leading to non-negative entropy that satisfies the 3rd law of thermodynamics, i.e. entropy vanishes at zero temperature, and energy-controlled stress. This last attribute is used advantageously to prove the existence and a certain regularity of weak solutions by a simplified Faedo-Galerkin semi-discretization, based on estimates obtained from the total-energy and the mechanical-energy balances. Some examples that model neo-Hookean-type materials are presented, too.
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
<a href="/en/project/GA23-06220S" target="_blank" >GA23-06220S: Flexoelectric periodic structures for fluid transport and energy harvesting</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM Journal on Mathematical Analysis
ISSN
0036-1410
e-ISSN
1095-7154
Volume of the periodical
57
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
32
Pages from-to
2255-2286
UT code for WoS article
001493898200004
EID of the result in the Scopus database
2-s2.0-105005576633