Thermo-elastodynamics of finitely-strained multipolar viscous solids with an energy-controlled stress

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/00216208:11320/25:10509223

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Thermo-elastodynamics of finitely-strained multipolar viscous solids with an energy-controlled stress

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Thermo-elastodynamics of finitely-strained multipolar viscous solids with an energy-controlled stress

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA23-06220S" target="_blank" >GA23-06220S: Flexoelektrické periodické struktury pro transport tekutin a sběr energie</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

SIAM Journal on Mathematical Analysis

ISSN

0036-1410

e-ISSN

1095-7154

Svazek periodika

57

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

32

Strana od-do

2255-2286

Kód UT WoS článku

001493898200004

EID výsledku v databázi Scopus

2-s2.0-105005576633