Viscoelastodynamics of swelling porous solids at large strains by an Eulerian approach

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F23%3A00579748" target="_blank" >RIV/61388998:_____/23:00579748 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/23:10474097

Výsledek na webu

<a href="https://epubs.siam.org/doi/10.1137/22M1474229" target="_blank" >https://epubs.siam.org/doi/10.1137/22M1474229</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1137/22M1474229" target="_blank" >10.1137/22M1474229</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Viscoelastodynamics of swelling porous solids at large strains by an Eulerian approach

Popis výsledku v původním jazyce

A model of saturated hyperelastic porous solids at large strains is formulated and analyzed. The material response is assumed to be of a viscoelastic Kelvin--Voigt type, and inertial effects are considered, too. The flow of the diffusant is driven by the gradient of the chemical potential and is coupled to the mechanics via the occurrence of swelling and squeezing. Buoyancy effects due to the evolving mass density in a gravity field are covered. Higher-order viscosity is also included, allowing for physically relevant stored energies and local invertibility of the deformation. The whole system is formulated in a fully Eulerian form in terms of rates. The energetics of the model is discussed, and the existence and regularity of weak solutions is proved by a combined regularization-Galerkin approximation argument.

Název v anglickém jazyce

Viscoelastodynamics of swelling porous solids at large strains by an Eulerian approach

Popis výsledku anglicky

A model of saturated hyperelastic porous solids at large strains is formulated and analyzed. The material response is assumed to be of a viscoelastic Kelvin--Voigt type, and inertial effects are considered, too. The flow of the diffusant is driven by the gradient of the chemical potential and is coupled to the mechanics via the occurrence of swelling and squeezing. Buoyancy effects due to the evolving mass density in a gravity field are covered. Higher-order viscosity is also included, allowing for physically relevant stored energies and local invertibility of the deformation. The whole system is formulated in a fully Eulerian form in terms of rates. The energetics of the model is discussed, and the existence and regularity of weak solutions is proved by a combined regularization-Galerkin approximation argument.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

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

55

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

27

Strana od-do

2677-2703

Kód UT WoS článku

001038500500007

EID výsledku v databázi Scopus

2-s2.0-85168239411