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

Result code in 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>
Alternative codes found
RIV/00216208:11320/23:10474097
Result on the web
<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>

Result language
angličtina
Original language name
Viscoelastodynamics of swelling porous solids at large strains by an Eulerian approach
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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