Interaction of Finitely-Strained Viscoelastic Multipolar Solids and Fluids by an Eulerian Approach

0579062 - ÚT 2024 RIV DE eng J - Článek v odborném periodiku
Roubíček, Tomáš
Interaction of Finitely-Strained Viscoelastic Multipolar Solids and Fluids by an Eulerian Approach.
Journal of Mathematical Fluid Mechanics. Roč. 25, č. 4 (2023), č. článku 81. ISSN 1422-6928. E-ISSN 1422-6952
Grant CEP: GA MŠMT(CZ) EF15_003/0000493
Institucionální podpora: RVO:61388998
Klíčová slova: fluid–structure interaction * monolithic description * large strains * return mapping * multipolar continua * weak solutions
Obor OECD: Applied mathematics
Impakt faktor: 1.3, rok: 2022
Způsob publikování: Open access
https://link.springer.com/article/10.1007/s00021-023-00817-4

A mechanical interaction of compressible viscoelastic fluids with viscoelastic solids in Kelvin–Voigt rheology using the concept of higher-order (so-called 2nd-grade multipolar) viscosity is investigated in a quasistatic variant. The no-slip contact between fluid and solid is considered and the Eulerian-frame return-mapping technique is used for both the fluid and the solid models, which allows for a “monolithic” formulation of this fluid–structure interaction problem. Existence and a certain regularity of weak solutions is proved by a Schauder fixed-point argument combined with a suitable regularization.
Trvalý link: https://hdl.handle.net/11104/0351480