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Homogenization of a periodic elastic structure saturated with a Maxwell fluid Full article

Journal Journal of Applied and Industrial Mathematics
ISSN: 1990-4789
Output data Year: 2022, Volume: 16, Number: 3, Pages: 572-588 Pages count : 17 DOI: 10.1134/S1990478922030206
Tags elastic porous medium; homogenization; Maxwell fluid; two-scale convergence
Authors Starovoitov V.N. 1 , Starovoitova B.N. 1
Affiliations
1 Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences

Funding (1)

1 Министерство науки и высшего образования Российской Федерации FWGG-2021-0002

Abstract: In this paper, we investigate the dynamics of an elastic porous medium saturated with a Maxwell fluid. The Maxwell fluid belongs to the class of viscoelastic fluids whose strain rate tensor is proportional to the sum of the stress tensor and its time derivative. The porous medium is governed by the linear elasticity equations. A homogenized model of the structure is derived by employing the two-scale convergence technique. The model describes a new material which possesses two kinds of memory. The first memory is inherited from the Maxwell fluid, and the second one is standard for the homogenization of nonstationary problems.
Cite: Starovoitov V.N. , Starovoitova B.N.
Homogenization of a periodic elastic structure saturated with a Maxwell fluid
Journal of Applied and Industrial Mathematics. 2022. V.16. N3. P.572-588. DOI: 10.1134/S1990478922030206 Scopus РИНЦ OpenAlex
Original: Старовойтов В.Н. , Старовойтова Б.Н.
Усредненная математическая модель периодической упругой структуры, насыщенной жидкостью Максвелла
Сибирский журнал индустриальной математики. 2022. Т.25. №3. С.170-188. DOI: 10.33048/SIBJIM.2022.25.314 РИНЦ
Dates:
Submitted: Apr 12, 2022
Published print: May 31, 2022
Accepted: Jun 22, 2022
Identifiers:
Scopus: 2-s2.0-85144176571
Elibrary: 58780237
OpenAlex: W4313008930
Citing: Пока нет цитирований
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