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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2010, Volume 152, Book 4, Pages 106–114 (Mi uzku889)  
The 2nd International Conference "The Problems of Nonlinear Mechanics of Deformable Solids"

Investigation of deformation of fluid-saturated media in terms of arbitrary Lagrangian-Eulerian formulation of motion. I. Kinematics and resolving equations

D. V. Berezhnoia, A. I. Golovanova, S. A. Malkina, L. U. Sultanovb

a Kazan (Volga Region) Federal University
b N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan (Volga region) Federal University
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Abstract: The present article starts a series of papers devoted to the development of a numerical algorithm for researching nonisothermal deformation of fluid-saturated porous media. The first part discusses the principal regulations of two-phase media kinematics taking into account the arbitrary Lagrangian-Eulerian formulation of motion and gives the basic set of resolving and determinative equations.
Keywords: arbitrary Lagrangian-Eulerian formulation, nonisothermic deformation, fluid-saturated porous media, viscoplasticity.
Received: 23.12.2009
Document Type: Article
UDC: 539.3
Language: Russian
Citation: D. V. Berezhnoi, A. I. Golovanov, S. A. Malkin, L. U. Sultanov, “Investigation of deformation of fluid-saturated media in terms of arbitrary Lagrangian-Eulerian formulation of motion. I. Kinematics and resolving equations”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 152, no. 4, Kazan University, Kazan, 2010, 106–114
Citation in format AMSBIB
\Bibitem{BerGolMal10}
\by D.~V.~Berezhnoi, A.~I.~Golovanov, S.~A.~Malkin, L.~U.~Sultanov
\paper Investigation of deformation of fluid-saturated media in terms of arbitrary Lagrangian-Eulerian formulation of~motion. I.~Kinematics and resolving equations
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2010
\vol 152
\issue 4
\pages 106--114
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku889}
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