Investigation of deformation of fluid-saturated media in terms of arbitrary Lagrangian-Eulerian formulation of motion. I. Kinematics and resolving equations
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 4, pp. 106-114

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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.
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     author = {D. V. Berezhnoi and A. I. Golovanov and S. A. Malkin and L. U. Sultanov},
     title = {Investigation of deformation of fluid-saturated media in terms of arbitrary {Lagrangian-Eulerian} formulation of~motion. {I.~Kinematics} and resolving equations},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     url = {http://geodesic.mathdoc.fr/item/UZKU_2010_152_4_a9/}
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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. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 4, pp. 106-114. http://geodesic.mathdoc.fr/item/UZKU_2010_152_4_a9/