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. Berezhnoi^a, A. I. Golovanov^a, S. A. Malkin^a, L. U. Sultanov<sup>b

a</sup> Kazan (Volga Region) Federal University
^b N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan (Volga region) Federal University

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.

UDC: 539.3

Received: 23.12.2009