Body forces equivalent to jumps of stresses and displacements in the Biot model of an anisotropic porous medium

DOI10.1007/BF02172805zbMath0945.74017OpenAlexW2008281603MaRDI QIDQ1963330

A. V. Bakulin

Publication date: 26 January 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02172805

zbMATH Keywords

reciprocity relationsbody forcessurfaces of discontinuityBetti's identityanisotropic Biot modelanisotropic fluid-saturated mediumisotropic Biot modeljumps of displacementsjumps of stressesrepresentation integrals

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Inhomogeneity in solid mechanics (74E05) Flows in porous media; filtration; seepage (76S05)

Cites Work

• The effective model of a stratified solid-fluid medium as a special case of Biot model
• Sources of the center of dilation and the center of compression types in the Biot model
• Mechanics of Deformation and Acoustic Propagation in Porous Media