The constitutive equations of finite strain poroelasticity in the light of a micro-macro approach

DOI10.1016/S0997-7538(98)90501-0zbMath0936.74025OpenAlexW2000123530MaRDI QIDQ1291897

Luc Dormieux, Patrick de Buhan, Xavier Chateau

Publication date: 18 May 2000

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0997-7538(98)90501-0

zbMATH Keywords

constitutive equationsboundary value problemfluid-saturated porous mediumfree energy densityeffective stress formulationfinite strain poroelasticityincompressible solid matrixmacroscopic approachmacroscopic deformation gradientmacroscopic potentialmacroscopic-Boussinesq stress tensormicroscopic approach

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Micromechanics of solids (74M25) Theory of constitutive functions in solid mechanics (74A20) Elastic materials (74B99)

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Cites Work

• On the overall moduli of non-linear elastic composite materials
• Variational Lagrangian-thermodynamics of nonisothermal finite strain mechanics of porous solids and thermomolecular diffusion
• Convexity conditions and existence theorems in nonlinear elasticity
• A Reformation of the Equations of Anisotropic Poroelasticity
• On constitutive macro-variables for heterogeneous solids at finite strain
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