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ON THE EQUIVALENCE OF THE LINEAR BIOT’S THEORY AND THE LINEAR THEORY OF POROUS MEDIA (2003)

Assuming a geometrically linear description (small displacements and small deformation gradients) and linear constitutive equations (Hooke’s law) the governing equations are derived for two poroelastic theories, Biot’s theory (BT) and the Theory of Porous Media (TPM – mixture theory extended by the concept of volume fractions). In both cases, the solid displacements and the pore pressure are the primary unknowns.

Reference:
16th ASCE Engineering Mechanics Conference, July 16-18, 2003, University of Washington, Seattle
Organization:
Technical University Braunschweig, Institute of Applied Mechanics, P.O. Box 3329, D-38023 Braunschweig
Germany
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