A Continuum Theory of Fluid Saturated Porous Media

[+] Author and Article Information
A. Bedford

Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, Texas

J. D. Ingram

Department of Mechanical and Aerospace Engineering and Material Science, Rice University, Houston, Texas

J. Appl. Mech 38(1), 1-7 (Mar 01, 1971) (7 pages) doi:10.1115/1.3408744 History: Received May 12, 1969; Revised February 04, 1970; Online July 12, 2010


A continuum theory, for a heat-conducting, porous elastic solid saturated by a mixture of heat-conducting, viscous compressible fluids, is developed using the continuum theory of mixtures. Gradients of the fluid densities and the second deformation gradient of the solid constituent are included among the independent constitutive variables as proposed by Müller [17]. The Clausius-Duhem entropy inequality and the principle of material indifference are used to obtain rational constitutive relations for the medium. Linear constitutive equations are presented, and a theory equivalent to a generalization of the Biot equations is obtained.

Copyright © 1971 by ASME
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