Abstract
A continuum theory for a fully saturated poroelastic material is presented. This continuum description first introduces distributed fluid and solid bodies in an average sense and defines a set of appropriate kinematical and dynamical variables. The conservation laws are then considered for each phase along with appropriate entropy inequalities. These inequalities are then exploited along with the conservation laws and a method of Langrangian multipliers to derive a set of constitutive equations for the medium under consideration. The derived governing equations of motions of solid and fluid phases then indicate that the present formulation contains Biot's theory of poroelastic media as well us Brinkman's theory for flow through porous media as special cases. Finally, a problem on wave propagation in such media is also investigated.
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