VARIATIONAL FORMULATION OF POROELASTICITY WITH PHYSICALLY BASED MATERIAL COEFFICIENTS

Abstract eng:
The mechanics of fluid infiltrated porous bodies is investigated using variational principles. The energy statement is constructed using macroscopic state parameters obtained from microscopic averaging. As a first step, we restrict the investigation to static, reversible processes without external field. Using a quadratic energy form, which implies linear behavior of phase materials, the deformation of porous medium is shown to be nonlinear due to geometric nonlinearity in porosity deformation. The theory can be fully linearized, which is then found to be consistent with the well-known Biot model.

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