The Constitutive Theory for Fluid-Filled Porous Materials

Abstract

The static constitutive theory for fluid-filled porous materials, well established by Biot, is reinvestigated by modifying the recent developments of the micromechanical approach by Carroll. Introducing a new kinematical quantity that allows an equal treatment of fluid and solid, we show that the constitutive theory by Carroll is identical to that developed by Biot. This comparison provides a further insight into Biot’s theory by clarifying the distinct deformation mechanisms that Biot did not express explicitly. Applying the same methods to the dynamic case, we investigate the fluid flow mechanism of a porous fluid material.