The thermodynamic structure and constitutive equations for fluid-saturated compressible and incompressible elastic porous solids

The macroscopic porous media theory consists of the mixture theory\ restricted by the volume fraction concept[ The incorporation of this concept leads to major di.culties in constructing a consistent macroscopic theory[ With the help of thermodynamic restrictions\ in addition with the multiplicative decomposition of the deformation gradient as well as experimental observations it will be shown\ as to how a consistent phenomenological porous media theory for compressible and incompressible elastic porous solid models _lled with an incompressible ~uid can be developed which is mathematically and physically well balanced[ 0887 Elsevier Science Ltd[ All rights reserved[