Abstract
The macroscopic porous media theory consists of the mixture theory, restricted by the volume fraction concept. The incorporation of this concept leads to major difficulties 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 filled with an incompressible fluid can be developed which is mathematically and physically well balanced.
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