On constitutive modelling of linear poroviscoelastic solids

In this paper we develop a three-dimensional constitutive model to describe the linear viscoelastic behavior of fluid-saturated porous solids. The proposed model is based on a representation of the solid free energy by equilibrium and non-equilibrium parts. Constitutive equations corresponding to a compressible solid matrix/phase and an incompressible solid matrix/phase are derived separately. For illustration, the theory is then applied to the...