A thermomechanical theory for porous tissues with diffusion of fluid and micromechanical modeling of porosity

•A thermomechanical model of porous biological tissues is proposed.•The tissue is modeled as a composite made of a compressible, porous solid saturated with a compressible fluid.•The kinematics of the porous tissue is described by a single velocity field and the diffusion of fluid through the tissue is modeled by Darcy-type flow.•An Eulerian formulation of the constitutive equations is used.