On deformational and configurational poro-mechanics: Dissipative versus non-dissipative modelling of two-phase solid/fluid mixtures

This manuscript aims at a particular (simple) geometrically nonlinear formulation of poromechanics which is inspired by the format of thermo-mechanics. Thereby the motivation is two-fold: the formulation allows, on the one hand, to design a non-dissipative version of poro-elasticity as opposed to the classical dissipative Darcy-type version and, on the other hand, to derive and analyse the configurational setting of poro-mechanics in an easy and transparent fashion. Thus, this contribution intends to alleviate studies of defects and fracture in two-phase solid/fluid mixtures based on the concepts of configurational mechanics