Mixed-dimensional poromechanical models of fractured porous media

Abstract We combine classical continuum mechanics with the recently developed calculus for mixed-dimensional problems to obtain governing equations flow in, and deformation of, fractured materials. present models in both context of finite infinitesimal strain, discuss nonlinear (and non-differentiable) constitutive laws such as friction contact fracture. Using theory well-posedness evolutionary maximal monotone operators, we show model case strain under certain assumptions on parameters.