Mixed-dimensional poromechanical models of fractured porous media
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Publication:6385227
DOI10.1007/S00707-022-03378-1arXiv2112.05038MaRDI QIDQ6385227
J. M. Nordbotten, Wietse M. Boon
Publication date: 9 December 2021
Abstract: We combine classical continuum mechanics with the recently developed calculus for mixed-dimensional problems to obtain governing equations for flow in, and deformation of, fractured materials. We present models both in the context of finite and infinitesimal strain, and discuss non-linear (and non-differentiable) constitutive laws such as friction models and contact mechanics in the fracture. Using the theory of well-posedness for evolutionary equations with maximal monotone operators, we show well-posedness of the model in the case of infinitesimal strain and under certain assumptions on the model parameters.
Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Fracture and damage (74R99) PDEs in connection with mechanics of deformable solids (35Q74)
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