A monolithic phase-field model of a fluid-driven fracture in a nonlinear poroelastic medium

DOI10.1177/1081286518801050zbMath1446.74203OpenAlexW2897213722MaRDI QIDQ3304275

Cj van Duijn, Andro Mikelić, Thomas Wick

Publication date: 5 August 2020

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286518801050

zbMATH Keywords

convergencehydraulic fractureGalerkin approximation: existenceLyapunov energy functionalnonlinear Biot equations

Mathematics Subject Classification ID

Brittle fracture (74R10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence of solutions of dynamical problems in solid mechanics (74H20)

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