A quasistatic phase field approach to pressurized fractures
Résumé
In this paper we present a quasistatic formulation of a phase field model for a pressurized crack in a poroelastic medium. The mathematical model represents a linear elasticity system with a fading Gassman tensor as the crack grows, that is coupled with a variational inequality for the phase field variable containing an entropy inequality. We introduce a novel incremental approximation that decouples displacement and phase field problems. We establish convergence to a solution of the quasistatic problem, including Rice's condition, when the time discretization step goes to zero. Numerical experiments confirm the robustness and efficiency of this approach for multidimensional test cases
Origine : Fichiers produits par l'(les) auteur(s)
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