A global-local approach for hydraulic phase-field fracture in poroelastic media. (English) Zbl 1524.74398
Summary: In this work, phase-field modeling of hydraulic fractures in porous media is extended towards a Global-Local approach. Therein, the failure behavior is solely analyzed in a (small) local domain. In the surrounding medium, a simplified and linearized system of equations is solved. Both domains are coupled with Robin-type interface conditions. The fractures inside the local domain are allowed to propagate and consequently, both subdomains change within time. Here, a predictor-corrector strategy is adopted, in which the local domain is dynamically adjusted to the current fracture pattern. The resulting framework is algorithmically described in detail and substantiated with some numerical tests.
MSC:
| 74R10 | Brittle fracture |
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 76S05 | Flows in porous media; filtration; seepage |
Keywords:
global-local method; phase-field approach; hydraulic fracture in porous media; predictor-corrector adaptivity; dual mortar method; finite strainsSoftware:
IPACSReferences:
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