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A global-local approach for hydraulic phase-field fracture in poroelastic media

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 by Robin-type interface conditions. The fracture(s) 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.

preprint2020arXivOpen access
Fadi AldakheelNima NoiiThomas WickPeter Wriggers
math.NANumerical Analysis
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Open access4 authors2 topics
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Fadi AldakheelNima NoiiThomas WickPeter Wriggers

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