A global–local approach for hydraulic phase-field fracture in poroelastic media. (1st June 2021)

• Record Type: Journal Article
• Authors: Aldakheel, Fadi; Noii, Nima; Wick, Thomas; Wriggers, Peter
• Is Part Of: Computers & mathematics with applications. Volume 91(2021)
• Page Start: 99
• Page End: 121
• Publication Date: 2021-06-01
• Subjects: Global-local method -- Phase-field approach -- Hydraulic fracture in porous media -- Predictor–corrector adaptivity -- Dual mortar method -- Finite strains; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2020.07.013
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: 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.