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

authored by
Fadi Aldakheel, Nima Noii, Thomas Wick, Peter Wriggers
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.

Organisation(s)
Institute of Continuum Mechanics
Institute of Applied Mathematics
PhoenixD: Photonics, Optics, and Engineering - Innovation Across Disciplines
Type
Article
Journal
Computers and Mathematics with Applications
Volume
91
Pages
99-121
No. of pages
23
ISSN
0898-1221
Publication date
01.06.2021
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Modelling and Simulation, Computational Theory and Mathematics, Computational Mathematics
Electronic version(s)
https://arxiv.org/abs/2001.06055 (Access: Open)
https://doi.org/10.1016/j.camwa.2020.07.013 (Access: Closed)
 

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