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

verfasst von
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.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Institut für Angewandte Mathematik
PhoenixD: Simulation, Fabrikation und Anwendung optischer Systeme
Typ
Artikel
Journal
Computers and Mathematics with Applications
Band
91
Seiten
99-121
Anzahl der Seiten
23
ISSN
0898-1221
Publikationsdatum
01.06.2021
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Modellierung und Simulation, Theoretische Informatik und Mathematik, Computational Mathematics
Elektronische Version(en)
https://arxiv.org/abs/2001.06055 (Zugang: Offen)
https://doi.org/10.1016/j.camwa.2020.07.013 (Zugang: Geschlossen)