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)