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)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{e8d7e15205424cbe989171dd756cbe4c,
title = "A global–local approach for hydraulic phase-field fracture in poroelastic media",
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.",
keywords = "Dual mortar method, Finite strains, Global-local method, Hydraulic fracture in porous media, Phase-field approach, Predictor–corrector adaptivity",
author = "Fadi Aldakheel and Nima Noii and Thomas Wick and Peter Wriggers",
note = "Funding Information: F. Aldakheel was funded by the Priority Program DFG-SPP 2020 within its second funding phase. N. Noii was partially supported by the Priority Program DFG-SPP 1748 , Germany . T. Wick and P. Wriggers were funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany{\textquoteright}s Excellence Strategy within the Cluster of Excellence PhoenixD (EXC 2122) .",
year = "2021",
month = jun,
day = "1",
doi = "10.1016/j.camwa.2020.07.013",
language = "English",
volume = "91",
pages = "99--121",
journal = "Computers and Mathematics with Applications",
issn = "0898-1221",
publisher = "Elsevier Ltd.",
}