Details
| Original language | English |
|---|---|
| Pages (from-to) | 99-121 |
| Number of pages | 23 |
| Journal | Computers and Mathematics with Applications |
| Volume | 91 |
| Early online date | 17 Aug 2020 |
| Publication status | Published - 1 Jun 2021 |
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
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
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In: Computers and Mathematics with Applications, Vol. 91, 01.06.2021, p. 99-121.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A global–local approach for hydraulic phase-field fracture in poroelastic media
AU - Aldakheel, Fadi
AU - Noii, Nima
AU - Wick, Thomas
AU - Wriggers, Peter
N1 - 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’s Excellence Strategy within the Cluster of Excellence PhoenixD (EXC 2122) .
PY - 2021/6/1
Y1 - 2021/6/1
N2 - 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.
AB - 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.
KW - Dual mortar method
KW - Finite strains
KW - Global-local method
KW - Hydraulic fracture in porous media
KW - Phase-field approach
KW - Predictor–corrector adaptivity
UR - http://www.scopus.com/inward/record.url?scp=85088845700&partnerID=8YFLogxK
U2 - 10.1016/j.camwa.2020.07.013
DO - 10.1016/j.camwa.2020.07.013
M3 - Article
AN - SCOPUS:85088845700
VL - 91
SP - 99
EP - 121
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
SN - 0898-1221
ER -