Details
| Original language | English |
|---|---|
| Article number | 112744 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 361 |
| Early online date | 29 Nov 2019 |
| Publication status | Published - 1 Apr 2020 |
Abstract
This work addresses an efficient Global–Local approach supplemented with predictor–corrector adaptivity applied to anisotropic phase-field brittle fracture. The phase-field formulation is used to resolve the sharp crack surface topology on the anisotropic/non-uniform local state in the regularized concept. To resolve the crack phase-field by a given single preferred direction, second-order structural tensors are imposed to both the bulk and crack surface density functions Accordingly, a split in tension and compression modes in anisotropic materials is considered. A Global–Local formulation is proposed, in which the full displacement/phase-field problem is solved on a lower (local) scale, while dealing with a purely linear elastic problem on an upper (global) scale. Robin-type boundary conditions are introduced to relax the stiff local response at the global scale and enhancing its stabilization. Another important aspect of this contribution is the development of an adaptive Global–Local approach, where a predictor–corrector scheme is designed in which the local domains are dynamically updated during the computation. To cope with different finite element discretizations at the interface between the two nested scales, a non-matching dual mortar method is formulated. Hence, more regularity is achieved on the interface. Several numerical results substantiate our developments.
Keywords
- Anisotropic brittle fracture, Global–local formulation, Non-matching dual mortar method, Phase-field modeling, predictor–corrector adaptivity, Robin-type boundary condition
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 361, 112744, 01.04.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An adaptive global–local approach for phase-field modeling of anisotropic brittle fracture
AU - Noii, Nima
AU - Aldakheel, Fadi
AU - Wick, Thomas
AU - Wriggers, Peter
N1 - Funding Information: NN was partially supported by the Priority Program DFG - SPP 1748 under the project WI 4367/2-1 . FA was founded by the Priority Program DFG - SPP 2020 under the project WR 19/58-1 . TW and PW were funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy within the Cluster of Excellence PhoenixD (EXC 2122) , project ID 390833453 . Appendix A
PY - 2020/4/1
Y1 - 2020/4/1
N2 - This work addresses an efficient Global–Local approach supplemented with predictor–corrector adaptivity applied to anisotropic phase-field brittle fracture. The phase-field formulation is used to resolve the sharp crack surface topology on the anisotropic/non-uniform local state in the regularized concept. To resolve the crack phase-field by a given single preferred direction, second-order structural tensors are imposed to both the bulk and crack surface density functions Accordingly, a split in tension and compression modes in anisotropic materials is considered. A Global–Local formulation is proposed, in which the full displacement/phase-field problem is solved on a lower (local) scale, while dealing with a purely linear elastic problem on an upper (global) scale. Robin-type boundary conditions are introduced to relax the stiff local response at the global scale and enhancing its stabilization. Another important aspect of this contribution is the development of an adaptive Global–Local approach, where a predictor–corrector scheme is designed in which the local domains are dynamically updated during the computation. To cope with different finite element discretizations at the interface between the two nested scales, a non-matching dual mortar method is formulated. Hence, more regularity is achieved on the interface. Several numerical results substantiate our developments.
AB - This work addresses an efficient Global–Local approach supplemented with predictor–corrector adaptivity applied to anisotropic phase-field brittle fracture. The phase-field formulation is used to resolve the sharp crack surface topology on the anisotropic/non-uniform local state in the regularized concept. To resolve the crack phase-field by a given single preferred direction, second-order structural tensors are imposed to both the bulk and crack surface density functions Accordingly, a split in tension and compression modes in anisotropic materials is considered. A Global–Local formulation is proposed, in which the full displacement/phase-field problem is solved on a lower (local) scale, while dealing with a purely linear elastic problem on an upper (global) scale. Robin-type boundary conditions are introduced to relax the stiff local response at the global scale and enhancing its stabilization. Another important aspect of this contribution is the development of an adaptive Global–Local approach, where a predictor–corrector scheme is designed in which the local domains are dynamically updated during the computation. To cope with different finite element discretizations at the interface between the two nested scales, a non-matching dual mortar method is formulated. Hence, more regularity is achieved on the interface. Several numerical results substantiate our developments.
KW - Anisotropic brittle fracture
KW - Global–local formulation
KW - Non-matching dual mortar method
KW - Phase-field modeling
KW - predictor–corrector adaptivity
KW - Robin-type boundary condition
UR - http://www.scopus.com/inward/record.url?scp=85075817393&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1905.07519
DO - 10.48550/arXiv.1905.07519
M3 - Article
AN - SCOPUS:85075817393
VL - 361
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 112744
ER -