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Abstract:
The phase field method (PFM) by means of regularization fractures has become a promising and popular method for complex crack propagation, especially in geotechnical applications. Attractive as it is, a challenge exists for the PFM to obtain explicit representation of cracks and jump displacement field across cracks that are essential and crucial for some applications, e.g., hydraulic fracturing, leakage problems, and contact problems. In the present paper, an algorithm in which the values of phase field are regarded as the indicator to identify crack paths is proposed. Then physical patches are cut by the reconstructed crack paths to obtain explicit cracks and jump displacement field in the context of the numerical manifold method (NMM). The numerical examples investigate that various explicit cracks, including a straight crack, a curve crack, the branching cracks, and the merging cracks, predicted by the proposed method are in good agreement with the literature. Besides, the Sneddon's example verifies that the discontinuous displacement field across explicit cracks is in line with the closed form solution. The proposed numerical model deserves a further investigation. (C) 2021 Elsevier B.V. All rights reserved.
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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN: 0045-7825
Year: 2021
Volume: 387
7 . 2 0 0
JCR@2022
ESI Discipline: COMPUTER SCIENCE;
ESI HC Threshold:87
JCR Journal Grade:1
Cited Count:
WoS CC Cited Count: 26
SCOPUS Cited Count: 25
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 10
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