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Phase-Field Model of Mode III Dynamic Fracture
Open accessAbstract
We introduce a phenomenological continuum model for the mode III dynamic fracture that is based on the phase-field methodology used extensively to model interfacial pattern formation. We couple a scalar field, which distinguishes between "broken" and "unbroken" states of the system, to the displacement field in a way that consistently includes both macroscopic elasticity and a simple rotationally invariant short-scale description of breaking. We report two-dimensional simulations that yield steady-state crack motion in a strip geometry above the Griffith threshold.
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Cited by
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Martyushev, L. M., & Seleznev, V. D. (2006) · Physics Reports · doi:10.1016/j.physrep.2005.12.001 · Cited by 943
Multi-scale computation methods: Their applications in lithium-ion battery research and development
Shi, S., Gao, J., Liu, Y., Zhao, Y., Wu, Q., Ju, W., Ouyang, C., & Xiao, R. (2016) · Chinese Physics B · doi:10.1088/1674-1056/25/1/018212 · Cited by 615
Laws of crack motion and phase-field models of fracture
Hakim, V., & Karma, A. (2009) · Journal of the Mechanics and Physics of Solids · doi:10.1016/j.jmps.2008.10.012 · Cited by 405
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Liu, W. K., Li, S., & Park, H. S. (2022) · Archives of Computational Methods in Engineering · doi:10.1007/s11831-022-09740-9 · Cited by 322
Metadata
- Authors
- Karma, A., Kessler, D. A., & Levine, H.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-07-03
- Volume
- 87
- Issue
- 4
- Pages
- 045501-045501
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2093256786
- Cited by
- 669
- References
- 0
- FWCI
- 10.03
- Type
- journal article
- Language
- en
- Open access
- green
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