Nucleation of Fracture: The First-Octant Evidence Against Classical Variational Phase-Field Models
Publication
, Journal Article
Kamarei, F; Dolbow, JE; Lopez-Pamies, O
Published in: Journal of Applied Mechanics
January 1, 2025
As a companion work to [1], this article presents a series of simple formulae and explicit results that illustrate and highlight why classical variational phase-field models cannot possibly predict fracture nucleation in elastic brittle materials. The focus is on "tension-dominated"problems where all principal stresses are nonnegative, that is, problems taking place entirely within the first octant in the space of principal stresses.
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Published In
Journal of Applied Mechanics
DOI
EISSN
1528-9036
ISSN
0021-8936
Publication Date
January 1, 2025
Volume
92
Issue
1
Related Subject Headings
- Mechanical Engineering & Transports
- 4017 Mechanical engineering
- 4005 Civil engineering
- 4001 Aerospace engineering
- 0913 Mechanical Engineering
- 0905 Civil Engineering
- 0901 Aerospace Engineering
Citation
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Kamarei, F., Dolbow, J. E., & Lopez-Pamies, O. (2025). Nucleation of Fracture: The First-Octant Evidence Against Classical Variational Phase-Field Models. Journal of Applied Mechanics, 92(1). https://doi.org/10.1115/1.4067146
Kamarei, F., J. E. Dolbow, and O. Lopez-Pamies. “Nucleation of Fracture: The First-Octant Evidence Against Classical Variational Phase-Field Models.” Journal of Applied Mechanics 92, no. 1 (January 1, 2025). https://doi.org/10.1115/1.4067146.
Kamarei F, Dolbow JE, Lopez-Pamies O. Nucleation of Fracture: The First-Octant Evidence Against Classical Variational Phase-Field Models. Journal of Applied Mechanics. 2025 Jan 1;92(1).
Kamarei, F., et al. “Nucleation of Fracture: The First-Octant Evidence Against Classical Variational Phase-Field Models.” Journal of Applied Mechanics, vol. 92, no. 1, Jan. 2025. Scopus, doi:10.1115/1.4067146.
Kamarei F, Dolbow JE, Lopez-Pamies O. Nucleation of Fracture: The First-Octant Evidence Against Classical Variational Phase-Field Models. Journal of Applied Mechanics. 2025 Jan 1;92(1).
Published In
Journal of Applied Mechanics
DOI
EISSN
1528-9036
ISSN
0021-8936
Publication Date
January 1, 2025
Volume
92
Issue
1
Related Subject Headings
- Mechanical Engineering & Transports
- 4017 Mechanical engineering
- 4005 Civil engineering
- 4001 Aerospace engineering
- 0913 Mechanical Engineering
- 0905 Civil Engineering
- 0901 Aerospace Engineering