Details
| Original language | English |
|---|---|
| Article number | 106036 |
| Number of pages | 31 |
| Journal | Journal of the Mechanics and Physics of Solids |
| Volume | 196 |
| Early online date | 17 Jan 2025 |
| Publication status | Published - Mar 2025 |
Abstract
This paper presents a 3D variational phase-field cohesive fracture model that incorporates crack direction information into the energy functional. Through an analytical homogenization procedure, the crack normal is obtained in closed form based on the principle of energy minimization. We find that, within the proposed model, several widely recognized crack direction criteria—including the minimum potential energy, maximum driving force, and maximum cohesive stress—are consistent and unified. The remaining criteria are simply stress-space descriptions of the same physical state, derived from the strain-space minimum potential energy criterion through the Legendre transformation. The performance of the proposed model is demonstrated through four representative numerical examples involving tension, torsion, anti-plane shear, and mixed-mode loading. The results indicate that, as the proposed model faithfully converges to the 3D cohesive zone model with a mixed-mode cohesive law, it is capable of predicting complex 3D crack morphologies during nucleation and growth, and is general enough to describe both tensile- and shear-dominated 3D fractures.
Keywords
- 3D crack, Cohesive fracture, Crack direction, Maximum driving force, Mixed-mode fracture, Phase-field model, Variational principle
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: Journal of the Mechanics and Physics of Solids, Vol. 196, 106036, 03.2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - 3D phase-field cohesive fracture
T2 - Unifying energy, driving force, and stress criteria for crack nucleation and propagation direction
AU - Feng, Ye
AU - Hai, Lu
N1 - Publisher Copyright: © 2025 The Authors
PY - 2025/3
Y1 - 2025/3
N2 - This paper presents a 3D variational phase-field cohesive fracture model that incorporates crack direction information into the energy functional. Through an analytical homogenization procedure, the crack normal is obtained in closed form based on the principle of energy minimization. We find that, within the proposed model, several widely recognized crack direction criteria—including the minimum potential energy, maximum driving force, and maximum cohesive stress—are consistent and unified. The remaining criteria are simply stress-space descriptions of the same physical state, derived from the strain-space minimum potential energy criterion through the Legendre transformation. The performance of the proposed model is demonstrated through four representative numerical examples involving tension, torsion, anti-plane shear, and mixed-mode loading. The results indicate that, as the proposed model faithfully converges to the 3D cohesive zone model with a mixed-mode cohesive law, it is capable of predicting complex 3D crack morphologies during nucleation and growth, and is general enough to describe both tensile- and shear-dominated 3D fractures.
AB - This paper presents a 3D variational phase-field cohesive fracture model that incorporates crack direction information into the energy functional. Through an analytical homogenization procedure, the crack normal is obtained in closed form based on the principle of energy minimization. We find that, within the proposed model, several widely recognized crack direction criteria—including the minimum potential energy, maximum driving force, and maximum cohesive stress—are consistent and unified. The remaining criteria are simply stress-space descriptions of the same physical state, derived from the strain-space minimum potential energy criterion through the Legendre transformation. The performance of the proposed model is demonstrated through four representative numerical examples involving tension, torsion, anti-plane shear, and mixed-mode loading. The results indicate that, as the proposed model faithfully converges to the 3D cohesive zone model with a mixed-mode cohesive law, it is capable of predicting complex 3D crack morphologies during nucleation and growth, and is general enough to describe both tensile- and shear-dominated 3D fractures.
KW - 3D crack
KW - Cohesive fracture
KW - Crack direction
KW - Maximum driving force
KW - Mixed-mode fracture
KW - Phase-field model
KW - Variational principle
UR - http://www.scopus.com/inward/record.url?scp=85215408153&partnerID=8YFLogxK
U2 - 10.1016/j.jmps.2025.106036
DO - 10.1016/j.jmps.2025.106036
M3 - Article
AN - SCOPUS:85215408153
VL - 196
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
SN - 0022-5096
M1 - 106036
ER -