Quasi-static cracks and minimal energy surfaces
arXiv:cond-mat/9801163 · doi:10.1103/PhysRevLett.80.329
Abstract
We compare the roughness of minimal energy(ME) surfaces and scalar ``quasi-static'' fracture surfaces(SQF). Two dimensional ME and SQF surfaces have the same roughness scaling, w sim L^zeta (L is system size) with zeta = 2/3. The 3-d ME and SQF results at strong disorder are consistent with the random-bond Ising exponent zeta (d >= 3) approx 0.21(5-d) (d is bulk dimension). However 3-d SQF surfaces are rougher than ME ones due to a larger prefactor. ME surfaces undergo a ``weakly rough'' to ``algebraically rough'' transition in 3-d, suggesting a similar behavior in fracture.
7 pages, aps.sty-latex, 7 figures
Cited by in corpus (22)
- Statistical Models of Fracture
- Acoustic Emission from Paper Fracture
- Origin of the Universal Roughness Exponent of Brittle Fracture Surfaces: Correlated Percolation in the Damage Zone
- Can crack front waves explain the roughness of cracks ?
- Crack roughness and avalanche precursors in the random fuse model
- Fracture Roughness Scaling: a case study on planar cracks
- Intermittency and roughening in the failure of brittle heterogeneous materials
- Crack avalanches in the three dimensional random fuse model
- Optimal Path in Two and Three Dimensions
- Morphology of two dimensional fracture surface
- Scaling of interfaces in brittle fracture and perfect plasticity
- Percolation and localization in the random fuse model
- Roughness of Crack Interfaces in Two-Dimensional Beam Lattices
- Anisotropy in Rupture Lines of Paper Sheets
- Roughness of fracture surfaces
- Damage Growth in Random Fuse Networks
- Intermittence and roughening of periodic elastic media
- Correlation Length Exponent in the Three-Dimensional Fuse Network
- Experimental Realization of the Fuse Model of Crack Formation
- A periodic elastic medium in which periodicity is relevant
- Brittle Crack Roughness in Three-Dimensional Beam Lattices
- Planar 2-D Cracks And Inclusions In Elastic Media