Roughness of Crack Interfaces in Two-Dimensional Beam Lattices

Abstract

The roughness of crack interfaces is reported in quasistatic fracture, using an elastic network of beams with random breaking thresholds. For strong disorders we obtain 0.86(3) for the roughness exponent, a result which is very different from the minimum energy surface exponent, i.e., the value 2/3. A cross-over to lower values is observed as the disorder is reduced, the exponent in these cases being strongly dependent on the disorder.

9 pages, RevTeX, 3 figures

References in corpus (5)

• Dynamics and Instabilities of Planar Tensile Cracks in Heterogeneous Media
• Onset of Propagation of Planar Cracks in Heterogeneous Media
• Fracture in Three-Dimensional Fuse Networks
• Quasi-static cracks and minimal energy surfaces
• Dynamics of Fractures in Quenched Disordered Media

Cited by in corpus (9)

• Statistical Models of Fracture
• Origin of the Universal Roughness Exponent of Brittle Fracture Surfaces: Correlated Percolation in the Damage Zone
• Computer simulation of fatigue under diametrical compression
• Crack Roughness in the 2D Random Threshold Beam Model
• Statistical Physics of Fracture Surfaces Morphology
• Effect of Disorder and Notches on Crack Roughness
• Scaling Laws of Stress and Strain in Brittle Fracture
• Brittle Crack Roughness in Three-Dimensional Beam Lattices
• Implications of Realistic Fracture Criteria on Crack Morphology