1996/12/10 by Stefano Zapperi, Purusattam Ray, Zapperi, Stefano +5
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Geotechnical and Geomechanical Engineering #High-Velocity Impact and Material Behavior #Material Properties and Failure Mechanisms #Materials Science (cond-mat.mtrl-sci) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9612094
5 latex pages, 3 postscript figures, submitted to the Mat. Res. Soc. Proc. (Fall 1996)
arxiv created 1996/12/10 · openalex publication_date 1996/12/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the behavior of fracture in disordered systems close to the breakdown point. We simulate numerically both scalar (resistor network) and vectorial (spring network) models with threshold disorder, driven at constant current and stress rate respectively. We analyze the scaling of the susceptibility and the cluster size close to the breakdown. We observe avalanche behavior and clustering of the cracks. We find that the scaling exponents are consistent with those found close to a mean-field spinodal and present analogies between the coalescence of microfractures and the coalescence of droplets in a metastable magnetic system. Finally, we discuss different experimental conditions and some possible theoretical interpretations of the results.