Fracture of disordered, elastic lattices in two dimensions
- 1 January 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 39 (1), 637-648
- https://doi.org/10.1103/physrevb.39.637
Abstract
We study via simulation how a lattice breaks if each bond is an elastic beam having longitudinal and flexural breaking thresholds randomly selected according to various probability distributions. We observe scaling of force, displacement, and number of broken beams in the controlled regime. The distribution of local forces just before breaking is characterized by a multifractal spectrum f(α).Keywords
This publication has 31 references indexed in Scilit:
- Rupture of heterogeneous media in the limit of infinite disorderJournal of Statistical Physics, 1988
- Electrical breakdown in a fuse network with random, continuously distributed breaking strengthsPhysical Review B, 1988
- Breakdown properties of quenched random systems: The random-fuse networkPhysical Review B, 1987
- The failure distribution in percolation models of breakdownJournal of Physics A: General Physics, 1987
- Size Effects of Electrical Breakdown in Quenched random MediaPhysical Review Letters, 1986
- Elastic percolation models for cohesive mechanical failure in heterogeneous systemsPhysical Review B, 1986
- Simulation of Electric Breakdown and Resulting Variant of Percolation FractalsPhysical Review Letters, 1985
- Elastic Properties of Random Percolating SystemsPhysical Review Letters, 1984
- Percolation on Elastic Networks: New Exponent and ThresholdPhysical Review Letters, 1984
- On a relation between percolation theory and the elasticity of gelsJournal de Physique Lettres, 1976