The critical behaviour of fracture properties of dilute brittle solids near the percolation threshold
- 30 March 1985
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 18 (9), L185-L188
- https://doi.org/10.1088/0022-3719/18/9/002
Abstract
The molecular dynamic simulation results for the average fracture stress sigma c of a 20*20 Lennard-Jones system has been studied here against the variation of random lattice bond dilution concentration p near the percolation threshold pc. A reasonable agreement has been obtained, without employing any fitting parameter, to the scaling from sigma c= square root k(1-p)-1/2 mod p-pc mod (nu + t)/2, obtained employing Griffith's energy balance concept to the 'node-link' superlattice model of percolation clusters.Keywords
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