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 p c . 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-p c mod (nu + t)/2 , obtained employing Griffith's energy balance concept to the 'node-link' superlattice model of percolation clusters.
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Ray et al. (1985) studied this question.
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