The critical behaviour of fracture properties of dilute brittle solids near the percolation threshold

Ray, P. ; Chakrabarti, B. K. (1985) The critical behaviour of fracture properties of dilute brittle solids near the percolation threshold Journal of Physics C: Solid State Physics, 18 (9). L185-L188. ISSN 0022-3719

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Official URL: http://iopscience.iop.org/0022-3719/18/9/002?fromS...

Related URL: http://dx.doi.org/10.1088/0022-3719/18/9/002

Abstract

The molecular dynamic simulation results for the average fracture stress Σ 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 Σ c=square root k(1-p)−½ mod p-pc mod (nu + t)/2, obtained employing Griffith's energy balance concept to the 'node-link' superlattice model of percolation clusters.

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