A microscopic approach to the statistical fracture analysis of disordered brittle solids

Ray, P. ; Chakrabarti, B. K. (1985) A microscopic approach to the statistical fracture analysis of disordered brittle solids Solid State Communications, 53 (5). pp. 477-479. ISSN 0038-1098

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/003810...

Related URL: http://dx.doi.org/10.1016/0038-1098(85)91061-0

Abstract

The static fracture properties of disordered brittle solids, having ordered crystalline structure and a random distribution of flaws (broken bonds), are studied here from a microscopic point of view. In the weak disorder limit, starting from McClintock's description, we have obtained the empirical Weibull formula for the average fracture strength σc , giving all its fitting parameters. The result of a molecular dynamic simulation of fracture in a square Lennard-Jones system, containing 400 atoms and randomly broken bonds, are found to compare very well with the theory.

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Deposited On:19 Oct 2010 10:50
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