Strength of disordered solids

Ray, P. ; Chakrabarti, B. K. (1988) Strength of disordered solids Physical Review B, 38 (1). pp. 715-719. ISSN 0163-1829

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The response of a bond-diluted elastic network, when it is subjected to an external stress, is discussed. For low-bond-dilution concentration, the statistics of lattice animals can provide a measure of the strength (fracture stress) of such a system and lead to the conventional Weibull form for the flaw distribution function g(s). Near the percolation threshold pc of the system, we use the "node-link-blob" model of the percolation cluster to study the critical behavior of the strength of such a bond-diluted elastic network. As p→pc, strength goes to zero with the critical exponent T'. A scaling relation for T' is obtained, which is exact for dimension d=6 and gives a lower bound for d< 6. Agreement of the scaling relation with experimental results are discussed. Finally we present a Monte Carlo renormalization-group (MCRG) study in a very simplistic elastic model in d=2 dimensions, along with a straightforward Monte Carlo simulation (MCS) for the elastic response and strength of the same model system of size 50×50. The elastic exponent T and the fracture exponent T', obtained for the model either from MCRG or from MCS, are in perfect conformity (within the limit of statistical errors) with our scaling relation.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:5893
Deposited On:19 Oct 2010 10:21
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