The fracture strength of solids near the percolation threshold

K. Sieradzki

doi:10.1088/0022-3719/18/27/002

The fracture strength of solids near the percolation threshold

K. Sieradzki

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Abstract

The authors develop a relation for the fracture strength of a porous solid or random network near the percolation threshold. Near the percolation threshold the fracture strength vanishes as (p-p_c)^{(τ+v(2-d))2/}, where τ and υ are the elasticity and coherence length exponent respectively and d is the fractal dimension of the percolating cluster. Employing this relation, they have determined the elasticity exponent in a recent molecular dynamic investigation to be ≈ 2.

Original language	English (US)
Pages (from-to)	L855-L856
Journal	Journal of Physics C: Solid State Physics
Volume	18
Issue number	27
DOIs	https://doi.org/10.1088/0022-3719/18/27/002
State	Published - Sep 30 1985
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
General Engineering
General Physics and Astronomy

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10.1088/0022-3719/18/27/002

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title = "The fracture strength of solids near the percolation threshold",

abstract = "The authors develop a relation for the fracture strength of a porous solid or random network near the percolation threshold. Near the percolation threshold the fracture strength vanishes as (p-pc)(τ+v(2-d))2/, where τ and υ are the elasticity and coherence length exponent respectively and d is the fractal dimension of the percolating cluster. Employing this relation, they have determined the elasticity exponent in a recent molecular dynamic investigation to be ≈ 2.",

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N2 - The authors develop a relation for the fracture strength of a porous solid or random network near the percolation threshold. Near the percolation threshold the fracture strength vanishes as (p-pc)(τ+v(2-d))2/, where τ and υ are the elasticity and coherence length exponent respectively and d is the fractal dimension of the percolating cluster. Employing this relation, they have determined the elasticity exponent in a recent molecular dynamic investigation to be ≈ 2.

AB - The authors develop a relation for the fracture strength of a porous solid or random network near the percolation threshold. Near the percolation threshold the fracture strength vanishes as (p-pc)(τ+v(2-d))2/, where τ and υ are the elasticity and coherence length exponent respectively and d is the fractal dimension of the percolating cluster. Employing this relation, they have determined the elasticity exponent in a recent molecular dynamic investigation to be ≈ 2.

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U2 - 10.1088/0022-3719/18/27/002

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JO - Journal of Physics C: Solid State Physics

JF - Journal of Physics C: Solid State Physics

IS - 27

ER -

The fracture strength of solids near the percolation threshold

Abstract

ASJC Scopus subject areas

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