The fracture strength of solids near the percolation threshold

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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-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.

Original languageEnglish (US)
Pages (from-to)L855-L856
JournalJournal of Physics C: Solid State Physics
Volume18
Issue number27
DOIs
StatePublished - Sep 30 1985

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ASJC Scopus subject areas

  • Condensed Matter Physics
  • Engineering(all)
  • Physics and Astronomy(all)

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