Effective-medium theory of percolation on central-force elastic networks. III. the superelastic problem

E. J. Garboczi, M. F. Thorpe

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Abstract

The effective-medium theory developed in previous papers is extended to the superelastic problem, where a fraction p of the bonds in a central-force elastic network have a spring constant ±s and a fraction 1-p of the bonds have a spring constant ±w. The superelastic limit is obtained as ±w/±s 0 such that ±w remains finite. In this paper we present comparisons between effective-medium theory and numerical simulations for the triangular net with nearest-neighbor central forces and the square net with nearest- and next-nearest-neighbor central forces. Some unexpected symmetries are found in these models.

Original languageEnglish (US)
Pages (from-to)3289-3294
Number of pages6
JournalPhysical Review B
Volume33
Issue number5
DOIs
StatePublished - Jan 1 1986

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ASJC Scopus subject areas

  • Condensed Matter Physics

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