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

E. J. Garboczi, Michael Thorpe

Research output: Contribution to journalArticle

20 Citations (Scopus)

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 - 1986
Externally publishedYes

Fingerprint

Computer simulation
symmetry
simulation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Effective-medium theory of percolation on central-force elastic networks. III. the superelastic problem. / Garboczi, E. J.; Thorpe, Michael.

In: Physical Review B, Vol. 33, No. 5, 1986, p. 3289-3294.

Research output: Contribution to journalArticle

Garboczi, E. J. ; Thorpe, Michael. / Effective-medium theory of percolation on central-force elastic networks. III. the superelastic problem. In: Physical Review B. 1986 ; Vol. 33, No. 5. pp. 3289-3294.
@article{76bdaf3163814eb6afb88cffb3b0a7a9,
title = "Effective-medium theory of percolation on central-force elastic networks. III. the superelastic problem",
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.",
author = "Garboczi, {E. J.} and Michael Thorpe",
year = "1986",
doi = "10.1103/PhysRevB.33.3289",
language = "English (US)",
volume = "33",
pages = "3289--3294",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "5",

}

TY - JOUR

T1 - Effective-medium theory of percolation on central-force elastic networks. III. the superelastic problem

AU - Garboczi, E. J.

AU - Thorpe, Michael

PY - 1986

Y1 - 1986

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=24044448490&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24044448490&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.33.3289

DO - 10.1103/PhysRevB.33.3289

M3 - Article

AN - SCOPUS:24044448490

VL - 33

SP - 3289

EP - 3294

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 5

ER -