### 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 language | English (US) |
---|---|

Pages (from-to) | 3289-3294 |

Number of pages | 6 |

Journal | Physical Review B |

Volume | 33 |

Issue number | 5 |

DOIs | |

State | Published - 1986 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B*,

*33*(5), 3289-3294. https://doi.org/10.1103/PhysRevB.33.3289

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

Research output: Contribution to journal › Article

*Physical Review B*, vol. 33, no. 5, pp. 3289-3294. https://doi.org/10.1103/PhysRevB.33.3289

}

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 -