Stability of networks under tension and pressure

H. Yan, A. R. Day, Michael Thorpe

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The number of zero-frequency modes of an elastic network is an important quantity in determining the stability of the network. We present a constraint-counting method for finding this number in general central-force networks that are under an external tension. The technique involves isolating the backbone and then counting constraints in the same way as for free standing networks. A detailed example of this counting is given for a random two-dimensional network subject to an external tension. The results are shown to agree with the number of zero-frequency modes as determined by a direct matrix diagonalization.

Original languageEnglish (US)
Pages (from-to)6876-6880
Number of pages5
JournalPhysical Review B
Volume38
Issue number10
DOIs
StatePublished - 1988
Externally publishedYes

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ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Stability of networks under tension and pressure. / Yan, H.; Day, A. R.; Thorpe, Michael.

In: Physical Review B, Vol. 38, No. 10, 1988, p. 6876-6880.

Research output: Contribution to journalArticle

Yan, H, Day, AR & Thorpe, M 1988, 'Stability of networks under tension and pressure', Physical Review B, vol. 38, no. 10, pp. 6876-6880. https://doi.org/10.1103/PhysRevB.38.6876
Yan, H. ; Day, A. R. ; Thorpe, Michael. / Stability of networks under tension and pressure. In: Physical Review B. 1988 ; Vol. 38, No. 10. pp. 6876-6880.
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