Continuous deformations in random networks

Michael Thorpe

Research output: Contribution to journalArticle

1140 Citations (Scopus)

Abstract

We examine some current ideas concerning the differences between covalent random networks with high and low average coordination. These ideas can be made rigorous by considering the number of continuous deformations (i.e. zero frequency modes) allowed within the network. In the transition from one kind of network to another, rigidity percolates through the system. This leads to a picture in which random networks with low average coordination (polymeric glasses) have large floppy or spongy regions with a few rigid inclusions. On the other hand in random networks with high average coordination (amorphous solids) the rigid regions have percolated to form a rigid solid with a few floppy or spongy inclusions.

Original languageEnglish (US)
Pages (from-to)355-370
Number of pages16
JournalJournal of Non-Crystalline Solids
Volume57
Issue number3
DOIs
StatePublished - Sep 2 1983
Externally publishedYes

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Polymeric glass
Rigidity
inclusions
rigidity
glass

ASJC Scopus subject areas

  • Ceramics and Composites
  • Electronic, Optical and Magnetic Materials
  • Engineering(all)

Cite this

Continuous deformations in random networks. / Thorpe, Michael.

In: Journal of Non-Crystalline Solids, Vol. 57, No. 3, 02.09.1983, p. 355-370.

Research output: Contribution to journalArticle

Thorpe, Michael. / Continuous deformations in random networks. In: Journal of Non-Crystalline Solids. 1983 ; Vol. 57, No. 3. pp. 355-370.
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