A group-theoretic approach to the geometry of elastic rings

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

All globally possible solutions of a twisted, homogeneous, elastic ring with circular cross section and no external load are characterized by their symmetry groups. The symmetry group of the untwisted, trivial solution is identified as ΓSt0 = O(2) ×Z2, and symmetry groups for the nontrivial solutions are found among the subgroups of ΓSt0.

Original languageEnglish
Pages (from-to)453-478
Number of pages26
JournalJournal of Nonlinear Science
Volume5
Issue number6
DOIs
Publication statusPublished - Nov 1995

Fingerprint

Symmetry Group
Ring
Geometry
rings
symmetry
geometry
Nontrivial Solution
subgroups
Trivial
Cross section
Subgroup
cross sections

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Applied Mathematics
  • Mathematics(all)
  • Mechanics of Materials
  • Computational Mechanics

Cite this

A group-theoretic approach to the geometry of elastic rings. / Domokos, G.

In: Journal of Nonlinear Science, Vol. 5, No. 6, 11.1995, p. 453-478.

Research output: Contribution to journalArticle

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