Hidden symmetry of global solutions in twisted elastic rings

G. Domokos, T. Healey

Research output: Contribution to journalArticle

15 Citations (Scopus)


We investigate global equilibria of twisted, isotropic elastic rings. The high degree of symmetry in the problem leads to nonisolated solutions. We prove that all solutions are flip-symmetric, and from this we can globally isolate all solution branches. We derive possible other choices for boundary conditions systematically and show that other conditions necessarily lead to spurious solutions. We show global computations performed by the Parallel Simplex Algorithm.

Original languageEnglish
Pages (from-to)47-67
Number of pages21
JournalJournal of Nonlinear Science
Issue number1
Publication statusPublished - Jan 1 2001

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering(all)
  • Applied Mathematics

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