On non-inflectional solutions of non-uniform elasticae

Gábor Domokos, Philip Holmes

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10 Citations (Scopus)

Abstract

We study buckled states of non-uniform elasticae and show that solutions having pairs of loops not separated by inflection points appear if and only if there is an (isolated) minimum in the bending stiffness. Such solutions lie on branches disconnected from the trivial solution in the global bifurcation diagram and so we obtain partial information regarding the qualitative structure of the latter.

Original languageEnglish
Pages (from-to)677-685
Number of pages9
JournalInternational Journal of Non-Linear Mechanics
Volume28
Issue number6
DOIs
Publication statusPublished - Nov 1993

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ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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