An elastic circular cylinder with prescribed displacements at the ends - asymmetric case

M. Robert*, Leon M Keer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

A linear elastic cylinder of finite length is sheared in a direction perpendicular to its axis of symmetry such that displacements are prescribed on its ends while its lateral surface remains stress free. The solution to this asymmetric problem is found by using an eigenfunction expansion technique from which results were previously obtained in the axisymmetric case. The stress singularities at the flat ends of the cylinder require a special technique which is incorporated in this paper.

Original languageEnglish (US)
Pages (from-to)365-381
Number of pages17
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume40
Issue number3
DOIs
StatePublished - Aug 1 1987

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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