An elastic circular cylinder with displacement prescribed at the ends - axially symmetric case

M. Robert*, Leon M Keer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

The problem of a linear elastic cylinder with a stress-free curved surface and prescribed displacements at the plane ends is solved by the development in terms of eigenvalue expansions. Then, a biorthogonality relationship for the axially symmetric case is obtained, which is seen to have convergence difficulties. These are surmounted through use of a Galerkin approach, which yields a more diagonally dominant system. To obtain results at the plane ends special techniques have to be developed that correctly incorporate the singular behaviour there.

Original languageEnglish (US)
Pages (from-to)339-363
Number of pages25
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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