Alternative spatial behaviour in the incompressible linear elastic prismatic constrained cylinder

R. J. Knops

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Differential inequalities are derived for two cross-sectional energy fluxes. Integration establishes exponential growth and decay estimates for the cross-sectional mean square displacement, displacement gradient and pressure. The conclusions relate to Saint-Venant's principle for an incompressible elastic cylinder and more generally to the Phragmen-Lindelof principle and Liouville's theorem. Other contributions to the literature are briefly noted.

Original languageEnglish
Pages (from-to)111-128
Number of pages18
JournalJournal of Engineering Mathematics
Volume37
Issue number1-3
Publication statusPublished - Feb 2000

Keywords

  • Incompressible linear elasticity
  • Saint-Venant's principle
  • Spatial behaviour

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