Spatial Behaviour in Pre-stressed Constrained Elastic Cylinders

R. J. Knops, R Quintanilla

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Considered within the theory of small deformations superposed upon large is spatial behaviour for a prestressed laterally constrained elastic cylinder in equilibrium under zero body force and for sets of elastic coefficients that are not positive-definite. Certain cross-sectional integral measures are shown to be logarithmically convex implying at least exponentially increasing growth behaviour. For sufficiently long cylinders, this conclusion contradicts at most quadratic growth, and consequently the theory ceases to be valid indicating possible initiation of buckling and similar phenomena. © 2011 Springer Science+Business Media B.V.

Original languageEnglish
Pages (from-to)1-27
Number of pages28
JournalJournal of Elasticity
Volume105
Issue number1-2
DOIs
Publication statusPublished - Nov 2011

Keywords

  • Logarithmetic convexity
  • Non positive-definite elastic coefficients
  • Prestressed elastic cylinder

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