Continuous dependence on base data in an elastic prismatic cylinder

Robin J Knops, L. E. Payne

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper establishes the continuous dependence of the displacement on the base geometry and load of the decay behaviour in a prismatic semi-infinite cylinder occupied by an anisotropic homogeneous linear elastic material. The cylinder is in equilibrium under zero body-force, zero displacement on the lateral boundary and pointwise specified displacement on the base. A differential inequality is derived which on integration leads to an inequality in terms of the perturbation of the base geometry and differences in the base displacement. Continuous dependence is an immediate consequence.

Original languageEnglish
Pages (from-to)179-190
Number of pages12
JournalJournal of Elasticity
Volume64
Issue number2-3
DOIs
Publication statusPublished - 1 Jul 2001

Keywords

  • Continuous dependence on base geometry and data
  • Decay behaviour
  • Linear elasticity

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