Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder

R. J. Knops, R Quintanilla

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Continuous dependence on the initial time geometry is established for the mean-square integral of the displacement in a linear inhomogeneous anisotropic elastic semi-infinite cylinder in motion subject to a prescribed time-dependent base displacement and initial data. A bound, newly derived for the total energy, in conjunction with backward continuation in time of the unperturbed and perturbed displacements, is employed to obtain the result. © 2008 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)1265-1273
Number of pages9
JournalInternational Journal of Engineering Science
Volume47
Issue number11-12
DOIs
Publication statusPublished - Nov 2009

Keywords

  • Continuous dependence
  • Elasticity
  • Initial time geometry

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