Spatial behaviour in thermoelastostatic cylinders of indefinitely increasing cross-section

R. J. Knops, R. Quintanilla

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Alternative growth and decay estimates, reminiscent of the classical Phragmén-Lindelöf principle, are derived for a linearised thermoelastic body whose plane cross-sections increase unboundedly with respect to a given direction. The proof uses a modified Poincaré inequality to construct a differential inequality for a weighted linear combination of the cross-sectional mechanical and thermal energy fluxes. Decay estimates are deduced also for the cross-sectional mean square measures of the displacement and temperature. An explicit upper bound in terms of base data is established for the amplitude occurring in the decay estimates.

Original languageEnglish
Pages (from-to)89-117
Number of pages28
JournalJournal of Elasticity
Volume121
Issue number1
DOIs
Publication statusPublished - 25 Mar 2015

Keywords

  • Increasing cross-sections
  • Phragmén-Lindelöf principle
  • Thermoelastostatics

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