Spatial behaviour in plane incompressible elasticity on a half-strip

R. J. Knops, P. Villaggio

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Growth and decay estimates are derived for an incompressible homogeneous isotropic elastic material occupying a plane semi-infinite strip in equilibrium under self-equilibrated loads on the base and zero traction along the lateral sides. The estimates depend upon a pair of differential inequalities for two cross-sectional line integrals related to different kinds of energy fluxes. A comparison with the exact solution shows that the estimates are somewhat conservative. The method, however, is applicable to non-rectangular plane regions.

Original languageEnglish
Pages (from-to)355-367
Number of pages13
JournalQuarterly of Applied Mathematics
Volume58
Issue number2
Publication statusPublished - Jun 2000

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