Some convexity considerations for a two-dimensional traction problem

J. N. Flavin, R. J. Knops

Research output: Contribution to journalArticlepeer-review

Abstract

A rectangular strip, consisting of homogeneous, isotropic, elastic material, is in an equilibrium state of plane stress, due to actions applied to a pair of opposite edges, the remaining pair being traction-free. The convexity of certain cross-sectional measures of stress is established; and a generalized convexity property is also established for one such measure, leading to an explicit decay estimate for the measure in the case of a semi-infinite strip, one end of which is subjected to a self-equilibrated load. © 1988 Birkhäuser Verlag Basel.

Original languageEnglish
Pages (from-to)166-176
Number of pages11
JournalZAMP Zeitschrift für angewandte Mathematik und Physik
Volume39
Issue number2
DOIs
Publication statusPublished - Mar 1988

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