Some convexity considerations for a two-dimensional traction problem

J. N. Flavin, R. J. Knops

Research output: Contribution to journalArticle

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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Convexity
Strip
Generalized Convexity
Plane Stress
Decay Estimates
Elastic Material
Equilibrium State

Cite this

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Some convexity considerations for a two-dimensional traction problem. / Flavin, J. N.; Knops, R. J.

In: ZAMP Zeitschrift für angewandte Mathematik und Physik, Vol. 39, No. 2, 03.1988, p. 166-176.

Research output: Contribution to journalArticle

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