Some convexity considerations for a two-dimensional traction problem
type: Item
instance of: scholarly article
title: Some convexity considerations for a two-dimensional traction problem
zbMATH Open document ID: 0644.73025
DOI: 10.1007/BF00945763
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1988-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74B10
Mathematics Subject Classification ID: 34A40
Mathematics Subject Classification ID: 26B25
zbMATH DE Number: 4051094
zbMATH Keywords: conservation laws
zbMATH Keywords: rectangular strip
zbMATH Keywords: homogeneous, isotropic, elastic material
zbMATH Keywords: equilibrium state of plane stress
zbMATH Keywords: cross-sectional measures of stress
zbMATH Keywords: generalized convexity property
zbMATH Keywords: explicit decay estimate
zbMATH Keywords: semi- infinite strip
zbMATH Keywords: self-equilibrated load
author: J. N. Flavin
author: R. J. Knops
MaRDI profile type: Publication
cites work: Conservation laws in elasticity. I: General results
cites work: On Knowles' version of Saint-Venant's principle in two-dimensional elastostatics
cites work: Recent Developments Concerning Saint-Venant's Principle
cites work: Q5533735
full work available at URL: https://doi.org/10.1007/bf00945763
OpenAlex ID: W1966367959
description: scientific article; zbMATH DE number 4051094