End effects for plane deformations of an elastic anisotropic semi- infinite strip
type: Item
instance of: scholarly article
title: End effects for plane deformations of an elastic anisotropic semi- infinite strip
zbMATH Open document ID: 0833.73005
DOI: 10.1007/BF00042143
author: Cornelius O. Horgan
author: Kristin L. Miller
published in: Journal of Elasticity
publication date: 1996-02-26T00:00:00Z
review text: The authors study the end effects for plane deformations of an elastic anisotropic semi-infinite strip. In the linear theory of elasticity, the Saint-Venant's principle is used to justify the neglect of edge effects when determining the stresses in a body. For isotropic materials, the validity of this principle is well established. However, for anisotropic and composite materials, experimental results have shown that the edge effects may persist much farther into the material than for isotropic materials, and as a result, cannot be neglected. This paper further examines the effects of material anisotropy on exponentially decay rate for stresses in a semi-infinite elastic strip. This work is quite interesting and may find several readers working in the area of anisotropic elasticity.
reviewed by: Hilmi Demiray
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74G50
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 797085
zbMATH Keywords: exponentially decay rate
MaRDI profile type: Publication
cites work: Recent Developments Concerning Saint-Venant's Principle
cites work: Decay estimates for the biharmonic equation with applications to Saint-Venant principles in plane elasticity and Stokes flows
cites work: Saint-Venant’s Principle and End Effects in Anisotropic Elasticity
cites work: Asymptotic analysis of an end-loaded, transversely isotropic, elastic, semi-infinite strip weak in shear
cites work: Q3021749
cites work: The Eigenvalues for a Self-Equilibrated, Semi-Infinite, Anisotropic Elastic Strip
cites work: On Knowles' version of Saint-Venant's principle in two-dimensional elastostatics
cites work: An energy estimate for the biharmonic equation and its application to Saint-Venant's principle in plane elastostatics
cites work: Conservation properties for plane deformations of isotropic and anisotropic linearly elastic strips
cites work: Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip
cites work: The anisotropic elastic semi-infinite strip
cites work: Saint-Venant end effects for plane deformation of sandwich strips
full work available at URL: https://doi.org/10.1007/bf00042143
OpenAlex ID: W2059497780
description: scientific article; zbMATH DE number 797085