The sliding inclusion under shear
type: Item
instance of: scholarly article
title: The sliding inclusion under shear
zbMATH Open document ID: 0625.73016
DOI: 10.1016/0020-7683(87)90003-5
author: Jianyong Qiao
author: Sumit K. Garg
published in: International Journal of Solids and Structures
publication date: 1987-01-01T00:00:00Z
review text: The elastic fields due to a spheroidal inclusion, which undergoes constant shear eigenstrains and a spheroidal inhomogeneity under uniform shear stress applied at infinity are investigated. The interface between the material and the spheroid allows free sliding (cannot sustain shear tractions). The Papkovich-Neuber displacement potentials in the form of infinite series are used in the analysis. The dependence of stresses and displacements on the shear moduli ratio, Poisson's ratio and the shape of the subdomain is analyzed. It is discovered that stresses in the sliding spheroidal subdomain are not uniform, unlike the perfectly bonded inclusion solution where Eshelby's result holds. The applications to the evaluation of average elastic properties of the composites with sliding interfaces are also investigated and it is observed that sliding causes relaxation of the elastic moduli.
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 4016294
zbMATH Keywords: spheroidal inclusion
zbMATH Keywords: constant shear eigenstrains
zbMATH Keywords: spheroidal inhomogeneity
zbMATH Keywords: uniform shear stress
zbMATH Keywords: free sliding
zbMATH Keywords: Papkovich-Neuber displacement potentials
zbMATH Keywords: infinite series
MaRDI profile type: Publication
full work available at URL: 0020-7683(87)90003-5
OpenAlex ID: W2000755851
description: scientific article; zbMATH DE number 4016294