A note on the slipping inclusion
type: Item
instance of: scholarly article
title: A note on the slipping inclusion
zbMATH Open document ID: 0713.73006
DOI: 10.1007/BF00045781
author: Naoshi Nishimura
published in: Journal of Elasticity
publication date: 1989-01-01T00:00:00Z
review text: The author proves the converse of Mura-Furuhashi's statement [\textit{T. Mura} and \textit{R. Furuhashi}, J. Appl. Mech. 51, 308-310 (1984; Zbl 0544.73018)] that a slipping ellipsoidal inclusion, if not degenerated, having a shear eigenstrain parallel to the axes of inclusion, produces no stress in the matrix or inclusion. According to the author, in the two- dimensional case, the converse of the above theorem is: if there exists a nonzero constant eigenstrain which produces a zero stress field in the matrix, the inclusion is a nondegenerate ellipse. For the three- dimensional case, the author shows that, as far as we concern the same matrix-inclusion system as Mura-Furuhashi's, there exists a uniform nonzero remote stress field which produces no stress in the inclusion.
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 4174415
zbMATH Keywords: slipping ellipsoidal inclusion of no degeneracy
zbMATH Keywords: converse of Mura- Furuhashi's statement
zbMATH Keywords: shear eigenstrain
reviewed by: Sitiro Minagawa
MaRDI profile type: Publication
cites work: The Elastic Inclusion With a Sliding Interface
description: scientific article; zbMATH DE number 4174415