ON THE EIGENSTRAIN PROBLEM OF A SPHERICAL INCLUSION WITH AN IMPERFECTLY BONDED INTERFACE

Authors
Citation
Z. Zhong et Sa. Meguid, ON THE EIGENSTRAIN PROBLEM OF A SPHERICAL INCLUSION WITH AN IMPERFECTLY BONDED INTERFACE, Journal of applied mechanics, 63(4), 1996, pp. 877-883
Citations number
23
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanics
ISSN journal
0021-8936
Volume
63
Issue
4
Year of publication
1996
Pages
877 - 883
Database
ISI
SICI code
0021-8936(1996)63:4<877:OTEPOA>2.0.ZU;2-C
Abstract
This article provides a comprehensive theoretical treatment of the eig enstrain problem of a spherical inclusion with an imperfectly bonded i nterface. Both tangential and normal discontinuities at the interface are considered and a linear interfacial condition, which assumes that the tangential and the normal displacement jumps are proportional to t he associated tractions, is adopted. The solution to the corresponding eigenstrain problem is obtained by combining Eshelby's solution for a perfectly bonded inclusion with Volterra's solution for an equivalent Somigliana dislocation field which models the interfacial sliding and normal separation. For isotropic materials, the Burger's vector of th e equivalent Somigliana dislocation is exactly determined; the solutio n is explicitly presented and its uniqueness demonstrated. If is found that the stresses inside the inclusion are not uniform, except for so me special cases.