A CIRCULAR INCLUSION WITH IMPERFECT INTERFACE - ESHELBYS TENSOR AND RELATED PROBLEMS

Authors
Citation
Zj. Gao, A CIRCULAR INCLUSION WITH IMPERFECT INTERFACE - ESHELBYS TENSOR AND RELATED PROBLEMS, Journal of applied mechanics, 62(4), 1995, pp. 860-866
Citations number
21
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanics
ISSN journal
0021-8936
Volume
62
Issue
4
Year of publication
1995
Pages
860 - 866
Database
ISI
SICI code
0021-8936(1995)62:4<860:ACIWII>2.0.ZU;2-B
Abstract
Eshelby's tensor for an ellipsoidal inclusion with perfect bonding at interface has proven to have a far-reaching influence on the subsequen t development of micromechanics of solids. However, the condition of p erfect interface is often inadequate in describing the physical nature of the interface for many materials in various loading situations. In this paper Airy stress functions are used to derive Eshelby's tensor for a circular inclusion with imperfect interface. The interface is mo deled as a spring layer with vanishing thickness. The normal and tange ntial displacement discontinuities at the interface are proportional t o the normal and shear stresses at the interface. Unlike the case of t he perfectly bonded inclusion, the Eshelby's tensor is, in general, no r constant for an inclusion,vith the spring layer interface. The norma l stresses are dependent on the shear eigenstrain. A closed-form solut ion for a circular inclusion with imperfect interface under general tw o-dimensional eigenstrain and uniform tension is obtained. The possibl e normal displacement overlapping at the interface is discussed. The c onditions for nonoverlapping are established.