Author(s)

K. Kim & L.S. Sudak

Abstract

The solution for the elastic three-phase circular inclusion problem plays a fundamental role in many practical and theoretical applications. In particular, it offers the fundamental solution for the generalized self-consistent method in the mechanics of composites materials. In this paper, a general method is presented for evaluating the interaction between a pre-existing matrix crack and a threephase circular inclusion. The bonding at the inclusion-interphase interface is considered to be the sliding imperfect interface. Physically, this is important for modelling certain features of material behaviour (such as grain-boundary sliding and damage occurring in the circumferential direction at constituent interfaces). On the remaining boundary, that being the interphase-matrix interface, the bonding

Keywords