Abstract
In this article we study the effects of imperfect bonding on stress intensity factors (SIFs) calculated at a radial matrix crack in a fiber (inclusion) composite subjected to thermal loading. We use analytic continuation to extend existing series methods to obtain series representations of deformation and stress fields in both the inclusion and the surrounding matrix in the presence of the crack. The interaction between the crack and the inclusion is demonstrated numerically for different elastic materials, geometries, and varying degrees of bonding (represented by imperfect interface parameters) at the interface. The results show that, generally, SIF decreases monotonically with the interface imperfection at both nearby and distant crack tips. The sliding and nonslipping interfaces have a relatively small effect on the reduction of thermal stresses-induced SIF as compared to a general imperfect interface. Therefore, the pronounced effect of the imperfect fiber-matrix bond on the thermal stresses-assisted SIF at the crack tips should not be ignored.
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