Asymptotic models of dilute composites with imperfectly bonded inclusions

The asymptotic scheme for the analysis of dilute elastic composites, which includes circular inclusions with imperfect bonding at the interface is presented. Interface is characterized by a discontinuous displacement field across it, linearly related to the tractions. The problem of a linear-elastic, circular inclusion with generic loading condition at infinity is solved, and used to analyze effective elastic moduli of composite materials. Effects due to the interaction of a small circular defect and a crack are investigated. It is shown that interfacial stiffness has a strong effect on the crack path and therefore may be an important design parameter for composites. © 1998 Elsevier Science Ltd. All rights reserved