zbMATH — the first resource for mathematics

Asymptotic models of dilute composites with imperfectly bonded inclusions. (English) Zbl 0918.73042
Summary: We present an asymptotic scheme for analysis of dilute elastic composites, which include circular inclusions with imperfect bonding at the interface. 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.

74E30 Composite and mixture properties
74S30 Other numerical methods in solid mechanics (MSC2010)
Full Text: DOI