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In this paper the plane elasticity problem of two bonded orthotropic infinite strips containing collinear cracks perpendicular to the interface is considered. By extending the cracks to the boundaries and to the interface the problem of a crack terminating at an interface and the free edge problem are addressed. An asymptotic analysis of the kernels of the related integral equations reveals that the stresses may display a singular behaviour at the intersection of the edge and the interface. Determination of these singularities and the stress intensity factors associated with them for various material pairs and thickness ratios is the main purpose of this study. For a crack terminating at or crossing the interface it is shown that the singularity depends on two material and three bimaterial parameters. A number of numerical examples are presented for some material pairs and different crack configurations.
Orthotropic layers, Interface, Crack, Singular Integral Equations
Graduate Student, Lehigh University, Bethlehem, PA
Professor, Lehigh University, Bethlehem, PA