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Stress intensity factors for cracks of arbitrary shape near an interfacial boundary
Affiliation:1. School of Civil Engineering & Institute of Mechanics and Technology, Xi''an University of Architecture and Technology, Xi''an 710055, Shaanxi, China;2. School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China
Abstract:Modes I, II and III stress intensity factors for a crack of arbitrary planar shape near a bimaterial interface are calculated. The solution utilizes the body-force method and requires Green's functions for perfectly bonded elastic half-spaces. The formulation leads to a system of two-dimensional singular integral equations whose solutions represent the three modes of crack opening displacement. Numerical examples of a semicircular or semielliptical crack terminating at the interface and circular or elliptical cracks contained in one material are given for both internal pressure and farfield tension.
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