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The purpose of the research is to investigate the better expression of stress intensity factor for simulating the stress behavior near the interface crack tip by establishing multi- region Boundary Element Method (BEM) program, and to discuss the energy release ratio, contact zone, and the oscillation of stress near crack tip. First, based on the Rice's theory, we derive the expressions the stress intensity factor of stress and displacement formulae. Next, we establish the muti-region BEM program to get the numerical solutions of the stress the interface crack tips of two-dimensional body. This research is purposed to investigate the suitability of mode-I, mode-II, and overall stress intensity factors on the interface crack problems by using a bimaterial elastic body subjected to biaxial tension and pure shear. The results show that the error of mode-I and overall stress intensity factors are in the acceptable range. Whereas, the error of mode-II stress intensity factor is relatively much bigger.
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