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力学学报 2000
CURVED RIGID LINE ACROSS A BOUNDARY OF ANTIPLANE CIRCULAR INCLUSION
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Abstract:
Applying complex variable function method and superposition principle, the weakly singular integral equation to solve the problem of the curved rigid line crossing the boundary of the antiplane circular inclusion is obtained. By virtue of principal part analysis method for the Cauchy type integral equation, the singular stress index at the intersecting point and the singular stress of different angular region near the intersecting point are obtained. The stress singular coefficient at the intersecting point is defined in terms of singular stress. By the obtained singular stress index, the interpolation formulas for the unknown function of the weakly singular integral equation are established. Solving the weakly singular integral equations numerically, the stress singular coefficient at the end points of the rigid line and intersecting point can be yielded.