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力学学报  2000 

CURVED RIGID LINE ACROSS A BOUNDARY OF ANTIPLANE CIRCULAR INCLUSION
穿过反平面圆形夹杂界面的曲线型刚性线

Keywords: antiplane,circular inclusion,curved rigid line,stress singular coefficient
反平面
,圆型夹杂,刚性线,应力奇异因子,界面

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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.

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