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力学学报  2003 

SCATTERING OF SH WAVE BY A CRACK INSIDE A CIRCULAR INCLUSION
圆夹杂内裂纹对SH波的动力响应

Keywords: crack,circular inclusion,SH wave,hypersingualr integral equation,dynamic stress intensity factor
圆夹杂
,裂纹,SH波,复合材料,弹性波,动力响应,超奇异积分方程,动应力强度因子,Graf加法公式,波函数展开方法

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Abstract:

Using the Graf formula of Bessel function and wave function expansion method, the Green function of a point force applied inside of a circular inclusion is established. In terms of the asymptotic property of Bessel function, the obtained Green function is separated into a singular part and a regular part. Using the obtained Green function and the reciprocity principle, the scattered field of the crack is available. The hypersingualr integral equation of the crack can be constructed through the scattered field of the crack. Numerical solution of the hypersingular integral equation yields the dynamic stress intensity factor at the crack tips.

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