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力学学报 2003
SCATTERING OF SH WAVE BY A CRACK INSIDE A CIRCULAR INCLUSION
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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.