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《Journal of Mechanical Strength》 2015-02
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ANTI-PLANE RESPONSES OF CIRCULAR CAVITY IN INFINITE BAND DOMAIN

SHI WenPu;GAO YiTao;School of Mechatronics and Automobile Engineering,Yantai University;Key Laboratory of Advanced Manufacturing and Control Technology in Universities of Shandong,Yantai University;  
The elastic wave scattering problem of circular cavity in infinite band domain has no been solved because of the existence of the two straight line boundaries which can only be solved with the help of numerical method before.In this paper,complex function method and virtual source method and Graf addition formulae are used to study this problem and the analytical solution of the scattering waves can be given,which can satisfy the stress free boundaries of the two boundaries,the unknown coefficients in the scattering wave functions can be obtained by using the boundary condition of the circular cavity and Fourier series expansion technology,then the wave fields of the band domain can be determined,the results of the given numerical example about the dynamical stress concentration factors on the circular cavity boundary show the rightness of the conclusions and the algebraic.
【Fund】: 山东省科技攻关项目(2012G0030011);; 国家青年基金项目(11202179)资助~~
【CateGory Index】: O347.41
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