Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (6): 779-786 .doi: https://doi.org/10.1007/s10483-008-0609-1
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ZHAO Jia-xi, QI Hui, SU Sheng-wei
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Abstract: Scattering of SH wave from an interface cylindrical elastic inclusion with a semicircular disconnected curve is investigated. The solution of dynamic stress concentration factor is given using the Green's function and the method of complex variable functions. First, the space is divided into upper and lower parts along the interface. In the lower half space, a suitable Green's function for the problem is constructed. It is an essential solution of the displacement field for an elastic half space with a semi-cylindrical hill of cylindrical elastic inclusion while bearing out-plane harmonic line source load at the horizontal surface. Thus, the semicircular disconnected curve can be constructed when the two parts are bonded and continuous on the interface loading the undetermined anti-plane forces on the horizontal surfaces. Also, the expressions of displacement and stress fields are obtained in this situation. Finally, examples and results of dynamic stress concentration factor are given. Influences of the cylindrical inclusion and the difference parameters of the two mediators are discussed.
2010 MSC Number:
O347.3
73J20
ZHAO Jia-xi;QI Hui;SU Sheng-wei. Scattering of SH-waves from interface cylindrical elastic inclusion. Applied Mathematics and Mechanics (English Edition), 2008, 29(6): 779-786 .
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URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-008-0609-1
https://www.amm.shu.edu.cn/EN/Y2008/V29/I6/779