Abstract
In this study, a theoretical method is applied to investigate the multiple scattering of flexural waves from two cylindrical inclusions and dynamic stress in a semi-infinite thin plate, and the roller-supported boundary at the semi-infinite edge is considered. A computationally efficient approach utilizing the wave expansion method together with the image method is employed to formulate the problem. The addition theorem for Bessel functions is employed to accomplish the translation of wave fields between different local coordinate systems. The scattered far field amplitudes of the two inclusions are presented. Through numerical examples and analyses, it is found that the angular distribution of the dynamic stress around the inclusions shows a great difference when the positions of two inclusions vary. The effects of the elastic modulus, density, Poisson’s ratio of the inclusions on the dynamic stress are closely related to the distance between the inclusions and the semi-infinite edge and the distance between the two inclusions. The thickness and Poisson’s ratio of the inclusions show little effect on the dynamic stress. Comparisons with other existing models are also discussed.
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