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A COUPLING METHOD OF BOUNDARY ELEMENT METHOD AND GENERALIZED RAY THEORY FOR ELASTIC WAVE SCATTERING IN A THICK PLATE

机译:厚板弹性波散射的边界元方法与广义射线理论的耦合

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This paper presents a method for 3D elastic wave scattering analysis by an obstacle in a thick plate. The method is a coupling method of the boundary element method (BEM) and the generalized ray theory (GRT). For computational efficiency, the free field displacement in a plate is calculated by the GRT, and the solution is used as an incident field in the successive BEM analysis. The displacements or the tractions on the surface of the scattering object are obtained by the BEM. The boundary values obtained thus are then substituted into the integral expression of the scattered waves, in which the Green's functions are evaluated by the GRT to reduce computational cost further. As a numerical example, the scattering by a spherical cavity embedded in a plate is solved. The numerical results are shown for displacement waveforms as a function of time at points on the cavity and plate surface. Through the numerical example, benefit of the proposed method is discussed.
机译:本文提出了一种通过厚板中的障碍物进行3D弹性波散射分析的方法。该方法是边界元方法(BEM)和广义射线理论(GRT)的耦合方法。为了提高计算效率,通过GRT计算板中的自由场位移,并将该解用作后续BEM分析中的入射场。散射物体表面上的位移或牵引力是通过BEM获得的。然后将由此获得的边界值代入散射波的积分表达式中,其中GRT对格林函数进行了评估,以进一步降低计算成本。作为数值示例,解决了由嵌入板中的球形腔造成的散射。示出了在腔和板表面上的点处位移波形随时间变化的数值结果。通过数值算例,讨论了该方法的优点。

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