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Boundary integral methods for elastic layered media

机译:弹性分层介质的边界积分方法

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摘要

Green's tensors are determined for a point force in layered horizontally homogeneous solid media at fixed horizontal wavenumber k due to a Fourier-Bessel series expansion. The media may consist of an arbitrary mixture of solid layers, bounded by homogeneous half-spaces at both ends. A finite element technique is proposed for solving a resulting two-point ordinary differential equation (ODE) boundary value problem for the wavefield using either a variational form or a propagator matrix approach. A brief discussion of the boundary element method for elasticwave scattering from a bounded object using new Green's tensors is outlined.
机译:由于傅立叶贝塞尔系列膨胀,在固定水平波数k处确定绿色的张量在固定的水平波数k处确定分层水平均匀的固体介质。介质可以由固体层的任意混合物组成,通过两端的均匀半空间界定。提出了一种用于使用变分形式或传播矩阵方法求解波菲尔德的结果两点常微分方程(ODE)边值问题的有限元技术。概述了利用新的绿色张量的有界对象的弹性波散射的边界元方法。

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