各向异性体对瞬态SH波散射问题的边界元方法
THE BOUNDARY ELEMENT METHOD FOR SCATTERING OF TRANSIENT WAVE FOR ANISOTROPIC MEDIUM
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摘要: 本文利用Fourier变换和加权残数法建立了正交各向异性体反平面瞬态波散射问题的边界积分方程,构造了在边界上能满足波动方程的边界元函数,它比常用的二次元和高次元具有较好的适应性。数值结果表明利用该形函数计算高频情形下的散射问题具有很高的精度。Abstract: A set of boundary integral equation (BIE) of transient waves scattering in an anisotropic medium is established by Fourier transformation and weighted residuals method, and an appropiate shape-function is also obtained in this paper. Several examples calculating the scattering displacement show that the method used for scattering high-frequency transient wave is effective.