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各向异性介质的弹性波散射问题的边界元方法
引用本文:钟伟芳 林青. 各向异性介质的弹性波散射问题的边界元方法[J]. 固体力学学报, 1992, 13(3): 214-224
作者姓名:钟伟芳 林青
作者单位:华中理工大学,701所 430074 武汉,430074 武汉
摘    要:
本文引用加权残数法建立了各向异性介质内含任意形式异质夹杂时的散射问题的边界积分方程式,导出了相应的辐射条件,计算了内含圆柱体,椭圆柱体、界面裂纹情形下对SH 波的散射位移场、应力场以及散射横截面.数值结果表明本方法用于解答各向异性介质的弹性波散射问题具有良好的精度和应用前景.

关 键 词:各向异性介质 弹性波 散射场

A BOUNDARY ELEMENT METHOD TO SCATTERING OF ELASTIC WAVE FOR ANISOTROPIC MEDIUM
Zhong Weifang. A BOUNDARY ELEMENT METHOD TO SCATTERING OF ELASTIC WAVE FOR ANISOTROPIC MEDIUM[J]. Acta Mechnica Solida Sinica, 1992, 13(3): 214-224
Authors:Zhong Weifang
Abstract:
In this paper,scattering problems for anisotropic medium are studied by integral equation method.The boundary integral equation for the scattered displacement field associated with finiteinhomogeneities in anisotropic medium are derived with the help of the weighted residuals method.Thediscretization of BIE is based upon constant element,linear element,and quadratic element.Based onthem,the scattering displacement,stress and differential cross section in an infinite homogeneousanisotropic medium with a elastic cylinder,an interface crack and two ellipse elastic cylinders are calcu-lated.The results show that the present method can be advantageously applied to a wide range of scat-tering problems of elastic waves.
Keywords:anisotropic medium  elastic wave  scattering field  boundary integral equation
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