An approximate elastic two-dimensional Green's function for a constant-gradient medium
An approximate elastic two-dimensional Green's function for a constant-gradient medium
复制标题
恒定梯度介质的近似弹性二维格林函数
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
K. Irikura
中科院分区：
文献类型：
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作者：
F. Sánchez;R. Madariaga;K. Irikura
概括
给出了恒定梯度传播速度介质的弹性二维格林函数的近似解析公式。这些解对应于每单位长度的单位线力：分别是反平面 SH 线源和面内 P-SV 线源。它们基于渐近射线理论，并考虑了近源效应和低频。所获得的解析表达式通过速度-应力交错网格的伪谱方法进行了测试。近似解析位移场和应力场与其数值对应场的一致性通常非常好。提出了相对误差的测量方法。
Summary
Approximate analytical formulae for elastic 2-D Green's functions for a constant-gradient propagation velocity medium are presented. These solutions correspond to unit line forces per unit length: the antiplane SH line source and the in-plane P–SV line sources, respectively. They are based on the asymptotic ray theory and account for both near-source effects and low frequencies. The analytical expressions obtained are tested by means of the pseudospectral method with a velocity–stress staggered grid. The agreement of the approximate analytical displacement and stress fields with their numerical counterparts is generally very good. A measure of relative error is proposed.