SH‐wave propagation in a continuously inhomogeneous half‐plane with free‐surface relief by BIEM
SH‐wave propagation in a continuously inhomogeneous half‐plane with free‐surface relief by BIEM
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DOI：
10.1002/zamm.201300198
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发表时间：
2015-07
期刊：
影响因子：
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通讯作者：
F. Wuttke;I. Fontara;P. Dineva;T. Rangelov
中科院分区：
文献类型：
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作者：
F. Wuttke;I. Fontara;P. Dineva;T. Rangelov
研究了时谐SH波作用下具有自由表面起伏的连续非均匀半平面的反平面应变弹性动力学问题。计算工具是边界积分方程法（BIEM），基于解析推导的深度二次非均匀半平面的绿色函数。为了显示所提出的BIE方法的通用性，考虑SH波在具有半圆形、半椭圆形和三角形峡谷的自由表面起伏的非均匀半平面中的传播。采用两种不同的方式模拟深度非均匀半平面：（i）材料性质在深度上连续变化，使用基于绿色函数的BIEM;（ii）材料性质以离散方式变化，半平面由一组具有水平界面的均匀层表示，应用基于波数积分法（WNIM）和BIEM的混合技术。这两个不同的模型的等价性。模拟结果显示，波场对材料不均匀性有显著的依赖性，而基于半平面绿色函数的BIEM与传统的全平面基本解边界元技术相比，可以使用大幅减少的离散网格来产生高精度的结果。
The anti‐plane strain elastodynamic problem for a continuously inhomogeneous half‐plane with free‐surface relief subjected to time‐harmonic SH‐wave is studied. The computational tool is a boundary integral equation method (BIEM) based on analytically derived Green's function for a quadratically inhomogeneous in depth half‐plane. To show the versatility of the proposed BIE method, it is considered SH‐wave propagation in an inhomogeneous half‐plane with free surface relief presented by a semi‐circle, semi‐elliptic and triangle canyon. The inhomogeneous in depth half‐plane is modeled in two different ways: (i) the material properties vary continuously in depth and BIEM based on Green's function is used; (ii) the material properties vary in a discrete way and the half‐plane is presented by a set of homogeneous layers with horizontal interfaces and a hybrid technique based on wave number integration method (WNIM) and BIEM is applied. The equivalence of these two different models is shown. The simulations reveal a marked dependence of the wave field on the material inhomogeneity and the potential of the BIEM based on the Green's function for half‐plane to produce highly accurate results by using strongly reduced discretization mesh in comparison with the conventional boundary element technique using fundamental solution for the full plane.