A generalized approach for efficient finite element modeling of elastodynamic scattering in two and three dimensions.
A generalized approach for efficient finite element modeling of elastodynamic scattering in two and three dimensions.
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DOI：
10.1121/1.3467775
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发表时间：
2010-09
期刊：
影响因子：
--
通讯作者：
A. Velichko;P. Wilcox
中科院分区：
文献类型：
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作者：
A. Velichko;P. Wilcox
提出了一种稳健且有效的技术，用于预测一般各向异性介质中任意形状缺陷的远场散射行为，该技术可以在商业有限元包中实现。缺陷周围的建模域的空间尺寸尽可能小，以最小化计算费用并执行最少数量的模型。该方法基于均匀各向异性介质中波场的积分表示。通过在包围散射体的表面上的节点处施加适当的力来激发平面入射模式。在同心面上的监测节点测量散射波场，然后分解为不同方向上不同模式的远场散射幅度。给出了各向同性材料中 2D 和 3D 体波散射以及导波散射的示例结果。通过多种方式检查建模精度，包括与解析解的比较和能量平衡的计算。
A robust and efficient technique for predicting the far-field scattering behavior for an arbitrarily-shaped defect in a generally anisotropic medium is presented that can be implemented in a commercial FE package. The spatial size of the modeling domain around the defect is as small as possible to minimize computational expense and a minimum number of models are executed. The method is based on an integral representation of a wave field in a homogeneous anisotropic medium. A plane incident mode is excited by applying suitable forces at nodes on a surface that encloses the scatterer. The scattered wave field is measured at monitoring nodes on a concentric surface and then decomposed into far-field scattering amplitudes of different modes in different directions. Example results for 2D and 3D bulk wave scattering in isotropic material and guided wave scattering are presented. Modeling accuracy is examined in various ways, including a comparison with the analytical solutions and calculation of the energy balance.