Efficient computation of dispersion curves for multilayered waveguides and half-spaces

被引:21
作者
Astaneh, Ali Vaziri [1 ]
Guddati, Murthy N. [1 ]
机构
[1] N Carolina State Univ, Dept Civil Engn, Raleigh, NC 27695 USA
基金
美国国家科学基金会;
关键词
Guided waves; Surface waves; Layered media; Dispersion curve; Thin layer method; Perfectly matched layers; ABSORBING BOUNDARY-CONDITIONS; SURFACE-WAVE; RAYLEIGH-WAVE; VELOCITY; INVERSION;
D O I
10.1016/j.cma.2015.11.019
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Motivated by the need to compute dispersion curves for layered media in the contexts of geophysical inversion and nondestructive testing, a novel discretization approach, termed complex-length finite element method (CFEM), is developed and shown to be more efficient than the existing finite element approaches. The new approach is exponentially convergent based on two key features: unconventional stretching of the mesh into complex space and midpoint integration for evaluating the contribution matrices. For modeling the layered half-spaces of infinite depth, we couple CFEM with the method of perfectly matched discrete layers (PMDL) to minimize the errors due to mesh truncation. A number of numerical examples are used to investigate the efficiency of the proposed methods. It is shown that the suggested combination of CFEM and PMDL drastically reduces the number of elements, while requiring minor modifications to the existing finite element codes. It is concluded that the methods' exponential convergence and sparse computation associated with linear finite elements, result in significant reduction in the overall computational cost. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:27 / 46
页数:20
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