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Application of distributed point source method (DPSM) to wave propagation in anisotropic media

机译:分布式点源法在各向异性介质中波传播中的应用

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摘要

Distributed Point Source Method (DPSM) was developed by Placko and Kundu 1, as a technique for modeling electromagnetic and elastic wave propagation problems. DPSM has been used for modeling ultrasonic, electrostatic and electromagnetic fields scattered by defects and anomalies in a structure. The modeling of such scattered field helps to extract valuable information about the location and type of defects. Therefore, DPSM can be used as an effective tool for Non-Destructive Testing (NDT). Anisotropy adds to the complexity of the problem, both mathematically and computationally. Computation of the Green's function which is used as the fundamental solution in DPSM is considerably more challenging for anisotropic media, and it cannot be reduced to a closed-form solution as is done for isotropic materials. The purpose of this study is to investigate and implement DPSM for an anisotropic medium. While the mathematical formulation and the numerical algorithm will be considered for general anisotropic media, more emphasis will be placed on transversely isotropic materials in the numerical example presented in this paper. The unidirectional fiber-reinforced composites which are widely used in today's industry are good examples of transversely isotropic materials. Development of an effective and accurate NDT method based on these modeling results can be of paramount importance for in-service monitoring of damage in composite structures.
机译:分布式点源方法(DPSM)由Placko和Kundu 1开发,是一种用于建模电磁波和弹性波传播问题的技术。 DPSM已用于对由结构中的缺陷和异常散射的超声,静电和电磁场进行建模。这种散布场的建模有助于提取有关缺陷位置和类型的有价值的信息。因此,DPSM可以用作无损检测(NDT)的有效工具。各向异性在数学和计算上都增加了问题的复杂性。对于各向异性介质,用作DPSM基本解决方案的格林函数的计算要困难得多,并且不能像各向同性材料那样将其简化为封闭形式的解决方案。这项研究的目的是研究和实现各向异性介质的DPSM。虽然一般各向异性介质将考虑数学公式和数值算法,但在本文提供的数值示例中,将更加注重横向各向同性的材料。在当今工业中广泛使用的单向纤维增强复合材料是横向各向同性材料的很好例子。基于这些建模结果,开发有效而准确的无损检测方法对于在役复合材料损伤的监测至关重要。

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