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

Samaneh Fooladi; Tribikram Kundu

doi:10.1117/12.2258573

5 April 2017 Application of distributed point source method (DPSM) to wave propagation in anisotropic media

Samaneh Fooladi, Tribikram Kundu

Proceedings Volume 10170, Health Monitoring of Structural and Biological Systems 2017; 101700P (2017) https://doi.org/10.1117/12.2258573
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2017, Portland, Oregon, United States

Abstract

Distributed Point Source Method (DPSM) was developed by Placko and Kundu¹, 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.

Citation Download Citation

Samaneh Fooladi and Tribikram Kundu "Application of distributed point source method (DPSM) to wave propagation in anisotropic media", Proc. SPIE 10170, Health Monitoring of Structural and Biological Systems 2017, 101700P (5 April 2017); https://doi.org/10.1117/12.2258573

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