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

Samaneh Fooladi, Tribikram Kundu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish (US)
Title of host publicationHealth Monitoring of Structural and Biological Systems 2017
EditorsTribikram Kundu
PublisherSPIE
ISBN (Electronic)9781510608252
DOIs
StatePublished - 2017
EventHealth Monitoring of Structural and Biological Systems 2017 - Portland, United States
Duration: Mar 26 2017Mar 29 2017

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume10170
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Other

OtherHealth Monitoring of Structural and Biological Systems 2017
CountryUnited States
CityPortland
Period3/26/173/29/17

Keywords

  • Anisotropic material
  • DPSM
  • Green's function
  • Ultrasonic waves

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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