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A 3D semi-analytical model to predict the behavior of ultrasonic bounded beam traveling in cylindrical solid bar embedded in a solid matrix.

  • S. YaacoubiEmail author
  • L. Laguerre
  • E. Ducasse
  • M. Deschamps
Part of the Springer Proceedings in Physics book series (SPPHY, volume 128)

Abstract

A 3D semi-analytical model for predicting the behaviour of ultrasonic bounded beam travelling in cylindrical solid bar is presented. The bar is embedded in a solid matrix and the beam is emitted by an off-axis source for generating nonaxisymmetric waves. Fourier series and Vector Hankel transform are combined to decompose the inside field into infinity of elementary cylindrical waves propagating into radial direction and planar waves propagating in axial direction. Global resolution method and Generalized Debye Series Expansion (GDSE) are used both to calculate the global reflection/transmission coefficients. A numerical model is implemented to demonstrate the validity of the present theoretical solution for predicting velocity signatures.

Keywords

Dispersion Curve Discrete Fourier Transform Cylindrical Wave Dispersion Diagram Axisymmetric Wave 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • S. Yaacoubi
    • 1
    Email author
  • L. Laguerre
    • 1
  • E. Ducasse
    • 2
  • M. Deschamps
    • 2
  1. 1.Laboratoire Central des Ponts et Chaussées Centre de Nantes, Route de Bouaye, BP 4129Bouguenais CedexFrance
  2. 2.Laboratoire de Mécanique PhysiqueUniversité de Bordeaux, UMR C.N.R.S. 5469Talence CedexFrance

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