Numerical Simulation of Elastic Wave Scattering from Three-Dimensional Axisymmetric Surface Features

  • Peter H. Albach
  • Leonard J. Bond
Part of the Review of Progress in Quantitative Nondestructive Evaluation book series


Due to more intensive use of civil and military aircraft there are growing demands for accurate and reliable methods in non-destructive testing. One of the areas receiving specific attention is the detection and characterisation of corrosion [1]. The study presented here is concerned with the scattering of ultrasound waves from an isolated corrosion pit on the remote side of a thick aluminium plate. The corrosion pit is represented by a three-dimensional hemispherical surface indentation of radius a in an elastic half-space, and the wave field generated by an ultrasonic transducer is assumed to be a time harmonic plane wave incident on to the surface feature at an arbitrary angle, see Fig. 1. The scattering problem is solved by means of a boundary method, and the surface displacements in the vicinity of the scatterer and the scattered far-field components are represented for compressional waves incident at 60 degrees and shear waves normally incident on to the surface obstacle. The diameter of the surface indentation can vary between the fraction of a wavelength and two wavelengths. The results shown here were calculated for 2a/λ = 0.5 and 1.0.


Rayleigh Wave Surface Displacement Boundary Method Surface Disturbance Scalar Wave Equation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    R. E. Beissner and A. S. Birring, Nondestructive Evaluation Methods for Characterizeration of Corrosion, State of the Art Review, Nondestructive Testing Information Analysis Center, Southwest Research Institute, San Antonio, Texas, December 1988Google Scholar
  2. 2.
    Francisco J. Sanchez-Sesma, Diffraction of Elastic Waves by Three-Dimensional Surface Irregularities, Bull. Seism. Soc. Am., 73, pp 1621–1636, December 1983Google Scholar
  3. 3.
    Philip M. Morse and Herman Feshbach, Methods of Theoretical Physics, Part II, McGraw-Hill Book Company, New York, Toronto, London, 1953Google Scholar
  4. 4.
    Charles L. Lawson and Richard J Hanson, Solving Least Squares Problems, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1974Google Scholar
  5. 5.
    Yih-Hsing Pao and Chao-Chow Mow, Diffraction of Elastic Waves and Dynamic Stress Concentration, Adam Hilger Ltd, London, 1973Google Scholar
  6. 6.
    Fransico J. Sanchez-Sesma, Site effects on strong ground motion, Soil Dynamics and Earthquake Engineering, 6, pp 124–132, 1987CrossRefGoogle Scholar
  7. 7.
    Peter H. Albach and Leonard J. Bond, Three-Dimensional Numerical Simulation of Elastic Body Waves Scattered from a Half-Space with Hemispherical or Shallow Surface Indentations, Proceedings of the IUTAM Symposium on Elastic Wave Propagation and Ultrasonic NDE, Elsevier Science Publishers, (to be published)Google Scholar

Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Peter H. Albach
    • 1
  • Leonard J. Bond
    • 1
  1. 1.NDE Centre Department of Mechanical EngineeringUniversity College LondonLondonUK

Personalised recommendations