Skip to main content

Abstract

This work is part of a continuing effort to develop a capability for quantifying the scattering of ultrasonic waves by arbitrarily shaped flaws. The general problem of elastodynamic behavior of a homogeneous, isotropic defect in an otherwise homogeneous, isotropic fullspace is cast as a Boundary Integral Equation (BIE). A general scattering model is needed to provide information for probability of detection (POD) models and inversion schemes for cases when low or high frequency approximations are not appropriate. Previously the Boundary Element Method (BEM), a method for solving the BIE, was adapted to NDE and the void problem was investigated [1]. Here we focus on the inclusion problem, experimental verification, and to overall extensions of the capability.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. J. Schafbuch, R. B. Thompson, F. J. Rizzo, and T. J. Rudolphi in Review of Progress in Quantitative NDE, edited by D. O. Thompson and D. E. Chimenti (Plenum Press, New York, 1989 ), Vol. 8A, pp. 15–22

    Google Scholar 

  2. F. J. Rizzo, D. J. Shippy and M. Rezayat, Int. J. Numer. Methods Eng. 21, 1985, pp. 115–129

    Article  Google Scholar 

  3. M. Rezayat, F. J. Rizzo, and D. J. Shippy, Comp. Meth. Appl. Mech. 55, 1986, pp. 173–179

    Article  Google Scholar 

  4. R. J. Blake and L. J. Bond, to appear in Review of Progress in Quantitative NDE edited by D. O. Thompson and D. E. Chimenti ( Plenum Press, New York, 1990 )

    Google Scholar 

  5. Z. You and W. Lord, to appear in Review of Progress in Quantitative NDE, edited by D. O. Thompson and D. E. Chimenti ( Plenum Press, New York, 1990 )

    Google Scholar 

  6. D. A. Anderson etal., Computational Fluid Mechanics and Heat Transfer ( Hemisphere, New York, 1984 )

    MATH  Google Scholar 

  7. I. R. Gonsalves, D. J. Shippy and F. J. Rizzo, to appear in Comput. Math. Applic.

    Google Scholar 

  8. D. K. Hsu, J. H. Rose, and D. O. Thompson, J. Appl. Phys. 55 (1), 1984, pp. 162–168

    Article  Google Scholar 

  9. V. K. Varadan and V. V. Varadan, J. Acoust. Soc. Am 65 (4), 1979, pp. 896–905

    Article  MATH  Google Scholar 

  10. R. B. Thompson and T. A. Gray, J Acoust. Soc. Am. 74 (4), 1983, pp. 1279–1290

    Article  Google Scholar 

  11. B. R. Tittman, in Proceedings of the ARPAJAFML Review of Progress in Quantitative NDE. AFML-TR-77–44, 1977, pp. 173–179

    Google Scholar 

  12. C. C. Bampton, in Review of Progress in Quantitative NDE, edited by D. O. Thompson and D. E. Chimenti ( Plenum Press, New York, 1982 ), Vol. 1, pp. 315–319

    Google Scholar 

  13. Sample “B”, a 3-axis ellipsoid of copper in Lucite, was provided by D. K. Hsu from Iowa State University Center for NDE.

    Google Scholar 

  14. G. T. Schuster, J. Acoust. Soc. Am. 77 (3), 1985, pp. 865–886

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer Science+Business Media New York

About this chapter

Cite this chapter

Schafbuch, P.J., Thompson, R.B., Rizzo, F.J., Rudolphi, T.J. (1990). Elastic Wave Scattering by Irregular Shaped Flaws. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Review of Progress in Quantitative Nondestructive Evaluation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5772-8_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-5772-8_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5774-2

  • Online ISBN: 978-1-4684-5772-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics