Skip to main content
SpringerLink
Log in

Acoustic Wave Scattering from a Circular Crack: Comparison of Different Computational Methods

  • Conference paper
Review of Progress in Quantitative Nondestructive Evaluation

Part of the book series: Review of Progress in Quantitative Nondestructive Evaluation ((RPQN,volume 6 A))

  • 42 Accesses

Abstract

This work was motivated by a disagreement between the results obtained from two computations of scattering of an axially incident elastic p-wave on a circular crack. One calculation, using the method of Mai [1], involving the direct solution of the Helmholtz integral equation for this case, shows the total cross-section oscillating with a considerable amplitude about σtot = 27πa2 as a function of kRa with period π, where kR = 2π/λR 2 is the Rayleigh surface wavenumber.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
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. A. K. Mal, Int. J. Eng. Sci. 8, 381 (1970).

    Article  MATH  Google Scholar 

  2. Jon L. Opsal and William M. Visscher, J. Appl. Phys. 58, 1102 (1985).

    Article  Google Scholar 

  3. M. Abramowitz and I. A. Stegun, “Handbook of Mathematical Functions,” (National Bureau of Standards, 1964 ).

    Google Scholar 

  4. Gerhard Kristensson and P. C. Waterman, J. Acoust. Soc. Am. 72, 1612 (1982).

    Article  MATH  MathSciNet  Google Scholar 

  5. William M. Visscher, unpublished.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Theoretical Division, MS B262, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    William M. Visscher

Authors
  1. William M. Visscher
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Ames Laboratory (USDOE), Iowa State University, Ames, Iowa, USA

    Donald O. Thompson

  2. Materials Laboratory Air Force Wright Aeronautical Laboratories, Wright-Patterson Air Force Base, Dayton, Ohio, USA

    Dale E. Chimenti

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer Science+Business Media New York

About this paper

Cite this paper

Visscher, W.M. (1987). Acoustic Wave Scattering from a Circular Crack: Comparison of Different Computational Methods. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Review of Progress in Quantitative Nondestructive Evaluation, vol 6 A. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1893-4_8

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-1893-4_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9054-4

  • Online ISBN: 978-1-4613-1893-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation