Scattering of Impact Wave by a Crack in Composite Plate

  • T. H. Ju
  • S. K. Datta


Ultrasonic waves provide an efficient means of characterizing defects in structures. For this purpose it is necessary to analyze scattering by such defects. However, scattering by crack-like defects in a plate-like structure is a complicated phenomenon and the problem is made more difficult if it is a composite plate. In recent years considerable progress has been made toward understanding wave propagation in anisotropic composite plates [1–5], but not much work has been done on the scattering by cracks in a composite plate. Recently Karim and Kundu [6] and Karim et al. [7] studied scattering of elastic waves in a layered half-space and in layered fiber-reiforced composite plates by interface cracks using a boundary integral formulation. They considered antiplane motions. Although this method can be extended to plane strain motion the computional effort is considerably amplified if one considers a plate geometry. Besides, the method used by these authors is limited to planar defects. For arbitrarily shaped scatterers Sánchez-Sesma [8] reviewed various applicable methods. Most of these numerical methods require considerable computational effort to evaluate the response. Their applicability to layered and anisotropic medium is also limited.


Rayleigh Wave Acoustical Society Earthquake Engineer Composite Plate Exterior Region 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S. K. Datta, H. M. Ledbetter, Y. Shindo, and A. H. Shah, Wave Motion, 10, 171 (1988)CrossRefzbMATHGoogle Scholar
  2. 2.
    S. K. Datta, A. H. Shah, R. L. Bratton, and T. Chakraborty, Journal of the Acoustical Society of America, 83, 2020 (1988)CrossRefGoogle Scholar
  3. 3.
    A. K. Mal, Wave Motion, 10, 257 (1988)CrossRefzbMATHGoogle Scholar
  4. 4.
    A. H. Nayfeh and D. E. Chimenti, Journal of Applied Mechanics, 56, 881 (1989)CrossRefzbMATHGoogle Scholar
  5. 5.
    S. I. Rokhlin, T. K. Bolland, and L. Adler, Journal of the Acoustical Society of America, 79, 906 (1986)CrossRefGoogle Scholar
  6. 6.
    M. R. Karim and T. Kundu, International Journal of Fracture, 37, 245 (1988)Google Scholar
  7. 7.
    M. R. Karim, T. Kundu, and C. S. Desai, Journal of Pressure Vessel Technology, 111, 165 (1989)Google Scholar
  8. 8.
    F. J. Sánchez-Sesma, Soil Dynamics and Earthquake Engineering, 6, 124 (1987)CrossRefGoogle Scholar
  9. 9.
    A. H. Shah, K. C. Wong, and S. K. Datta, International Journal of Earthquake Engineering and Structural Dynamics, 10, 519 (1982)CrossRefGoogle Scholar
  10. 10.
    G. R. Franssens and P. E. Lagasse, Journal of the Acoustical Society of America, 76, 1535 (1984)CrossRefzbMATHGoogle Scholar
  11. 11.
    K. R. Khair, S. K. Datta, and A. H. Shah, Seismological Society of America. Bulletin, 79, 610 (1989)Google Scholar
  12. 12.
    M. Bouden, K. R. Khair, and S. K. Datta, International Journal of Earthquake Engineering and Structural Dynamics, 19, 497 (1990)CrossRefGoogle Scholar
  13. 13.
    S. W. Liu, S. K. Datta, K. R. Khair, and A. H. Shan, Soil Dynamics and Earthquake Engineering, (to be published).Google Scholar
  14. 14.
    B. Nour-Omid and R. L. Taylor, Engineering Computations, 1, 312 (1984)CrossRefGoogle Scholar
  15. 15.
    T. K. Sarkar, X. Yang, and E. Arvas, Wave Motion, 10, 527 (1988)MathSciNetCrossRefzbMATHGoogle Scholar
  16. 16.
    L. M. Keer, W. Lin, and J. D. Achenbach, Journal of Applied Mechanics, 51, 65 (1984)CrossRefzbMATHGoogle Scholar
  17. 17.
    P. Cawley and C. Theodorakopoulos, Journal of Sound and Vibration, 130, 299 (1989)CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • T. H. Ju
    • 1
  • S. K. Datta
    • 1
  1. 1.Department of Mechanical Engineering and CIRES Center for Space ConstructionUniversity of ColoradoBoulderUSA

Personalised recommendations