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Scattering Characteristics of a Partially Debonded Compliant Inclusion-Matrix Interphase

  • M. Kitahara
  • K. Nakagawa
  • J. D. Achenbach
Chapter
Part of the Review of Progress in Quantitative Nondestructive Evaluation book series

Abstract

Scattering characteristics have been calculated for a spherical inclusion with partially debonded interphase conditions. Three scattering characteristics of the scattered field have been selected for investigation: 1) the frequency response at a fixed point, 2) the scattered field at a fixed frequency along an observation line, and 3) the radiation pattern. The compliant interphase between the inclusion and the surrounding elastic matrix has been modeled by a layer of distributed springs which offers resistance to relative displacements in the two tangent and the normal directions. Two basic assumptions are made for the spring model of the interphase: 1) The springs are linear, and 2) The interphase is very thin so that the effect of inertia of the interphase can be neglected. These assumptions are acceptable in the low frequency range. The partial debonding of the interphase is modeled by setting the spring constants (defined per unit area) equal to zero along part of the interphase.

Keywords

Radiation Pattern Spring Constant Boundary Integral Equation Scattered Field Spherical Inclusion 
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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References

  1. 1.
    M. Kitahara, K. Nakagawa and J.D. Achenbach, Backscatter from a spherical inclusion with compliant interphase characteristics, in Review of Progress in Quantitative NDE, Vol.8A, ed. by Thompson, D.O. and Chimenti, D.E., Plenum Press, New York, pp. 47–54, 1989.Google Scholar
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    J.M. Baik and R.B. Thompson, The elastic compliance of imperfect interfaces: review and relationship to ultrasonic scattering, in Review of Progress in Ouantitative NDE, Vol.4A, ed. by Thompson, D.O. and Chimenti, D.E., Plenum Press, New York, pp. 133–144, 1985.Google Scholar
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    P.A. Martin, Thin interface layers: adhesives, approximations and analysis, IUTAM Symposium on Elastic Wave Propagation and NDE, Boulder, Colorado, July 30-August 3, 1989(Proceedings will be published by Elsevier).Google Scholar
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    M. Kitahara, K. Nakagawa and J.D. Achenbach, Boundary integral equation method for elastodynamic scattering by a compact inhomogeneity, Computational Mechanics, 1989(in press).Google Scholar

Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • M. Kitahara
    • 1
  • K. Nakagawa
    • 2
  • J. D. Achenbach
    • 3
  1. 1.Tokai UniversityShimizu, Shizuoka 424Japan
  2. 2.Total System InstituteShinjuku, Tokyo 162Japan
  3. 3.Center for Quality Engineering and Failure PreventionNorthwestern UniversityEvanstonUSA

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