Elastodynamic Theory

  • J. D. Achenbach
  • Z. L. Li
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 330)


Detailed expositions of elastodynamic theory have been presented in a number of treatises.This lecture is a brief summary of some relevant equations and some general results. The material presented here is based on Refs. [2.1] and [2.2].


Harmonic Wave Scattered Field Reciprocal Theorem Displacement Equation Displacement Wave 
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  1. 2.1.
    Achenbach, J. D.: Wave Propagation in Elastic Solids, North Holland/Elsevier, Amsterdam/New York 1973.Google Scholar
  2. 2.2.
    Achenbach, J. D., Gautesen, A. K. and McMaken, H.: Ray Methods for Waves in Elastic Solids, Pitman Advanced Publishing Program, Boston 1982.Google Scholar
  3. 2.3.
    Krautkrämer, J. and Krautkrämer, H.: Ultrasonic Testing of Materials, Springer Verlag, Berlin 1983.CrossRefGoogle Scholar
  4. 2.4.
    Ultrasonic Inspections, in Metals Handbook: Vol.17, Nondestructive Evaluation and Quality Control, ASM International, Metals Park, OH, USA 1989, 231–277.Google Scholar
  5. 2.5.
    Gubernatis, J. E., Domany, E., Krumhansl, J. A. and Huberman, M.: The Born approximation in the theory of the scattering of elastic waves by flaws, J. Appl. Phys, 48(1977), 2804–2811 and 2812–2819.CrossRefGoogle Scholar
  6. 2.6.
    Kitahara, M., Nakagawa, K. and Achenbach, J. D.: Boundary-integral equation method for elastodynamic scattering by a compact inhomogeneity, Computational Mechanics, 5(1989), 129–144.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Wien 1993

Authors and Affiliations

  • J. D. Achenbach
    • 1
  • Z. L. Li
    • 1
  1. 1.Northwestern UniversityEvanstonUSA

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