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Wave Motion Fundamentals

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Part of the book series: Springer Series in Measurement Science and Technology ((SSMST))

Abstract

In the previous Chapter we modeled an ultrasonic system as a system function, which characterized all the electrical and electromechanical parts of the system, and an acoustic/elastic transfer function, which describes the processes present that are associated with wave motion, such as the generation of pressure waves in a fluid, the transmission of the pressure waves into a solid in the form of elastic waves, the scattering of those elastic waves by flaws, etc. This Chapter will develop the fundamental equations governing both pressure waves in a fluid and elastic waves in a solid. These equations will provide the basis for obtaining, in later portions of this book, explicit mathematical models for the acoustic/elastic transfer function in an NDE ultrasonic measurement.

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References

  1. J.A. Hudson, The Excitation and Propagation of Elastic Waves (Cambridge University Press, New York, 1980)

    Google Scholar 

  2. J.D. Achenbach, A.K. Gautesen, H. McMaken, Ray Methods for Waves in Elastic Solids (Pitman, Boston, 1982)

    Google Scholar 

  3. P.M. Morse, K.V. Ingard, Theoretical Acoustics (McGraw-Hill, New York, 1968)

    Google Scholar 

  4. A.D. Pierce, Acoustics (McGraw-Hill, New York, 1968)

    Google Scholar 

  5. K.F. Graff, Wave Motion in Elastic Solids (Dover, New York, 1991)

    Google Scholar 

  6. J.D. Achenbach, Wave Propagation in Elastic Solids (American Elsevier, New York, 1973)

    Google Scholar 

  7. A.C. Eringen, E.S. Suhubi, Elastodynamics, vols. 1 and 2 (Academic, New York, 1975)

    Google Scholar 

  8. J. Miklowitz, The Theory of Elastic Waves and Waveguides (North Holland, Amsterdam, 1978)

    Google Scholar 

  9. A.H. Harker, Elastic Waves in Solids (Adam Hilger, Philadelphia, 1988)

    Google Scholar 

  10. K.J. Langenberg, R. Marklein, K. Mayer, Ultrasonic Nondestructive Testing of Materials—Theoretical Foundations (CRC, Boca Raton, 2012)

    Google Scholar 

  11. K. Aki, P.G. Richards, Quantitative Seismology, vols. 1 and 2 (W.H. Freeman, San Francisco, 1980)

    Google Scholar 

  12. H. Kolsky, Stress Waves in Solids (Dover, New York, 1963)

    Google Scholar 

  13. R.J. Wasley, Stress Wave Propagation in Solids (Marcel Dekker, New York, 1973)

    Google Scholar 

  14. R.B. Lindsay, Mechanical Radiation (McGraw-Hill, New York, 1960)

    Google Scholar 

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Schmerr, L.W. (2016). Wave Motion Fundamentals. In: Fundamentals of Ultrasonic Nondestructive Evaluation. Springer Series in Measurement Science and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-30463-2_3

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