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Wave Propagation

  • Danton Gutierrez-LeminiEmail author
Chapter
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Abstract

This chapter examines the propagation of harmonic and shock waves in viscoelastic materials of integral and differential type. For simplicity, the different topics are introduce in one dimension, presenting the balance of linear momentum across the shock front, and the jump equations in stress, strain and velocity without obscuring the subject matter. As must be expected, harmonic waves in viscoelastic media are always damped. Also shown is that shock waves travel at the glassy sonic speed of the viscoelastic material in which they occur; that is, at the speed of sound in an elastic solid with modulus of elasticity equal to the glassy modulus of the viscoelastic material at hand.

Keywords

Wave Harmonic Cyclic Shock Speed Frequency Front Jump Attenuation Momentum Balance 

References

  1. 1.
    H. Kolsky, Stress Waves in Solids (Dover Publications, NY, 1963), pp. 41–53Google Scholar
  2. 2.
    W. Flügge, Viscoelasticity, 2nd edn. (Springer, Berlin, 1975), pp. 121–140Google Scholar
  3. 3.
    R.M. Christensen, Theory of Viscoelasticity, 2nd edn. (Dover, NY, 1982), pp. 110–116Google Scholar
  4. 4.
    N. Cristescu, I. Suliciu, Viscoplasticity (Martinus Nijhoff, The Hague, 1982)Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Special Products DivisionOil States Industries, Inc.ArlingtonUSA

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