Wave Propagation

  • John D. Campbell
Part of the International Centre for Mechanical Sciences book series (CISM, volume 46)


A review of the method of characteristics applied to the theory of stress waves in solids has been given by Hopkins [23]. The governing equations considered are of the form
where the coefficients a ij , b ij and c i are in general functions of the independent variables (x, t) and of then dependent variables u j ; the repeated (dummy) suffix j implies summation over the values j = 1, 2,..., n. It is found that there are curves C in the (x, t) plane across which there may be discontinuities in the first derivatives of u i . These curves are given by
where the values of λ v are the roots of


Shock Wave Particle Velocity Wave Speed Plastic Wave Propagation Longitudinal Wave 
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Copyright information

© Springer-Verlag Wien 1970

Authors and Affiliations

  • John D. Campbell
    • 1
  1. 1.University of OxfordUK

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