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Wave Propagation

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

Abstract

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
(2.1.1)
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
(2.1.2)
where the values of λ v are the roots of
(2.1.3)

Keywords

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

© Springer-Verlag Wien 1970

Authors and Affiliations

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

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