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 . The governing equations considered are of the formwhere 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 bywhere the values of λ v are the roots of
KeywordsShock Wave Particle Velocity Wave Speed Plastic Wave Propagation Longitudinal Wave
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© Springer-Verlag Wien 1970