The transition from acceleration wave to shock wave

Y.B. Fu, N.H. Scott

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In certain circumstances the amplitude of an acceleration wave is predicted by singular surface theory to become infinite after only a finite distance of propagation and it is widely believed that this corresponds to the formation of a shock wave, though no proof appears to have been given. We prove that this is so for one-dimensional motions of an elastic half-space by utilising an exact solution obtained from simple wave theory. This result is extended to dilatational cylindrical and spherical wave propagation in an elastic material.
Original languageEnglish
Pages (from-to)617-624
Number of pages8
JournalInternational Journal of Engineering Science
Issue number5
Publication statusPublished - 1991

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