The transition from acceleration wave to shock wave

Fu, Y.B. and Scott, N.H. (1991) The transition from acceleration wave to shock wave. International Journal of Engineering Science, 29 (5). pp. 617-624. ISSN 1879-2197

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Abstract

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.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Vishal Gautam
Date Deposited: 18 Mar 2011 14:23
Last Modified: 15 Dec 2022 02:10
URI: https://ueaeprints.uea.ac.uk/id/eprint/20840
DOI: 10.1016/0020-7225(91)90066-C

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