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On shock waves in solids

Knowles, James K. (2007) On shock waves in solids. Discreet and Continuous Dynamical Systems Series B, 7 (3). pp. 573-580. ISSN 1531-3492.

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This paper describes some recent theoretical results pertaining to the experimentally-observed relation between the speed of a shock wave in a solid and the particle velocity immediately behind the shock. The new feature in the present analysis is the assumption that compressive strains are limited by a materially-determined critical value, and that the internal energy density characterizing the material is unbounded as this critical strain is approached. It is shown that, with this assumption in force, the theoretical relation between shock speed and particle velocity is consistent with many experimental observations in the sense that it is asymptotically linear for strong shocks of the kind often arising in the laboratory.

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Additional Information:© AIMS 2006. Received August 2006; revised January 2007.
Subject Keywords:shock waves; impact experiments; thermoelastic materials
Issue or Number:3
Classification Code:2000 Mathematics Subject Classification: Primary: 74J40; Secondary: 74A15.
Record Number:CaltechAUTHORS:20100503-101804312
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18099
Deposited By: Tony Diaz
Deposited On:05 May 2010 04:15
Last Modified:03 Oct 2019 01:38

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