A COMPLETE E, P, V, T, S THERMODYNAMIC DESCRIPTION OF METALS BASED ON THE P,U MIRROR-IMAGE CONCEPT

Abstract

The well-known practice of using the mirror image, in the P,u plane, of the shock Hugoniot curve about a vertical line through the shocked state PH, uH is shown to give a complete thermodynamic description of metals when the U(shock velocity) vs. uH relationship and V-1( V/ T)P 0 are known. Use of the experimental relationship U = co + auH (a and co constants) and = constant, leads to a thermodynamic description which results in the metal appearing less compressible than if described by the Mie-Gruneisen equation of state. Furthermore, the existence of an anomalous behavior of cp in the low pressure neighborhood of the initial state rules out the simultaneous existence of a Hugoniot satisfying the linear U vs. uH relationship, of isentropes satisfying the mirror image assumption, and of a constant value of in this neighborhood. Thermodynamic functions for 16 metals are calculated up to 2 megabars and compared with the results obtained from the Mie-Gruneisen equation of state.

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Document Details

Document Type
Technical Report
Publication Date
Aug 13, 1962
Accession Number
AD0290779

Entities

People

  • Julius W. Enig

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  • Naval Ordnance Laboratory

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  • Ordnance Laboratories
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