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Published January 15, 1991 | Published
Journal Article Open

A Hugoniot theory for solid and powder mixtures

Abstract

A model is presented from which one can calculate the Hugoniot of solid and porous two‐component mixtures up to moderate pressures using only static thermodynamic properties of the components. The model does not presuppose either the relative magnitude of the thermal and elastic energies or temperature equilibrium between the two components. It is shown that for a mixture, the conservation equations define a Hugoniot surface and that the ratio of the thermal energy of the components determines where the shocked state of the mixture lies on this surface. This ratio, which may strongly affect shock‐initiated chemical reactions and the properties of consolidated powder mixtures, is found to have only a minor effect on the Hugoniot of a mixture. It is also found that the Hugoniot of solids and solid mixtures is sensitive to the pressure derivative of the isentropic bulk modulus at constant entropy.

Additional Information

© 1991 American Institute of Physics. Received 11 May 1990; accepted for publication 19 September 1990. We would like to thank Andrew Mutz for Fig. 1 and his work on the maraging steel experiment. We would also like to thank Ricardo Schwarz of Los Alamos National Laboratories for helpful conversations and his thoughtful insight. This work was supported under the National Science Foundation's Materials Processing Initiative Program, Grant No. DMR 8713258. Barry Krueger died on October 29, 1990 as a result of injuries received in a motorcycle accident. His family, friends, and scientific colleagues mourn the loss of a truly gifted individual.

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