Numerical and theoretical determination of various materials Hugoniot relations based on the equation of state in high-temperature shock loading

ABSTRACT

The numerical shock velocity–particle velocity data were obtained by the use of the conservative laws and data were fitted to the linear and quadratic relation with respect to the particle velocity in various temperatures. An equation was derived for the second parameter of the general Hugoniot relation that could be obtained at every initial temperature loading by the use of the existing equation of states of materials, theoretically. Calculations showed that differences between the obtained data and both linear and quadratic relations are small. This work showed that the differences between the complete equation of state and Mie–Grüneisen assumption are negligible, although these differences increase with temperature. The theoretically determined Hugoniot shock parameters are in good agreement with numerically determined ones.

KEYWORDS:

• Equation of state
• bulk sound speed
• shock velocity–particle velocity relation
• adiabaticity parameter

Acknowledgments

Great thanks to all the referees reviewing this paper for their valuable comments.

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

M. Hallajisany http://orcid.org/0000-0003-4717-6663