β Scribed by Thomas King; Jon Shively
No coin nor oath required. For personal study only.
It is customary to represent the shock Hugoniot as a linear relation between shock velocity and the particle velocity behind the shock. It has been recently shown that the coefficients appearing in the general expansion of shock velocity as a power series in particle velocity can be calculated, to arbitrary order, from the derivatives of the shock pressure with respect to volume, evaluated at the initial state. The first two coefficients in the expansion have a simple relation to the interatomic potential describing the material. Most such potentials contain just two parameters (roughly, a "strength" parameter and a "shape" parameter), which can be conveniently extracted from the shock parameters. We present results for the values of the potential parameters, for several commonly-used forms of potential, determined by least-squares fitting of the shock data to nonlinear Hugoniots. The results obtained sometimes differ from those obtained on the assumption of a linear Hugoniot.
π SIMILAR VOLUMES