On Static and Dynamic Compressibilities of Debye Solids at High Pressures

Publisher Website
Google Scholar
Abstract
Investigations show that static compressibility of a Debye solid can be deduced from shock-compression data and vice versa. In this paper three different approaches are considered for the evaluation of static and dynamic compressibilities. Except for the linear law of shock propagation and the Born—Mayer type of energy function, which are semianalytical, all other equations are derived on a full analytic basis. It is of interest to show that the entropy and temperature are implicit functions of shock compression. These implicit functions are then determined in closed form, and they turn out to provide a means for the calculation of thermal properties of the Debye solid at high pressures in terms of purely mechanical parameters. Some calculated results are given according to the pseudo-Hugoniot approach only, and the validity range covers pressures from 104−107 atm and temperatures from 102−103K.