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.

中文翻译：

---

基于高温冲击载荷状态方程的各种材料Hugoniot关系的数值和理论确定

摘要 数值冲击速度-粒子速度数据是通过使用保守定律获得的，并且数据被拟合成关于不同温度下粒子速度的线性和二次关系。理论上，可以通过使用现有的材料状态方程在每个初始温度载荷下获得一般 Hugoniot 关系的第二个参数的方程。计算表明，获得的数据与线性和二次关系之间的差异很小。这项工作表明，完整状态方程与 Mie-Grüneisen 假设之间的差异可以忽略不计，尽管这些差异会随着温度的增加而增加。理论确定的 Hugoniot 激波参数与数值确定的参数非常吻合。