200 GPa压力范围内铝和铜的等熵压缩线计算

 将冲击Hugoniot线作为Grüneisen物态方程的参考线，以冲击的初始状态为参考状态，推导得到线性和二次曲线表示的冲击绝热线所对应的等熵压缩线方程，计算了200 GPa压力范围内铝和铜两种材料的等熵压缩线，并且计算了以Hugoniot关系为基础的Appy经验物态方程导出的等熵压缩线。计算结果表明，以Appy经验物态方程导出的等熵压缩线与以线性冲击绝热线导出的等熵压缩线接近，在200 GPa压力范围内两者相差不到1.5%。将计算得到的铝的等熵压缩线与美国Sandia实验室ICE实验Z864数据进行了比较，由线性Hugoniot得到的等熵压缩线与实验数据相差不到1%，由Appy经验物态方程得到的等熵线与实验数据几乎重合，说明在200 GPa压力范围内，以Appy物态方程和以线性Hugoniot为参考来计算的等熵压缩线有较高的精度。

Compression Isentropes of Aluminum and Copper up to 200 GPa

The equation of compression isentropes derived from linear and quadratic Hugoniot curves has been obtained by employing the Hugoniot as the reference of Grüneisen EOS as well as from p=f(e,v) form EOS directly. The compression isentropes of aluminum and copper are calculated with both Grüneisen and Appy EOS. The calculated results show that the compression isentrope of aluminum under 200 GPa calculated with Appy EOS approaches to that with the linear Hugoniot, where the error is less than 1.5%. It is also compared with the ICE data of Shot Z864 at the Sandia Z machine. They agree very well under 200 GPa and derived from both the linear Hugoniot and the Appy EOS, for those where the error is less than 1%. The isentropes of aluminum derived directly from Appy EOS coincides almost with the experimental one.