金属冷压方程的数值分析

doi:10.16568/j.0254-6086.201503002

核聚变与等离子体物理 ›› 2015, Vol. 35 ›› Issue (3): 198-203.DOI: 10.16568/j.0254-6086.201503002

金属冷压方程的数值分析

段耀勇，郭永辉，邱爱慈

(强脉冲辐射环境模拟与效应国家重点实验室，西北核技术研究所，西安 710024)

出版日期:2015-09-15 发布日期:2015-09-15
作者简介:段耀勇(1966-)，男，湖北麻城人，研究员，从事计算物理工作。
基金资助:
国家自然科学基金(51237006)

Numerical analysis of cold pressure equation of metals

DUAN Yao-yong, GUO Yong-hui, QIU Ai-ci

(State Key Laboratory of Intense Pulsed Radiation Simulation and Effect, Northwest Institute of Nuclear Technology, Xi’an 710024)

Online:2015-09-15 Published:2015-09-15

摘要/Abstract

摘要：

在金属等温体积模量和冲击波动态压缩实验数据基础上，利用胡-经(HJ)方法计算了57 种金属材料在Born-Mayer(BM)模型中冷压参数q 和Q，同时提出了在没有足够实测冲击波数据前提下结合零温 Thomas-Fermi(TF)模型与低压实验数据计算冷压参数的试探法。组合Faussurier 电子热压模型、Cowan 离子热压模型和以上方法得到的冷压拟合式，通过对Be、Co 和Pb 的计算和实验的冲击绝热数据的对比，分析了HJ 法与综合优选法得到的q 和Q 之间的差异。进一步计算了Sr、Ba 和Sm 材料沿冲击绝热曲线上的热力学量，通过与相应的实测结果以及与其他模型对比来评估HJ 冷压方程的精度。

关键词: 状态方程, 冲击波, 胡-经关系式, FCZH模型

Abstract:

The cold pressure parameters of q and Q in the Born-Mayer(BM) model for fifty-seven metals equations were calculated by using the Hu-Jing(HJ) method based on isothermal bulk moduli of metal and measured data in shock wave experiments, and at the same time a trial method for computing them by combining Thomas-Fermi model at absolute zero-temperature with low pressure experiment data, is put forward for lack of the sufficient shock wave experiment data. By integrating the Faussurier model for electron thermal pressure, the Cowan model for ion thermal pressure and the above obtained cold pressure fitted formula, the Hugoniot curves of Be, Co and Pb are calculated and compared with experimental data, and then the discrepancies of q value and Q value obtained by HJ method and a comprehensive method are analyzed and interpreted. Furthermore, the precision for the cold pressure equation by HJ method is assessed by comparing the thermodynamic quantities on the Hugoniot curves of Sr, Ba, and Sm with the corresponding measured results and the calculated ones by other models.

Key words: Equation of state, Shock waves, HJ relation, FCZH model

中图分类号:

O535
O52

段耀勇，郭永辉，邱爱慈. 金属冷压方程的数值分析[J]. 核聚变与等离子体物理, 2015, 35(3): 198-203.

DUAN Yao-yong, GUO Yong-hui, QIU Ai-ci. Numerical analysis of cold pressure equation of metals[J]. NUCLEAR FUSION AND PLASMA PHYSICS, 2015, 35(3): 198-203.

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金属冷压方程的数值分析

Numerical analysis of cold pressure equation of metals

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