两种状态方程参数的计算

赵锋

doi:10.11858/gywlxb.2014.05.004

两种状态方程参数的计算

doi: 10.11858/gywlxb.2014.05.004

赵锋

中国工程物理研究院流体物理研究所冲击波物理与爆轰物理实验室，四川绵阳 621999

详细信息

作者简介:
赵锋(1961—), 男, 博士, 研究员, 博士生导师, 主要从事爆炸力学等方面研究. E-mail:ifpzf@163.com

中图分类号: O521.2
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出版历程
- 收稿日期: 2014-01-20
- 修回日期: 2014-03-26

Two Complete Equations of State for Several Materials

ZHAO Feng

National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, CAEP, Mianyang 621999, China

摘要

摘要: 在一定程度上，状态方程的形式与外推数据的置信度有直接影响，对于在高压下发生反应的材料，通过外推方式计算其未反应状态具有一定的意义。依据由Vinet以及Parsafar和Mason(简称P-M)等人提出的两种统一状态方程，对以其为等温压缩线的完全状态方程进行了研究。根据对热力学状态量的分析，从热压系数和定容比热入手，对完全状态方程的建立进行了讨论，给出了在已知物质等温线条件下构成状态方程的方法，并推导了Vinet和P-M两种表达式的完全状态方程形式。以几种材料为例，通过实验测量的冲击绝热线和有关参数，采用最小二乘法，对其状态方程进行了拟合。结果表明，由冲击绝热线拟合的状态方程与实验结果相吻合。
- 状态方程 /
- 未反应炸药 /
- 冲击绝热线 /
- 热力学相容关系
Abstract: This paper describes the formulation of the complete equation of state (EOS) for several materials, based on two universal EOS, proposed by Vinet et al, as well as Parsafar & Mason.And we discussed the formulation of the EOS from the thermal mechanics state expressed by thermal-pressure coefficient and specific heat coefficient.Finally, we fitted the obtained EOS with those obtained shock wave data from references by linear fitting method.The calculated shock Hugoniot state from the obtained two complete EOS are compared with shock Hugoniot data, and good agreements are showed.
- equation of state /
- unrected explosive /
- shock Hugoniot /
- thermomechanics compatibility

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图 1 几种材料的冲击Hugoniot状态与实验测量结果

(a) Hugoniot pressure of JB-9014 (b) Hugoniot pressure of PBX-9404 (c) Hugoniot pressure of 45 steel (d) Hugoniot pressure of tungsten

Figure 1. Calculated and measured shock Hugoniot state for several materials

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表 1 统一物态方程的计算输入参数

Table 1. JWL EOS Parameters of explosives

Materials	c₀/(km/s)	λ	ρ₀/(g/cm³)	Γ	c_V/[J/(g·K)]
JB-9014	0.26^[11]	1.440^[11]	1.887^[11]	1.50^[12]	0.3^[12]
PBX-9404	0.271^[13]	1.61^[13]	1.867^[13]	0.675^[12]	0.4^[12]
45 steel	3.896^[14]	1.611^[14]	7.85^[14]	2.17^[15]	0.452^[15]
Tungsten	0.404^[13]	1.230^[13]	19.24^[13]	1.67^[11]	0.129^[11]

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表 2 几种材料物态方程参数的拟合结果

Table 2. Fitted EOS parameters of several materials

Materials	ρ₀/(g/cm³)	P-M EOS parameters			Vinet EOS parameters
Materials	ρ₀/(g/cm³)	A₀/10^-3	A₁/10^-3	A₂/10^-3	B₀/10^-3	η/10^-2	Θ/10^-7
JB-9014	1.887	-108.562	98.071 2	10.490 8	123.184	644.764	84.915
PBX-9404	1.867	70.899 3	-240.205	169.306	126.329	944.389	50.409
45 steel	7.85	-378.596	-270.837	649.434	1 087.32	822.45	769.959
Tungsten	19.2	-4 248.49	5 473.94	-1 225.45	3 110.78	443.387	414.487

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参考文献(16)

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