冲击加载下NaCl单晶高压声速与温度的同步测量

金柯; 吴强; 李加波; 周显明; 叶素华; 李俊

doi:10.11858/gywlxb.2017.06.005

冲击加载下NaCl单晶高压声速与温度的同步测量

doi: 10.11858/gywlxb.2017.06.005

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重点实验室，四川绵阳 621999

基金项目:

国防基础科研计划 B1520110001

详细信息

作者简介:
金柯(1976-), 男, 博士, 副研究员, 主要从事状态方程和动态加载技术研究.E-mail:jinke_102@caep.cn

中图分类号: O521.2;O521.3
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出版历程
- 收稿日期: 2017-07-11
- 修回日期: 2017-08-07

Simultaneous Measurement of Sound Velocity and Temperature of Single Crystal NaCl under Shock Loading

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

摘要

摘要: 基于二级轻气炮和多通道辐射高温计，测量了45~85 GPa压力范围内NaCl单晶的B2相区、B2-液相混合相区和液相区的高压声速和温度。通过高压声速数据，确定了NaCl单晶的冲击熔化压力区间为58~67 GPa。当压力为67 GPa时，NaCl单晶的冲击熔化温度为3 740 K。计算了NaCl单晶的等熵体模量、Grüneisen系数和定容比热容，对比分析了多种模型对Grüneisen系数高压演化特性的描述。结果显示，根据吴强模型计算的Grüneisen系数不但在液相区与冲击压缩实验结果吻合得非常好，而且在低压区也与金刚石压砧实验结果及有限应变计算结果吻合得非常好。
- 冲击加载 /
- NaCl /
- 声速 /
- 冲击温度 /
- Grüneisen系数
Abstract: Based on a two-stage light gas gun and a multi-channel time-resolved pyrometer, we simultaneously measured the shock temperatures and sound velocities of B2, B2-liquid and liquid phase NaCl single crystal in the pressure range from 45 GPa to 85 GPa.According to these sound velocities, the shock melting pressure region was determined to be 58-67 GPa, and the shock melting point obtained was 3 740 K at 67 GPa.Furthermore, we calculated the isentropic bulk modulus, the Grüneisen parameter, and the specific heat capacity under constant pressure and compared the experimental results with the previously published data.The Grüneisen parameter calculated by Wuqiang model has an excellent agreement with both the shock compression experiment data in the liquid region and the diamond anvil cell experiment data and the finite strain theory calculation results in the low pressure region.
- shock loading /
- NaCl /
- sound velocity /
- shock temperature /
- Grüneisen parameter

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图 1 拉氏坐标系下平面冲击加载实验波系图

Figure 1. Wave interaction of planar shock experiment in Lagrangian coordinates

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图 2 实验装置和高温计测试系统示意

Figure 2. Experimental configuration and pyrometer

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图 3 NaCl的D-u关系

Figure 3. D-u relation of NaCl

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图 4 典型高温计波形及各时间特征点

Figure 4. Typical spectral radiance and key time point

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图 5 NaCl高压声速与冲击压力的关系

Figure 5. Euler sound velocity vs.shock pressure for NaCl

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图 6 NaCl的p-T相图

Figure 6. Temperature vs.pressure for NaCl

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图 7 NaCl沿Hugoniot线的等熵体模量与压力的关系

Figure 7. Isentropic bulk modulus along the Hugoniot curve vs.pressure for NaCl

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图 8 NaCl的Grüneisen系数与压力的关系

Figure 8. Grüneisen parameter vs. pressure for NaCl

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图 9 NaCl的定容比热容与压力的关系

Figure 9. Specific heat capacity at constant volume vs.pressure for NaCl

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表 1 实验参数

Table 1. Experimental parameters

Exp.No.	w/(km/s)	h_f/(mm)	h_s/(mm)
NaCl-01	4.537	1.186±0.001	10.038±0.010
NaCl-03	5.218	1.216±0.001	10.035±0.005
NaCl-04	4.943	1.217±0.001	10.001±0.006
NaCl-05	4.945	1.218±0.001	10.055±0.003
NaCl-06	5.605	1.218±0.001	10.070±0.002
NaCl-07	4.754	1.242±0.001	10.041±0.005
NaCl-08	4.320	1.231±0.001	10.031±0.012
NaCl-09	4.079	1.240±0.001	10.103±0.010

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表 2 NaCl的高压声速实验结果

Table 2. High pressure sound velocity measurement results of NaCl

Exp.No.	w/(km/s)	p/(GPa)	C_{l, s}^L/(km/s)	C_{l, s}^E/(km/s)	C_b^E/(km/s)	δ_{C_b^E}/(%)
NaCl-01	4.537	58.5	13.993±0.385	7.970±0.224
NaCl-03	5.218	72.6	14.230±0.335	7.915±0.200	7.954	0.5
NaCl-04	4.943	67.0	13.656±0.317	7.735±0.180	7.758	0.3
NaCl-05	4.945	67.1	13.654±0.317	7.733±0.179	7.775	0.6
NaCl-06	5.605	80.8	15.013±0.361	8.150±0.194	8.201	0.6
NaCl-07	4.754	62.8	13.882±0.379	7.909±0.219
NaCl-08	4.320	54.3	13.310±0.379	7.779±0.219
NaCl-09	4.079	49.8	12.874±0.341	7.639±0.202

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表 3 NaCl的冲击温度实验结果

Table 3. Shock temperature measurement results of NaCl

Exp.No.	w/(km/s)	p/(GPa)	T/(K)	ε	δ_T/(%)
NaCl-01	4.537	58.5	3 724	0.24	12.7
NaCl-03	5.218	72.6	4 420	1.00	5.8
NaCl-04	4.943	67.0	3 742	0.95	8.2
NaCl-05	4.945	67.1	3 738	0.96	5.0
NaCl-06	5.605	80.8	5 000	0.92	9.5
NaCl-07	4.754	62.8	3 735	0.30	13.5
NaCl-08	4.320	54.3	3 649	0.36	9.0
NaCl-09	4.079	49.8	3 366	0.41	8.5

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表 4 液相区NaCl的等熵体模量和Grüneisen系数

Table 4. Isentropic bulk modulus and Grüneisen parameter of liquid NaCl

Exp.No.	p/(GPa)	B_S/(GPa)	γ		δ_γ/(%)
Exp.No.	p/(GPa)	B_S/(GPa)	This study (Eq.(10))	Wu model (Eq.(20))	δ_γ/(%)
NaCl-03	72.6	243.8	0.851	0.827	2.8
NaCl-04	67.0	228.7	0.865	0.841	2.8
NaCl-05	67.1	228.6	0.868	0.841	3.1
NaCl-06	80.8	264.9	0.841	0.810	3.7

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