高压物理学报

4种等温物态方程适用性的比较研究

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胡静 ¹ , 孙久勋 ² , 蔡灵仓 ¹

高压物理学报 | 2006,20(3): 313-321

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高压物理学报 | 2006 , 20 (3) : 313 -321

4种等温物态方程适用性的比较研究

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胡静¹, 孙久勋², 蔡灵仓¹

作者信息

^1.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　621900

^2.电子科技大学应用物理系，四川成都　610054

作者简介:

胡静（1978—），女，研究实习员，主要从事物态方程研究. E-mail：hjhujing@yahoo.com.cn

Comparative Research of Applicability of Four Isothermal Equations of State

Jing HU¹, Jiu-Xun SUN², Ling-Cang CAI¹

Affiliations

^1.Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, CAEP, Mianyang 621900, China

^2.Department of Applied Physics, University of Electronic Science & Technology, Chengdu 610054, China

出版时间: 2006-09-05

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摘要

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通过分析现有文献，认为4种两参数的物态方程在高压物理研究中较为流行，它们是Vinet、Baonza、Morse和Born-Meyer（BM）方程。将这4种方程用于拟合50种材料的实验压缩数据，得出了零压下压缩模量及其一阶压力导数的优化取值，并计算了4种方程的平均压力误差。结果表明，Morse方程的精度最高，对50种材料的平均拟合误差为0.557 6%；BM方程次之，平均误差为0.615 1%；Vinet和Baonza方程的误差大一些，分别为0.788 9%和0.833 3%。对8种典型材料计算了压力误差随压强变化的曲线，所得结果与平均误差的趋势一致，也是Morse方程的精度最高。在宽广压力范围的高压物态方程研究中，推荐使用Morse方程。

关键词

普适物态方程 / 体积模量及其压力导数 / 高压压缩曲线 / 压力误差

Abstract

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It is pointed out that four equations of state are popular in literature, including Morse, Vinet, Born-Meyer (BM) and Baonza equations of state. The four equations have been applied to fit the experimental compression data of 50 materials. The optimized values of bulk modulus and its first-order pressure derivative at zero-pressure have been determined, and the average errors are compared. The results show that for all materials the Morse equation gives the best results with average error 0.557 6%, BM, Vinet and Baonza equations subsequently give inferior results with average errors 0.615 1%, 0.788 9% and 0.833 3%, respectively. For materials at wide pressure range, we recommend the Morse equation, but at middle and low pressure ranges, we recommend the Baonza equation as it can be expressed as both pressure analytic form and volume analytic form.

Key words

universal equation of state / bulk modulus and its derivative with respect to pressure / compression curve at high pressure / error of pressure

引用本文

胡静, 孙久勋, 蔡灵仓. 4种等温物态方程适用性的比较研究. 高压物理学报, 2006 , 20 (3) : 313 -321 .

Jing HU, Jiu-Xun SUN, Ling-Cang CAI. Comparative Research of Applicability of Four Isothermal Equations of State[J]. Chinese Journal of High Pressure Physics, 2006 , 20 (3) : 313 -321 .

基金

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中国工程物理研究院联合基金(10476007)

参考文献

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文献

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参考文献引证文献

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2006年第20卷第3期

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接收时间：2005-01-26
首发时间：2026-11-01
出版时间：2006-09-05

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收稿日期：2005-01-26
修回日期：2005-05-30

基金

中国工程物理研究院联合基金(10476007)

作者信息

^1.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　621900

^2.电子科技大学应用物理系，四川成都　610054

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2种不同金属材料的力学参数

科 Family	属数 Number of genus	种数 Number of species	占总种数比例 Percentage of total species (%)	属 Genus	种数 Number of species	占总种数比例 Percentage of total species (%)
鹅膏菌科Amanitaceae	2	11	5.26	鹅膏菌属 Amanita	10	4.78
小菇科 Mycenaceae	2	12	5.74	丝盖伞属 Inocybe	5	2.39
多孔菌科 Polyporaceae	8	14	6.70	蜡蘑属 Laccaria	5	2.39
红菇科 Russulaceae	3	23	11.00	小皮伞属 Marasmius	6	2.87
				小菇属 Mycena	11	5.26
				光柄菇属 Pluteus	5	2.39
				红菇属 Russula	17	8.13
				栓菌属 Trametes	5	2.39

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