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Comparative Research of Applicability of Four Isothermal Equations of State
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Jing HU1, Jiu-Xun SUN2, Ling-Cang CAI1
Chinese Journal of High Pressure Physics | 2006, 20(3) : 313 - 321
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Chinese Journal of High Pressure Physics | 2006, 20(3): 313-321
Comparative Research of Applicability of Four Isothermal Equations of State
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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
Published: 2006-09-05
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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.

universal equation of state  /  bulk modulus and its derivative with respect to pressure  /  compression curve at high pressure  /  error of pressure
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 .
Year 2006 volume 20 Issue 3
25
6
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Article Info
  • Receive Date:2005-01-26
  • Online Date:2026-11-01
  • Published:2006-09-05
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  • Received:2005-01-26
  • Revised:2005-05-30
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    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
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表12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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