铈低压冲击相变数值模拟研究

潘昊; 胡晓棉; 吴子辉; 戴诚达; 吴强

doi:10.7498/aps.61.206401

摘要

对金属铈低压冲击γ → α相变进行了数值模拟研究.冲击加载实验的速度剖面结果表明,铈的低压相变过程中两相之间的转换较为光滑,无明显间断,其相变过程存在动态因素.通过分析金属铈低压冲击加载和卸载下的典型物理过程,对材料本构关系、Hugoniot关系和相变与逆相变过程进行了理论研究.获取了铈低压相变前后的本构关系及状态方程,并建立了非平衡相变理论模型.数值计算结果与平面冲击实验符合较好,表明该相变动态模型能够较好地描述铈的低压冲击加载和卸载过程.

关键词:

相变 /
冲击波 /
本构关系 /
铈

Abstract

The dynamic responses of cerium under low pressure, including γ →α phase transition, are numerically studied in this paper. The velocity profiles of shock experiments show that the transition process between the two phases is smooth and there is no obvious disconnection between the two plastic waves of the particle velocity profiles. Three important problems in the dynamic response, including constitutive model, Hugoniot relation and phase transition/reversal, are discussed. A multi-phase equation of state and constitutive model of Ce are presented in this paper after analyzing the typical wave configuration of cerium under the shock loading and releasing. The dynamic phase transition model is built for the non-equilibrium course in the phase γ → α transition induced by shock wave. The numerical results accord with the experimental data of the plane impact tests, indicating that the dynamic phase transition model can describe the dynamic response under low pressure of cerium more reasonably.

Keywords:

作者及机构信息

1.
北京应用物理与计算数学研究所, 北京 100088;

2.
北京应用物理与计算数学研究所,计算物理国家重点实验室, 北京 100088;

3.
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, 绵阳 621900

基金项目: 爆炸科学与技术国家重点实验室开放基金(批准号: KFJJ11-5M)资助的课题.

Authors and contacts

1.
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;

2.
National Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;

3.
Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, China

Funds: Project supported by the Opening Foundation of State Key Laboratory of Explosion Science and Technology, China (Grant No. KFJJ11-5M).

参考文献

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[3]	Hayes D B 1975 J. Appl. Phys. 46 3438
[4]	Boettger J C 1997 Phys. Rev. B 55 2840
[5]	Duvall G E, Graham R A 1977 Rev. Mod. Phys. 49 523
[6]	Kamegai M 1975 J. Appl. Phys. 46 1618
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[8]	Tan Y, Yu Y Y, Dai C D, Tan H, Wang Q S, Wang X 2011 Acta Phys. Sin. 60 106401 (in Chinese) [谭叶, 俞宇颖,戴诚达, 谭华, 王青松, 王翔 2011 60 106401]
[9]	Shao J L, Wang P, Qin C S, Zhou H Q 2007 Acta Phys. Sin. 56 5389 (in Chinese) [邵建立, 王裴, 秦承森, 周洪强 2007 56 5389]
[10]	Shao J L, Duan S Q, He A M, Qin C S, Wang P 2009 J. Phys.: Condens. Matter 21 245703
[11]	Shao J L, Duan S Q, He A M, Wang P, Qin C S 2010 J. Phys.: Condens. Matter 22 355403
[12]	El'kin V M, Kozlov E A, Kakshina E V, Moreva Yu S 2006 Phys. Met. Metallogr. 101 208
[13]	Guo Y B, Tang Z P, Xu S L 2004 Acta Mech. Solida Sin. 25 417 (in Chinese) [郭扬波, 唐志平, 徐松林 2004 固体力学学报 25 417]
[14]	Steinberg D J, Cochran S G, Guinan W W 1980 J. Appl. Phys. 51 1948
[15]	Cox G A 2006 AIP Conf. Proc. Baltimore USA, July 31-August 5, 2005 p208
[16]	Song H F, Liu H F, Zhang G C, Zhao Y H 2009 Chin. Phys. Lett. 26 066401
[17]	Decremps F, Belhadi L, Farber D L, Moore K T, Occelli F, Gauthier M, Polian A, Antonangeli D, Aracne-Ruddle C M, Amadon B 2011 Phys. Rev. Lett. 106 065701
[18]	Voronov F F, Goncharova V A, Stalgorova O V 1979 J. Exp. Tech. Phys. 76 1351
[19]	Fowles G R 1961 J. Appl. Phys. 32 1475
[20]	Barker L M, Lundergan C D 1964 J. Appl. Phys. 35 1203
[21]	Dwivedi S K, Asay J R, Gupta Y M 2006 J. Appl. Phys. 100 083509
[22]	Singh A K 1980 High Temp. High Press. 12 47
[23]	Vinet P, Rose J H, Ferrante J, Smith J R 1989 J. Phys.: Condens. Matter 1 1941
[24]	Jensen B J, Cherne F J, Cooley J C, Zhernokletov M V, Kovalev A E 2010 Phys. Rev. B 81 214109
[25]	Lee E H, Liu D T 1967 J. Appl. Phys. 38 19
[26]	Li X M, Yu Y Y, Li Y H, Zhang L, Ma Y, Wang X S, Fu Q W 2010 Acta Phys. Sin. 59 2691 (in Chinese) [李雪梅, 俞宇颖, 李英华, 张林, 马云, 汪小松, 付秋卫 2010 59 2691]

施引文献

[1]	Andrews D J 1971 J. Comp. Phys. 7 310
[2]	Andrews D J 1973 J. Phys. Chem. Solids 34 85
[3]	Hayes D B 1975 J. Appl. Phys. 46 3438
[4]	Boettger J C 1997 Phys. Rev. B 55 2840
[5]	Duvall G E, Graham R A 1977 Rev. Mod. Phys. 49 523
[6]	Kamegai M 1975 J. Appl. Phys. 46 1618
[7]	Chen Y T, Tang X J, Li Q Z 2011 Acta Phys. Sin. 60 046401 (in Chinese) [陈永涛, 唐小军, 李庆忠 2011 60 046401]
[8]	Tan Y, Yu Y Y, Dai C D, Tan H, Wang Q S, Wang X 2011 Acta Phys. Sin. 60 106401 (in Chinese) [谭叶, 俞宇颖,戴诚达, 谭华, 王青松, 王翔 2011 60 106401]
[9]	Shao J L, Wang P, Qin C S, Zhou H Q 2007 Acta Phys. Sin. 56 5389 (in Chinese) [邵建立, 王裴, 秦承森, 周洪强 2007 56 5389]
[10]	Shao J L, Duan S Q, He A M, Qin C S, Wang P 2009 J. Phys.: Condens. Matter 21 245703
[11]	Shao J L, Duan S Q, He A M, Wang P, Qin C S 2010 J. Phys.: Condens. Matter 22 355403
[12]	El'kin V M, Kozlov E A, Kakshina E V, Moreva Yu S 2006 Phys. Met. Metallogr. 101 208
[13]	Guo Y B, Tang Z P, Xu S L 2004 Acta Mech. Solida Sin. 25 417 (in Chinese) [郭扬波, 唐志平, 徐松林 2004 固体力学学报 25 417]
[14]	Steinberg D J, Cochran S G, Guinan W W 1980 J. Appl. Phys. 51 1948
[15]	Cox G A 2006 AIP Conf. Proc. Baltimore USA, July 31-August 5, 2005 p208
[16]	Song H F, Liu H F, Zhang G C, Zhao Y H 2009 Chin. Phys. Lett. 26 066401
[17]	Decremps F, Belhadi L, Farber D L, Moore K T, Occelli F, Gauthier M, Polian A, Antonangeli D, Aracne-Ruddle C M, Amadon B 2011 Phys. Rev. Lett. 106 065701
[18]	Voronov F F, Goncharova V A, Stalgorova O V 1979 J. Exp. Tech. Phys. 76 1351
[19]	Fowles G R 1961 J. Appl. Phys. 32 1475
[20]	Barker L M, Lundergan C D 1964 J. Appl. Phys. 35 1203
[21]	Dwivedi S K, Asay J R, Gupta Y M 2006 J. Appl. Phys. 100 083509
[22]	Singh A K 1980 High Temp. High Press. 12 47
[23]	Vinet P, Rose J H, Ferrante J, Smith J R 1989 J. Phys.: Condens. Matter 1 1941
[24]	Jensen B J, Cherne F J, Cooley J C, Zhernokletov M V, Kovalev A E 2010 Phys. Rev. B 81 214109
[25]	Lee E H, Liu D T 1967 J. Appl. Phys. 38 19
[26]	Li X M, Yu Y Y, Li Y H, Zhang L, Ma Y, Wang X S, Fu Q W 2010 Acta Phys. Sin. 59 2691 (in Chinese) [李雪梅, 俞宇颖, 李英华, 张林, 马云, 汪小松, 付秋卫 2010 59 2691]

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