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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.
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Keywords:
- phase transformation /
- shock wave /
- constitutive equation /
- cerium
[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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[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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