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In the paper, we propose a new nucleation rate function, which combines grain size, and models for nucleation and growth of voids in a ductile polycrystalline metal. The proposed model is used to analyse the effects of grain size on the dynamic tensile damage of high purity Cu samples with different grain sizes. Numerical results show that pull-back minima and void number decrease with grain size increasing, slope after pull-back and average void diameter increase with grain size increasing. The computed results are in qualitative agreement with experimental results.
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Keywords:
- spallation /
- grain size /
- ductile metal /
- impact
[1] Chen D N, Tan H, Yu Y, Wang H, Xie S, Liu G, Yin Z 2006 Int J. Impact Eng. 32 1752
[2] Wang Y G, Chen D P, He H L, Wang L L, Jing F Q 2006 Acta Phys. Sin. 55 4202 (in Chinese) [王永刚, 陈登平, 贺红亮, 王礼立, 经福谦 2006 55 4202]
[3] Qi M L, He H L, Yan S L 2007 Acta Phys. Sin. 56 5965 (in Chinese) [祁美兰, 贺红亮, 晏石林 2007 56 5965]
[4] Deng X L, Zhu W J, Song Z F, He H L, Jing F Q 2009 Acta Phys. Sin. 58 4772 (in Chinese) [邓小良, 祝文军, 宋振飞, 贺红亮, 经福谦 2009 58 4772]
[5] Zhang F G, Zhou H Q, Zhang G C, Hong T 2011 Acta Phys. Sin. 60 074601 (in Chinese) [张凤国, 周洪强, 张广财, 洪滔 2011 60 074601]
[6] Wang Y G, He H L, Michel B, Toshimori S 2008 Acta Phys. Sin. 57 411 (in Chinese) [王永刚, 贺红亮, Boustie Michel, Sekine Toshimori 2008 57 411]
[7] Tekoglu C, Leblond J B, Pardoen T 2012 J. Mech. Phys. Solids 60 136
[8] Gurson A L 1977 J. Eng. Mater. Technol. 99 2
[9] Johnson J N 1981 J. Appl. Phys. 52 2812
[10] Seaman L, Curran D, Shockey D 1976 J. Appl. Phys. 47 4814
[11] Jacques N, Czarnota C, Mercier S, Molinari A 2010 Int. J. Fract. 162 159
[12] Bai Y L, Ke F J, Xia M F 1991 Acta Mech. Sin. 7 59
[13] Chen X, Asay J R, Dwivedi S K, Field D P 2006 J. Appl. Phys. 99 023528
[14] Meyers M A, Aimone C T 1983 Prog. Mater. Sci. 28 1
[15] Minich R W, Cazamias J U, Kumar M, Schwartz A J 2004 Metall. Mater. Trans. A 35A 2663
[16] Jacobi S, Zaretsky E, Shvart D 2000 J. Phys. IV France 10 Pr9-805
[17] Trivedi P B, Asay J R, Gupta Y M 2007 J. Appl. Phys. 102 083513
[18] Escobedo J P, Dennis-Koller D, Cerreta E K, Patterson B M, Bronkhorst C A, Hansen B L, Tonks D, Lebensohn R A 2011 J. Appl. Phys. 110 033513
[19] Lebensohn R A, Idiart M I, Castaneda P, Vincent P G 2011 Philos. Mag. 91 3038
[20] Zhang F G, Zhou H Q, Hu J, Shao J L, Zhang G C, Hong T, He B 2012 Chin. Phys. B 21 094601
[21] Molinari A, Wright T W 2005 J. Mech. Phys. Solids 53 1476
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[1] Chen D N, Tan H, Yu Y, Wang H, Xie S, Liu G, Yin Z 2006 Int J. Impact Eng. 32 1752
[2] Wang Y G, Chen D P, He H L, Wang L L, Jing F Q 2006 Acta Phys. Sin. 55 4202 (in Chinese) [王永刚, 陈登平, 贺红亮, 王礼立, 经福谦 2006 55 4202]
[3] Qi M L, He H L, Yan S L 2007 Acta Phys. Sin. 56 5965 (in Chinese) [祁美兰, 贺红亮, 晏石林 2007 56 5965]
[4] Deng X L, Zhu W J, Song Z F, He H L, Jing F Q 2009 Acta Phys. Sin. 58 4772 (in Chinese) [邓小良, 祝文军, 宋振飞, 贺红亮, 经福谦 2009 58 4772]
[5] Zhang F G, Zhou H Q, Zhang G C, Hong T 2011 Acta Phys. Sin. 60 074601 (in Chinese) [张凤国, 周洪强, 张广财, 洪滔 2011 60 074601]
[6] Wang Y G, He H L, Michel B, Toshimori S 2008 Acta Phys. Sin. 57 411 (in Chinese) [王永刚, 贺红亮, Boustie Michel, Sekine Toshimori 2008 57 411]
[7] Tekoglu C, Leblond J B, Pardoen T 2012 J. Mech. Phys. Solids 60 136
[8] Gurson A L 1977 J. Eng. Mater. Technol. 99 2
[9] Johnson J N 1981 J. Appl. Phys. 52 2812
[10] Seaman L, Curran D, Shockey D 1976 J. Appl. Phys. 47 4814
[11] Jacques N, Czarnota C, Mercier S, Molinari A 2010 Int. J. Fract. 162 159
[12] Bai Y L, Ke F J, Xia M F 1991 Acta Mech. Sin. 7 59
[13] Chen X, Asay J R, Dwivedi S K, Field D P 2006 J. Appl. Phys. 99 023528
[14] Meyers M A, Aimone C T 1983 Prog. Mater. Sci. 28 1
[15] Minich R W, Cazamias J U, Kumar M, Schwartz A J 2004 Metall. Mater. Trans. A 35A 2663
[16] Jacobi S, Zaretsky E, Shvart D 2000 J. Phys. IV France 10 Pr9-805
[17] Trivedi P B, Asay J R, Gupta Y M 2007 J. Appl. Phys. 102 083513
[18] Escobedo J P, Dennis-Koller D, Cerreta E K, Patterson B M, Bronkhorst C A, Hansen B L, Tonks D, Lebensohn R A 2011 J. Appl. Phys. 110 033513
[19] Lebensohn R A, Idiart M I, Castaneda P, Vincent P G 2011 Philos. Mag. 91 3038
[20] Zhang F G, Zhou H Q, Hu J, Shao J L, Zhang G C, Hong T, He B 2012 Chin. Phys. B 21 094601
[21] Molinari A, Wright T W 2005 J. Mech. Phys. Solids 53 1476
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