晶粒尺度对延性金属材料层裂损伤的影响

张凤国; 周洪强

doi:10.7498/aps.62.164601

摘要

微细观结构对材料动态损伤、破坏的影响是目前国内外力学领域的研究热点之一. 基于相关文献的实验结果, 通过理论分析, 给出了一个新的反映晶粒尺度效应的孔洞成核模型, 并将其耦合到延性金属材料层裂损伤模型中. 采用数值方法分析了晶粒尺度对高纯铜材料层裂损伤演化过程的影响. 计算结果显示: 随着材料平均晶粒尺度的增加, 自由面速度回跳点降低, 回跳后速度曲线的斜率增加; 损伤材料内部的孔洞数减少、平均孔洞尺寸增大.计算结果与相关文献所报道的实验分析结果定性上符合较好. 该结果对于层裂损伤的深入研究具有一定的启发性.

关键词:

Abstract

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.

Keywords:

spallation /
grain size /
ductile metal /
impact

作者及机构信息

1.
北京应用物理与计算数学研究所, 北京 100094

基金项目: 国家自然科学基金青年科学基金(批准号: 11202034)和中国工程物理研究院科学技术发展基金(批准号: 2013B0101013，2011B0101028)资助的课题.

Authors and contacts

1.
Institute of Applied Physics and Computational Mathematics, Beijing 100094, China

Funds: Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11202034) and the Science and Technology Development Foundation of China Academy of Engineering Physics (Grant Nos. 2013B0101013，2011B0101028).

参考文献

[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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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

施引文献

[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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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

计量

文章访问数: 5186
PDF下载量: 600
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板