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It is necessary to investigate the characteristics and the evolution law of metal deformation by using the appropriate strain analysis method. The deformation of metal is complex, so there exists no useful method to amalyze the local deformation characteristics and to describe the global equivalent deformation of deformed metal. In this paper, we propose a statistical moment method of strain analysis. Statistical moment method builds up the relationship between micro quantities and macro strain. For instance, it is used to study the deformations of monocrystal under uniaxial load and the nanocrystalline under shear and shock, showing that moment method can not only describe and evaluate the local and the global deformation of metal but also distinguish elastic and plastic deformation by nonuniform coefficient. Moment method is a general and effective way to investigate the deformation mechanism of complex structure material.
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Keywords:
- molecular dynamics /
- statistical moment /
- strain analysis /
- nanocrystalline
[1] Kumar K S , Swygenhoven H V , Suresh S 2003 Acta. Mater 51 5743
[2] Shan Z, Stach E A, Wiezorek J M K, Knapp J A, Follstaedt D M, Mao S X 2004 Science 304 654
[3] Ackland G J, Jones A P 2000 Phys. Rev. B 73 054104
[4] Honeycutt D J, Andersen H C 1987 J. Phys. Chem. 91 4950
[5] Kelchner C L, Plimpton S J, Hamilton J C 1998 Phys. Rev. B 58 11085
[6] Zhang G C, Xu A G, Lu G, Mo Z Y 2010 Sci. China. Phys. Mech. Astron 53 1610
[7] Schiøtz J, Jacobsen K W 2003 Science 301 1357
[8] Swygenhoven H V , Derlet P M 2001 Phys. Rev. B 64 224105
[9] Hasnaoui A, Swygenhoven H V, Derlet P M 2002 Phys. Rev. B 66 184112
[10] Yang Q L, Zhang G C, Xu A G, Zhao Y H, Li Y J 2008 Acta Phys. Sin. 57 0940 (in Chinese) [杨其利, 张广财, 许爱国, 赵艳红, 李英骏 2008 物理学报 57 0940]
[11] Chen K G, Zhu W J, Ma W, Deng X L, He H L,Jing F Q 2010 Acta Phys. Sin. 59 1125 (in Chinese) [陈开果, 祝文军, 马文, 邓小良, 贺红亮, 经福谦 2010 物理学报 bf59 1125]
[12] Ma W, Zhu W J, Chen K G, Jing F Q 2011 Acta Phys. Sin. 60 016107(in Chinese)[马文, 祝文军, 陈开果, 经福谦 2011 物理学报 60 016107]
[13] Mishin Y, Mehl M J, Papaconstantopoulos D A, Voter A F, Kress J D 2001 Phys. Rev. B 63 224016
[14] Siegel R W 1994 J. Phys. Chem. Solids 55 1097
[15] Natter H, Schmelzer M, Hempelmann R 1998 J. Mater. Res 13 1186
[16] Voronoi G Z, Angew R 1908 Math. 134 199
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[1] Kumar K S , Swygenhoven H V , Suresh S 2003 Acta. Mater 51 5743
[2] Shan Z, Stach E A, Wiezorek J M K, Knapp J A, Follstaedt D M, Mao S X 2004 Science 304 654
[3] Ackland G J, Jones A P 2000 Phys. Rev. B 73 054104
[4] Honeycutt D J, Andersen H C 1987 J. Phys. Chem. 91 4950
[5] Kelchner C L, Plimpton S J, Hamilton J C 1998 Phys. Rev. B 58 11085
[6] Zhang G C, Xu A G, Lu G, Mo Z Y 2010 Sci. China. Phys. Mech. Astron 53 1610
[7] Schiøtz J, Jacobsen K W 2003 Science 301 1357
[8] Swygenhoven H V , Derlet P M 2001 Phys. Rev. B 64 224105
[9] Hasnaoui A, Swygenhoven H V, Derlet P M 2002 Phys. Rev. B 66 184112
[10] Yang Q L, Zhang G C, Xu A G, Zhao Y H, Li Y J 2008 Acta Phys. Sin. 57 0940 (in Chinese) [杨其利, 张广财, 许爱国, 赵艳红, 李英骏 2008 物理学报 57 0940]
[11] Chen K G, Zhu W J, Ma W, Deng X L, He H L,Jing F Q 2010 Acta Phys. Sin. 59 1125 (in Chinese) [陈开果, 祝文军, 马文, 邓小良, 贺红亮, 经福谦 2010 物理学报 bf59 1125]
[12] Ma W, Zhu W J, Chen K G, Jing F Q 2011 Acta Phys. Sin. 60 016107(in Chinese)[马文, 祝文军, 陈开果, 经福谦 2011 物理学报 60 016107]
[13] Mishin Y, Mehl M J, Papaconstantopoulos D A, Voter A F, Kress J D 2001 Phys. Rev. B 63 224016
[14] Siegel R W 1994 J. Phys. Chem. Solids 55 1097
[15] Natter H, Schmelzer M, Hempelmann R 1998 J. Mater. Res 13 1186
[16] Voronoi G Z, Angew R 1908 Math. 134 199
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