Chin. Phys. Lett.  2009, Vol. 26 Issue (2): 026103    DOI: 10.1088/0256-307X/26/2/026103
CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
Theoretical Strength of Face-Centred-Cubic Single Crystal Copper Based on a Continuum Model
LIU Xiao-Ming, LIU Zhan-Li, YOU Xiao-Chuan, NIE Jun-Feng, ZHUANG Zhuo
School of Aerospace, Tsinghua University, Beijing 100084
Cite this article:   
LIU Xiao-Ming, LIU Zhan-Li, YOU Xiao-Chuan et al  2009 Chin. Phys. Lett. 26 026103
Download: PDF(440KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract The constitutive relation of single crystal copper based on atomistic potential is implemented to capture the nonlinear inter-atomic interactions. Uniaxial loading tests of single crystal copper with inter-atomic potential finite-element model are carried out to determine the corresponding ideal strength using the modified Born stability criteria. Dependence of the ideal strength on the crystallographic orientation is studied, and tension-compression asymmetry in ideal strength is also investigated. The results suggest that asymmetry for yielding strength of nano-materials may result from anisotropic character of crystal instability. Moreover, the results also reveal that the critical resolved shear stress in the direction of slip is not an accurate criterion for the ideal strength since it could not capture the dependence on the loading conditions and hydrostatic stress components for the ideal strength.
Keywords: 61.50.Ah      62.20.Fg      34.20.Cf     
Received: 09 September 2008      Published: 20 January 2009
PACS:  61.50.Ah (Theory of crystal structure, crystal symmetry; calculations and modeling)  
  62.20.fg (Shape-memory effect; yield stress; superelasticity)  
  34.20.Cf (Interatomic potentials and forces)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/26/2/026103       OR      https://cpl.iphy.ac.cn/Y2009/V26/I2/026103
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
LIU Xiao-Ming
LIU Zhan-Li
YOU Xiao-Chuan
NIE Jun-Feng
ZHUANG Zhuo
[1] Shan Z W, Mishra R K, Syed Asif S A, Warren O L and MinorA M 2008 Nature Mater. 7 115
[2] Uchic M D, Dimiduk D M, Florando J N and Nix W D 2004 Science 305 986
[3] Wang W, Lu K 2006 Philos. Mag. 86 5309
[4] Bei H, Gao Y F, Shim S, George E P and Pharr G M 2008 Phys. Rev. B 77 60103
[5] Li J, Van Vliet K J, Zhu T, Yip S and Suresh S 2002 Nature 418 307-310
[6] Ogata S, Li J and Yip S 2002 Science 298 807
[7] Wang S Q, Ye H Q and Yip S 2006 J. Phys.: Condens.Matter 18 395
[8] Cerny M, Pokluda J 2007 Phys. Rev. B 76 024115
[9] Zhu T, Li J, J. Van Vliet K, Ogata S, Yip S and Suresh S2004 J. Mech. Phys. Solids 52 691
[10] Li W and Wang T 1998 J. Phys: Condens. Matter 10 9889
[11] Zhang J M, Yang Y, Xu K W and Ji V 2008 Comput.Mater. Sci. 43 917
[12] Marszalek P E, Greenleaf W J, Li H, Oberhauser A F andFernandez J M 2000 Proc. Natl. Acad. Sci. U.S.A. 976282
[13] Diao J K, Gall K and Dunn M L 2004 Nano Lett 4 1863
[14] Lin Y and Pen D 2007 Nanotechnology 18 395705
[15] Park H S and Klein P A 2007 Phys. Rev. B 7585408
[16] Liu X H, Gu J F, Shen Y and Chen C F 2008 ScriptaMaterialia 58 564
[17] Tadmor E B, Ortiz M and Phillips R 1996 Philos.Mag. A 73 1529
[18] Shenoy V B, Miller R, Tadmor E, Rodney D, Phillips R andOrtiz M 1999 J. Mech. Phys. Solids 47 611
[19] Abraham F F and Gao H 2000 Phys. Rev. Lett. 84 3113
[20] Arroyo M and Belytschko T 2002 J. Mech. Phys.Solids 50 1941
[21] Zhang P, Huang Y, Geubelle P H, Klein P A and Hwang K C2002 Int. J. Solids Struct. 39 3893
[22] Wu J, Hwang K C and Huang Y 2008 J. Mech. Phys.Solids 56 279
[23] Born M and Huang K 1956 Dynamical Theory of CrystalLattices. (Oxford: Clarendon)
[24] Wang J, Yip S, Phillpot S R and Wolf D 1993 Phys.Rev. Lett. 71 4182
[25] Mishin Y, Mehl M J, Papaconstantopoulos D A, Voter A Fand Kress J D 2001 Phys. Rev. B 63 224106
[26] Cerny M, Sob M, Pokluda J and Sandera P 2004 J.Phys.: Condens. Matter 16 1045
[27] Tschopp M A and McDowell D L 2007 Appl. Phys. Lett. 90 121916
[28] Tschopp M A and McDowell D L 2008 J. Mech. Phys.Solids 56 1806
[29] Park H S, Gall K and Zimmerman J A 2005 Phys. Rev.Lett. 95 255504
[30] Zhu T, Li J, Samanta A, Leach A and Gall K 2008 Phys. Rev. Lett. 100 25502
[31] Tschopp M A, Spearot D E and McDowell D L 2007 Modelling and Simulation in Materials Science and Engineering 15 693
Related articles from Frontiers Journals
[1] LIU Yang**,PENG Xing-Ping. Validity of Nonlinear Thermodynamic Models in Ferroelectric-Paraelectric Bilayers and Superlattices[J]. Chin. Phys. Lett., 2012, 29(5): 026103
[2] LUO Xiao-Guang, HE Ju-Long. B–C–N Compounds with Mixed Hybridization of sp2-Like and sp3-Like Bonds[J]. Chin. Phys. Lett., 2012, 29(3): 026103
[3] ZHANG Jing, CHEN Zheng, ZHUANG Hou-Chuan, LU Yan-Li. Microscopic Phase-Field Study of the Occupancy Probability of α Sublattices Involving Coordination Environmental Difference for D022−Ni3V[J]. Chin. Phys. Lett., 2012, 29(2): 026103
[4] SONG Hua-Jie, HUANG Feng-Lei** . Accurately Predicting the Density and Hydrostatic Compression of Hexahydro-1,3,5-Trinitro-1,3,5-Triazine from First Principles[J]. Chin. Phys. Lett., 2011, 28(9): 026103
[5] Jamieson M. J.**, Ouerdane H., . Parameters for Cold Collisions of Lithium and Caesium Atoms[J]. Chin. Phys. Lett., 2011, 28(6): 026103
[6] LIU Yang**, PENG Xing-Ping . Strain Effects of the Structural Characteristics of Ferroelectric Transition in Single-Domain Epitaxial BiFeO3 Films[J]. Chin. Phys. Lett., 2011, 28(6): 026103
[7] DENG Hong-Yan, HAO Wei-Chang, XU Huai-Zhe** . A Transition Phase in the Transformation from α-;, β- and ϵ- to δ-Bismuth Oxide[J]. Chin. Phys. Lett., 2011, 28(5): 026103
[8] HU Qiu-Bo, ZHANG Yong-Sheng, SUN Jin-Feng, YU Ke . Elastic Scattering between Ultracold 23Na and 85Rb Atoms in the Triplet State[J]. Chin. Phys. Lett., 2011, 28(4): 026103
[9] O. Bayrak**, A. Soylu, I. Boztosun . Effect of the Velocity-Dependent Potentials on the Bound State Energy Eigenvalues[J]. Chin. Phys. Lett., 2011, 28(4): 026103
[10] ZHANG Ji-Cai**, ZHU Zun-Lue, LIU Yu-Fang, SUN Jin-Feng, . Elastic Scattering Properties of Ultracold Strontium Atoms[J]. Chin. Phys. Lett., 2011, 28(12): 026103
[11] YUAN Xiao-Jian, **, CHEN Nan-Xian, SHEN Jiang . Lattice-Inversion Embedded-Atom-Method Interatomic Potentials for Group-VA Transition Metals[J]. Chin. Phys. Lett., 2011, 28(12): 026103
[12] HU Qian-Ku, **, WANG Hai-Yan, WU Qing-Hua, HE Ju-Long, ZHANG Guang-Lei . Structural and Electronic Properties, and Pressure-Induced Phase Transition of Layered C5N: a First-Principles Investigation[J]. Chin. Phys. Lett., 2011, 28(12): 026103
[13] LI Li-Juan, ZHAO Ming-Wen, JI Yan-Ju, LI Feng, LIU Xiang-Dong. Energetic Evolution of Single-Crystalline ZnO Nanowires and Nanotubes[J]. Chin. Phys. Lett., 2010, 27(8): 026103
[14] JIN Yun-Fei, YE Xiang-Xi, LI Jing-Tian, ZHANG Wen-Xian, ZHUANG Jun, NING Xi-Jing,. A Simple Theoretical Method to Predict the Hardness of Pure Metal Crystals[J]. Chin. Phys. Lett., 2010, 27(7): 026103
[15] HU Qiu-Bo, ZHANG Yong-Sheng, SUN Jin-Feng. Elastic Scattering of Ultracold 23Na and 39K Atoms in the Singlet State[J]. Chin. Phys. Lett., 2010, 27(2): 026103
Viewed
Full text


Abstract