应用CBR确定面心立方金属的表面弹性参量

刘建云; 宋晶如; 魏悦广

doi:10.6052/0459-1879-12-372

应用CBR确定面心立方金属的表面弹性参量

doi: 10.6052/0459-1879-12-372

中国科学院力学研究所非线性力学国家重点实验室, 北京 100190

基金项目: 国家自然科学基金资助项目(11021262, 10932011).

详细信息

通讯作者:
魏悦广,研究员,主要研究方向:跨尺度力学理论、实验及模拟研究.E-mail:ywei@lnm.imech.ac.cn

中图分类号: O033
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- 被引次数: 0
出版历程
- 收稿日期: 2012-12-24
- 修回日期: 2013-02-20
- 刊出日期: 2013-07-18

DETERMINATIONS OF SURFACE ELASTIC PARAMETERS OF FCC-METALS BY USING THE CAUCHY-BORN RULE

LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

Funds: The project was supported by the National Natural Science Foundation of China (11021262, 10932011).

摘要

摘要: 首先从能量变分出发基于同时考虑应变梯度效应和表面效应的跨尺度力学理论, 推导出表面能和表面弹性本构等基本关系, 然后基于简单的准连续Cauchy-Born法则(CBR)建立一种确定表面能密度以及表面弹性参量的方法.进一步以面心立方(face-centre-cubic,FCC)金属为例, 系统地获得了常用FCC金属表面弹性参量的数值, 结果与他人应用分子动力学计算得到的结果相吻合.
- 跨尺度力学理论 /
- 面心立方金属 /
- Cauchy-Born法则 /
- 表面能密度 /
- 表面弹性参量
Abstract: First, fundamental relations on the surface energy density and surface elastic constitutive equations are derived based on the trans-scale mechanics theory considering both strain gradient and surface effects through energy variation. Second, a new method to determine both surface energy density and surface elastic parameters is developed based on a simple quasi-continuity scheme, Cauchy-Born rule. Furthermore, taking the face-centre-cubic (FCC) metals as examples, we systematically obtain the values of the surface elastic parameters for typical fcc metals which are consistent with others results by using the molecular dynamic simulations.
- trans-scale mechanics theory /
- FCC metals /
- Cauchy-Born rule /
- surface energy density /
- surface elastic parameter

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参考文献(25)

Fleck NA, Hutchinson JW. A reformulation of strain gradient plasticity. Journal of the Mechanics and Physics of Solids, 2001, 49: 2245-2271

Wei YG. Particulate size effects in the particle-reinforced metal-matrix composites. Acta Mechanica Sinica (English Series), 2001, 17: 45-58

Wei YG, Hutchinson JW. Steady-state crack growth and work of fracture for solids characterized by strain gradient plasticity. Journal of the Mechanics and Physics of Solids, 1997, 45: 1253-1273

Lazopoulos KA, Lazopoulos AK. On the torsion problem of strain gradient elastic bars. Mechanics Research Communications, 2012, 45: 42-47

Stolken JS, Evans AG. A microbend test method for measuring the plasticity length scale. Acta Materialia, 1998, 46: 5109-5115

Begley MR, Hutchinson JW. The mechanics of size-dependent indentation. Journal of the Mechanics and Physics of Solids, 1998, 46: 2049-2068

Chen XL, Ma HS, Liang LH, et al. A surface energy model and application to mechanical behavior analysis of single crystals at sub-micron scale. Computational Materials Science, 2009, 46: 723-727

Duan HL, Wang J, Karihaloo BL, et al. Nanoporous materials can be made stiffer than non-porous counterparts by surface modification. Acta Materialia, 2006, 54: 2983-2990

Gao W, Yu SW, Huang GY. Finite element characterization of the size-dependent mechanical behavior in nanosystems. Nanotechnology, 2006, 17: 1118-1122

Wang GF, Feng XQ, Wang TJ, et al. Surface effects on the near-tip stresses for mode-I and mode-III cracks. Journal of Applied Mechanics, 2008, 75: 011001

Ma HS, Hu GK. Eshelby tensors for an ellipsoidal inclusion in a micropolar material. International Journal of Engineering Science, 2006, 44: 595-605

Wu B, Liang LH, Ma HS, et al. A trans-scale model for size effects and intergranular fracture in nanocrystalline and ultra-fine polycrystalline metals. Computational Materials Science, 2012, 57: 2-7

Gibbs JW. The Scientific Papers of J. Willard Gibbs, Volume. I: Thermodynamics. New York: Longmans-Green, 1906

付宝勤. 基于固体与分子经验电子理论的表面能分析及计算.[博士论文]. 北京:北京化工大学, 2010 (Fu Baoqin, Analysis and calculation of surface energy with the empirical electron theory in solid and molecule. [PhD Thesis]. Beijing: Beijing University of Chemical Technology, 2010 (in Chinese))

Gibbs JW. The Collected Works of J Willard Gibbs. Volume I, Thermodynamics. New York: Longmans, Green, and Company, 1928

Shuttleworth R. The surface tension of solids. Proc Phys Soc A, 1950, 63: 444-457

Park HS. Quantifying the size-dependent effect of the residual surface stress on the resonant frequencies of silicon nanowires if finite deformation kinematics are considered. Nanotechnology, 2009, 20: 206102

Meade RD, Vanderbilt D. Origins of stress on elemental and chemisorbed semiconductor surfaces. Physical Review Letter, 1989, 63: 1404

Needs RJ. Calculations of the surface stress tensor at aluminum (111) and (110) surface. Physical Review Letter, 1987, 58: 53

Shenoy VB. Atomistic calculations of elastic properties of metallic fcc crystal surfaces. Physical Review B, 2005, 71: 094104

Mi CW, Jun S, Kouris DA. Atomistic calculations of interface elastic properties in noncoherent metallic bilayers. Physical Review B, 2008, 77: 075425

Pahlevani L, Shodja HM. Surface and interface effects on torsion of eccentrically two-phase fcc circular nanorods: determination of the surface/interface elastic properties via an atomistic approach. Journal of Applied Mechanics, 2011, 78: 011011

Steinmann P, Elizondo A, Sunyk R. Studies of validity of the Cauchy-Born rule by direct comparison of continuum and atomistic modelling. Modelling and Simulation in Materials Science and Engineering, 2007, 15: S271-S281

Johnson RA. Alloy models with the embedded-atom method. Physical Review B, 1989, 37: 12554

Rafii-Tabar H, Suttton AP. Long-range Finnis-Sinclair potentials for fcc metallic alloys. Philosophical Magazine Letters, 1991, 63: 217-224

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