单晶硅力学性能及尺寸效应的离散元模拟

中国机械工程 ›› 2010, Vol. 21 ›› Issue (05): 589-594.

单晶硅力学性能及尺寸效应的离散元模拟

姜胜强;谭援强;李才;杨冬民

湘潭大学，湘潭，411105

出版日期:2010-03-10 发布日期:2010-03-22
基金资助:
国家自然科学基金资助项目(50875224)；教育部新世纪优秀人才支持计划资助项目(NCET06-0708)
National Natural Science Foundation of China（No. 50875224）;
Program for New Century Excellent Talents in University of Ministry of Education of China（No. NCET06-0708）

Study on Mechanics Properties and Size Effect of Monocrystalle Silicon Using Discrete Element Method

Jiang Shengqiang;Tan Yuanqiang;Li Cai;Yang Dongmin

Xiangtan University，Xiangtan，Hunan，411105

Online:2010-03-10 Published:2010-03-22
Supported by:

National Natural Science Foundation of China（No. 50875224）;
Program for New Century Excellent Talents in University of Ministry of Education of China（No. NCET06-0708）

摘要/Abstract

摘要：

通过建立紧密连接且随机分布在指定区域内的圆盘形颗粒离散单元的力学模型来研究单晶硅的力学性能，并采用不同尺寸的离散元模型研究力学性能尺寸效应。结果表明：泊松比、单轴抗压强度、弹性模量以及断裂韧性的尺寸效应不明显，弯曲强度则随着模型尺寸的增大而减小。建立了连续体经典断裂力学有限宽板条单边直裂纹的离散元力学模型，改变初始裂纹长度进行模拟得到的结果与单边切口梁模拟结果及文献报道的试验值一致。



关键词:

单晶硅, 力学特性, 模拟, 离散元法

Abstract:

The mechanics models formed by packed circular discrete elements and randomly distributed in a specified region were used to investigate the mechanics properties of monocrystalle-silicon, and some different sizes of discrete element model were carried out to study the size effect of mechanics properties. The simulation results suggest that there is no obvious size effect for Poisson's ratio, compressive strength and Young's modulus and fracture toughness. However, the value of flexural strength decreases with the increasing of the model size.The discrete element model of classical continuum fracture mechanics was used to simulate the fracture process of single edge vertical crack plate with finite-width under tensile stress in infinite distance. The simulation results which obtained by changing the initiate crack length of model are just the same with the simulation results of single edge notched bending(SENB) and the experimental values reported in other literatures.

Key words:

monocrystalle silicon, mechanics property, simulation, discrete element method

中图分类号:

TG58

姜胜强, 谭援强, 李才, 杨冬民.

单晶硅力学性能及尺寸效应的离散元模拟

[J]. 中国机械工程, 2010, 21(05): 589-594.

JIANG Qing-Jiang, TAN Huan-Jiang, LI Cai, YANG Dong-Min.

Study on Mechanics Properties and Size Effect of Monocrystalle Silicon Using Discrete Element Method

[J]. China Mechanical Engineering, 2010, 21(05): 589-594.

参考文献

[1]Xue Z, Saif M T A, Huang Y. The Strain Fradient Effect in Microelectromechanical Systems (MEMS) [J]. Journal of Microelectromechanical Systems, 2002, 11(1) :27-35.
[2]Serry F M,Walliser D, Maclay G J. The Anharmonic Casimir Cscillator(ACO )----the Casimir Effect in a Model Microeleetromechanical System[J].Journal of MicroelectTomechanical Systems, 1995,4 (4) : 193-205.
[3]Bazant Z P,Chen Er-ping. Scaling of Structural Failure [J].Applied Mechanics Reviews, 1997,50 (10) : 593 -627.
[4]Han Guangping, Liu Kai. Mechanical Properties and Size Effects of Single Crystal Silicon[J]. Chinese Journal of Mechanical Engineering, 2006,19 (2) : 290-293.
[5]刘凯欣[1],郑文刚[2],高凌天[3].脆性材料动态破坏过程的数值模拟[J].计算力学学报,2003,20(2):127-132. 3
[6]Tan Yuanqiang, Yang Dongmin, Sheng Yong. Study of Polycrystalline Al2O3 Machining Cracks Using Discrete Element Method[J].International Journal of Machine Tools & Manufacture, 2008,48(9) : 975-982.
[7]Fujii T, Akiniwa Y. Molecular Dynamics Analysis for Fracture Behavior of Single Crystal Silicon Thin Film with Micronotch[J]. Modeling and Simulation in Materials Science and Engineering, 2006,14 : 73-83.
[8]Potyondy D O,Cundall P A. A Bonded--particle Model for Rock[J]. International Journal of Rock Mechanics & Mining Science,2004,41(8):1329-1364.
[9]PFC2D User' s Manuals[M]. Lakewood, Colorado, USA: Itasca Consulting Group Inc. ,2002.
[10]刘加富.线锯切割单晶硅的应力场及损伤层研究 [D].山东大学,2006:
[11]Sundararajan S, Bhushan B. Fracture Development of AFMbased Techniques to Measure Mechanical Properties of Nanoscale Structures[J]. Sensors and Actuators A : Physical,2002,101(3) :338-351.
[12]Koyama T,Jing L. Effects of Model Scale and Particle Size on Micromechanical Properties and Failure Processes of Rocks a Particle Mechanics Approach [J]. Engineering Analysis with Boundary Elements, 2007,31(5) :458-472.
[13]张建生.断裂力学与断裂物理[M].武汉:华中科技大学出版社,2003.

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