A generalized Peierls-Nabarro model for curved dislocations and core structures of dislocation loops in Al and Cu

被引:80
作者
Xiang, Yang [1 ]
Wei, He [2 ]
Ming, Pingbing [3 ]
E, Weinan [4 ,5 ]
机构
[1] Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
[4] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
[5] Princeton Univ, PACM, Princeton, NJ 08544 USA
基金
中国国家自然科学基金; 美国国家科学基金会;
关键词
dislocation; dislocation structures; micromechanical modeling; Peierls-Nabarro model;
D O I
10.1016/j.actamat.2007.11.033
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we present a generalized Peierls-Nabarro model for curved dislocations. In the generalized Peierls-Nabarro model, the anisotropic elastic energy is obtained efficiently by solving the elasticity system associated with the disregistry across the slip plane using the fast Fourier transform method, and the generalized stacking fault energy is used for the interplanar potential across the slip plane. Simulation results are reported on the core structures and the activation energies of dislocation loops in Al and Cu, incorporating both the elastic anisotropy and the full disregistry vector in the slip plane. (C) 2007 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:1447 / 1460
页数:14
相关论文
共 45 条
[41]   A VARIATION BOUNDARY INTEGRAL METHOD FOR THE ANALYSIS OF 3-D CRACKS OF ARBITRARY GEOMETRY MODELED AS CONTINUOUS DISTRIBUTIONS OF DISLOCATION LOOPS [J].
XU, G ;
ORTIZ, M .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1993, 36 (21) :3675-3701
[42]   A variational boundary integral method for the analysis of three-dimensional cracks of arbitrary geometry in anisotropic elastic solids [J].
Xu, G .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2000, 67 (02) :403-408
[43]   Homogeneous nucleation of dislocation loops under stress in perfect crystals [J].
Xu, GS ;
Argon, AS .
PHILOSOPHICAL MAGAZINE LETTERS, 2000, 80 (09) :605-611
[44]   Analysis of dislocation nucleation from a crystal surface based on the Peierls-Nabarro dislocation model [J].
Xu, GS ;
Zhang, CL .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2003, 51 (08) :1371-1394
[45]   Generalized stacking fault energies for embedded atom FCC metals [J].
Zimmerman, JA ;
Gao, HJ ;
Abraham, FF .
MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING, 2000, 8 (02) :103-115