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

被引:77
|
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 50 条
  • [31] Studying hydrogen effect on the core structure and mobility of dislocation in nickel by atomistically-informed generalized Peierls-Nabarro model
    Zheng, Zhouqi
    Liang, Shuang
    Zhu, Yaxin
    Huang, Minsheng
    Li, Zhenhuan
    MECHANICS OF MATERIALS, 2020, 140 (140)
  • [32] PNADIS: An automated Peierls-Nabarro analyzer for dislocation core structure and slip resistance
    Zhang, S. H.
    Legut, D.
    Zhang, R. F.
    COMPUTER PHYSICS COMMUNICATIONS, 2019, 240 : 60 - 73
  • [33] LONG TIME BEHAVIOR OF DYNAMIC SOLUTION TO PEIERLS-NABARRO DISLOCATION MODEL
    Gao, Yuan
    Liu, Jian-Guo
    METHODS AND APPLICATIONS OF ANALYSIS, 2020, 27 (02) : 161 - 197
  • [34] PEIERLS-NABARRO MODEL OF NON-PLANAR SCREW DISLOCATION CORES
    LEJCEK, L
    KROUPA, F
    CZECHOSLOVAK JOURNAL OF PHYSICS, 1976, 26 (05) : 528 - 537
  • [35] Atomically informed nonlocal semi-discrete variational Peierls-Nabarro model for planar core dislocations
    Guisen Liu
    Xi Cheng
    Jian Wang
    Kaiguo Chen
    Yao Shen
    Scientific Reports, 7
  • [36] Atomically informed nonlocal semi-discrete variational Peierls-Nabarro model for planar core dislocations
    Liu, Guisen
    Cheng, Xi
    Wang, Jian
    Chen, Kaiguo
    Shen, Yao
    SCIENTIFIC REPORTS, 2017, 7
  • [37] Nonplanar core structure of the screw dislocations in tantalum from the improved Peierls-Nabarro theory
    Hu, Xiangsheng
    Wang, Shaofeng
    PHILOSOPHICAL MAGAZINE, 2018, 98 (06) : 484 - 516
  • [38] Dislocation modeling in calcium silicate perovskite based on the Peierls-Nabarro model
    Ferre, Denise
    Cordier, Patrick
    Carrez, Philippe
    AMERICAN MINERALOGIST, 2009, 94 (01) : 135 - 142
  • [39] GENERALIZATION OF PEIERLS-NABARRO MODEL FOR NON-PLANAR DISLOCATION CORES
    KROUPA, F
    LEJCEK, L
    PHYSICA STATUS SOLIDI A-APPLICATIONS AND MATERIALS SCIENCE, 1975, 29 (01): : K39 - K41
  • [40] RESEARCH ON THERMODYNAMIC FORMULATION OF LAW OF SHIFT OF DISLOCATIONS USING PEIERLS-NABARRO MODEL
    GOUZOU, J
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE C, 1971, 272 (24): : 1941 - &