A generalized Peierls-Nabarro model for curved dislocations using discrete Fourier transform

	A generalized Peierls-Nabarro model for curved dislocations using discrete Fourier transform
	Wei, He 1; Xiang, Yang 2; Ming, Pingbing3
	2008-08-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	4 期号:2 页码:275-293
摘要	In this paper, we present a generalized Peierls-Nabarro model for curved dislocations using the discrete Fourier transform. In our model, the total energy is expressed in terms of the disregistry at the discrete lattice sites on the slip plane, and the elastic energy is obtained efficiently within the continuum framework using the discrete Fourier transform. Our model directly incorporates into the total energy both the Peierls energy for the motion of straight dislocations and the second Peierls energy for kink migration. The discreteness in both the elastic energy and the misfit energy, the full long-range elastic interaction for curved dislocations, and the changes of core and kink profiles with respect to the location of the dislocation or the kink are all included in our model. The model is presented for crystals with simple cubic lattice. Simulation results on the dislocation structure, Peierls energies and Peierls stresses of both straight and kinked dislocations are reported. These results qualitatively agree with those from experiments and atomistic simulations.
关键词	dislocation Peierls-Nabarro model Peierls stress Peierls energy dislocation kink
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000258445800003
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6558
专题	计算数学与科学工程计算研究所
通讯作者	Wei, He
作者单位	1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Conputat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wei, He,Xiang, Yang,Ming, Pingbing. A generalized Peierls-Nabarro model for curved dislocations using discrete Fourier transform[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2008,4(2):275-293.
APA	Wei, He,Xiang, Yang,&Ming, Pingbing.(2008).A generalized Peierls-Nabarro model for curved dislocations using discrete Fourier transform.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,4(2),275-293.
MLA	Wei, He,et al."A generalized Peierls-Nabarro model for curved dislocations using discrete Fourier transform".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 4.2(2008):275-293.