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A generalized Peierls-Nabarro model for curved dislocations using discrete Fourier transform
Wei, He1; Xiang, Yang2; Ming, Pingbing3
2008-08-01
Source PublicationCOMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN1815-2406
Volume4Issue:2Pages:275-293
AbstractIn 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.
Keyworddislocation Peierls-Nabarro model Peierls stress Peierls energy dislocation kink
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000258445800003
PublisherGLOBAL SCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/6558
Collection计算数学与科学工程计算研究所
Corresponding AuthorWei, He
Affiliation1.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
Recommended Citation
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.
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