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From Atomistic Model to the Peierls-Nabarro Model with -surface for Dislocations
Luo, Tao1; Ming, Pingbing2,3; Xiang, Yang1
2018-11-01
Source PublicationARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN0003-9527
Volume230Issue:2Pages:735-781
AbstractThe Peierls-Nabarro (PN) model for dislocations is a hybrid model that incorporates the atomistic information of the dislocation core structure into the continuum theory. In this paper, we study the convergence from a full atomistic model to the PN model with -surface for the dislocation in a bilayer system. We prove that the displacement field and the total energy of the dislocation solution of the PN model are asymptotically close to those of the full atomistic model. Our work can be considered as a generalization of the analysis of the convergence from atomistic model to Cauchy-Born rule for crystals without defects.
DOI10.1007/s00205-018-1257-x
Language英语
Funding ProjectHong Kong Research Grants Council General Research Fund[16313316] ; National Natural Science Foundation of China for Distinguished Young Scholars[11425106] ; National Natural Science Foundation of China[91630313] ; CAS NCMIS
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
WOS IDWOS:000441282400009
PublisherSPRINGER
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30798
Collection计算数学与科学工程计算研究所
Affiliation1.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China
2.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, 55 East Rd Zhong Guan Cun, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Luo, Tao,Ming, Pingbing,Xiang, Yang. From Atomistic Model to the Peierls-Nabarro Model with -surface for Dislocations[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2018,230(2):735-781.
APA Luo, Tao,Ming, Pingbing,&Xiang, Yang.(2018).From Atomistic Model to the Peierls-Nabarro Model with -surface for Dislocations.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,230(2),735-781.
MLA Luo, Tao,et al."From Atomistic Model to the Peierls-Nabarro Model with -surface for Dislocations".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 230.2(2018):735-781.
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