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From Atomistic Model to the Peierls-Nabarro Model with -surface for Dislocations

文献类型：期刊论文

作者Luo, Tao1; Ming, Pingbing2,3; Xiang, Yang1
刊名ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
出版日期2018-11-01
卷号230期号:2页码:735-781
ISSN号0003-9527
DOI10.1007/s00205-018-1257-x
英文摘要The 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.
资助项目Hong 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研究方向Mathematics ; Mechanics
语种英语
WOS记录号WOS:000441282400009
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/30797]  
专题计算数学与科学工程计算研究所
通讯作者Luo, Tao
作者单位1.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
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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