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

doi:10.1007/s00205-018-1257-x

	From Atomistic Model to the Peierls-Nabarro Model with -surface for Dislocations
	Luo, Tao 1; Ming, Pingbing2,3 ; Xiang, Yang 1
	2018-11-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	230 期号:2 页码:735-781
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.
DOI	10.1007/s00205-018-1257-x
语种	英语
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
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000441282400009
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30798
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.