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

doi:10.1007/s00205-018-1257-x

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	From Atomistic Model to the Peierls-Nabarro Model with -surface for Dislocations
	Luo, Tao 1; Ming, Pingbing2,3 ; Xiang, Yang 1
刊名	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
	2018-11-01
卷号	230 期号:2 页码:735-781
ISSN号	0003-9527
DOI	10.1007/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
出版者	SPRINGER
WOS记录号	WOS:000441282400009
内容类型	期刊论文
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.