KMS Of Academy of mathematics and systems sciences, CAS
| From Atomistic Model to the Peierls-Nabarro Model with -surface for Dislocations | |
Luo, Tao1; Ming, Pingbing2,3 ; Xiang, Yang1
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| 2018-11-01 | |
| Source Publication | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
 |
| ISSN | 0003-9527 |
| Volume | 230Issue:2Pages:735-781 |
| Abstract | 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 |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics ; Mechanics |
| WOS Subject | Mathematics, Applied ; Mechanics |
| WOS ID | WOS:000441282400009 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/30798 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Luo, Tao |
| Affiliation | 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 |
| 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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