| Continuum model of a one-dimensional lattice of metamaterials | |
Zhou YH; Wei PJ(魏培君); Tang QH(汤奇恒) ; Wei, PJ (reprint author), Univ Sci & Technol Beijing, Dept Appl Mech, Beijing 100083, Peoples R China.; Wei, PJ (reprint author), Chinese Acad Sci, State Key Lab Nonlinear Mech LNM, Beijing, Peoples R China.
| |
| Source Publication | ACTA MECHANICA
 |
| 2016 | |
| Volume | 227Issue:8Pages:2361-2376 |
| ISSN | 0001-5970 |
| Abstract | The continuum model of a one-dimensional crystal lattice of a metamaterial is studied in this paper. First, the dispersive relation of a lattice wave in a one-dimensional crystal lattice of metamaterial is established and compared with that of the classic material. Then, the continuous medium modeling of the metamaterial is studied. It leads to the classical continuum model, the strain gradient continuum model, and the nonlocal gradient continuum model based on different assumptions. The disadvantages of the classic continuum model and the gradient continuum model are discussed. The nonlocal gradient continuum model is derived based on the nonlocal assumption of a continuous displacement field. The stability of dispersive curves is guaranteed, and the conceptions of negative mass and infinite mass are also avoided. The dispersive curves which correspond to the three kinds of models are compared with those of a discrete crystal lattice of metamaterial. The disadvantages of the classic continuum model and the gradient continuum model and the appropriate selection of a nonlocal parameter in the nonlocal gradient continuum model are discussed based on the numerical results. |
| DOI | 10.1007/s00707-016-1613-6 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000380365900016 |
| WOS Research Area | Mechanics |
| WOS Subject | Mechanics |
| Funding Organization | The work is supported by the National Natural Science Foundation of China (No. 10972029) and Opening fund of State Key Laboratory of Nonlinear Mechanics (LNM). |
| Department | LNM固体物理力学 |
| Classification | 二类 |
| Ranking | True |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/59758 |
| Collection | 非线性力学国家重点实验室 |
| Corresponding Author | Wei, PJ (reprint author), Univ Sci & Technol Beijing, Dept Appl Mech, Beijing 100083, Peoples R China.; Wei, PJ (reprint author), Chinese Acad Sci, State Key Lab Nonlinear Mech LNM, Beijing, Peoples R China. |
| Recommended Citation GB/T 7714 | Zhou YH,Wei PJ,Tang QH,et al. Continuum model of a one-dimensional lattice of metamaterials[J]. ACTA MECHANICA,2016,227,8,:2361-2376. |
| APA | Zhou YH,魏培君,汤奇恒,Wei, PJ ,&Wei, PJ .(2016).Continuum model of a one-dimensional lattice of metamaterials.ACTA MECHANICA,227(8),2361-2376. |
| MLA | Zhou YH,et al."Continuum model of a one-dimensional lattice of metamaterials".ACTA MECHANICA 227.8(2016):2361-2376. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| a2016-009.pdf（2605KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment