| 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.
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| 发表期刊 | ACTA MECHANICA
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| 2016
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| 卷号 | 227期号:8页码:2361-2376 |
| ISSN | 0001-5970
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| 摘要 | 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
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| URL | 查看原文
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| 收录类别 | SCI
; EI
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| 语种 | 英语
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| WOS记录号 | WOS:000380365900016
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| WOS研究方向 | Mechanics
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| WOS类目 | Mechanics
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| 项目资助者 | 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).
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| 课题组名称 | LNM固体物理力学
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| 论文分区 | 二类
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| 力学所作者排名 | True
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://dspace.imech.ac.cn/handle/311007/59758
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| 专题 | 非线性力学国家重点实验室
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| 通讯作者 | 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. |
推荐引用方式
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.
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| 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.
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| MLA |
Zhou YH,et al."Continuum model of a one-dimensional lattice of metamaterials".ACTA MECHANICA 227.8(2016):2361-2376.
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