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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 PublicationACTA MECHANICA
2016
Volume227Issue:8Pages:2361-2376
ISSN0001-5970
AbstractThe 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.
DOI10.1007/s00707-016-1613-6
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000380365900016
WOS Research AreaMechanics
WOS SubjectMechanics
Funding OrganizationThe work is supported by the National Natural Science Foundation of China (No. 10972029) and Opening fund of State Key Laboratory of Nonlinear Mechanics (LNM).
DepartmentLNM固体物理力学
Classification二类
RankingTrue
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Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/59758
Collection非线性力学国家重点实验室
Corresponding AuthorWei, 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.
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