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Continuum model of acoustic metamaterials with diatomic crystal lattice
Zhou, Yahong; Wei, Peijun; Li, Yueqiu; Tang QH(汤奇恒); Wei, PJ (reprint author), Univ Sci & Technol Beijing, Dept Appl Mech, Beijing 100083, Peoples R China.
Source PublicationMECHANICS OF ADVANCED MATERIALS AND STRUCTURES
2017
Volume24Issue:13Pages:1059-1073
ISSN1537-6494
AbstractThe continuum model of one-dimensional acoustic metamaterial with diatomic crystal lattice is studied in this article. First, the dispersive relation of lattice wave in one-dimensional diatomic crystal lattice of metamaterial is established and compared with that of the classic material. Then, the continuum model of the acoustic metamaterial leads to the classical continuum model, the stain gradient continuum model, and the nonlocal gradient continuum model based on different assumptions. The dispersive curves, which correspond to the three kinds of models, are shown graphically and compared with that of discrete crystal lattice of metamaterial. The disadvantage of the classic continuum model and the strain gradient continuum model are discussed. The nonlocal gradient continuum model is derived based on the nonlocal assumption of continuous displacement field. The stability of dispersive curves is guaranteed. However, the actual prediction effects are still dependent upon the appropriate selection of the nonlocal parameter in the nonlocal gradient continuum model.
KeywordMetamaterial Dispersion Relations Diatomic Lattice Strain Gradient Continuum Nonlocal Gradient Continuum
DOI10.1080/15376494.2016.1205685
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000407546300001
WOS KeywordGRADIENT ELASTICITY ; MATRIX FUNCTIONS ; DYNAMICS
WOS Research AreaMaterials Science ; Mechanics
WOS SubjectMaterials Science, Multidisciplinary ; Mechanics ; Materials Science, Characterization & Testing ; Materials Science, Composites
Funding OrganizationNational Natural Science Foundation of China(10972029) ; State Key Laboratory of Nonlinear Mechanics (LNM)
DepartmentLNM固体物理力学
Classification二类
Ranking4
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/70027
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.
Recommended Citation
GB/T 7714
Zhou, Yahong,Wei, Peijun,Li, Yueqiu,et al. Continuum model of acoustic metamaterials with diatomic crystal lattice[J]. MECHANICS OF ADVANCED MATERIALS AND STRUCTURES,2017,24(13):1059-1073.
APA Zhou, Yahong,Wei, Peijun,Li, Yueqiu,汤奇恒,&Wei, PJ .(2017).Continuum model of acoustic metamaterials with diatomic crystal lattice.MECHANICS OF ADVANCED MATERIALS AND STRUCTURES,24(13),1059-1073.
MLA Zhou, Yahong,et al."Continuum model of acoustic metamaterials with diatomic crystal lattice".MECHANICS OF ADVANCED MATERIALS AND STRUCTURES 24.13(2017):1059-1073.
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