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.
刊名MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
2017
卷号24期号:13页码:1059-1073
关键词Metamaterial Dispersion Relations Diatomic Lattice Strain Gradient Continuum Nonlocal Gradient Continuum
ISSN号1537-6494
DOI10.1080/15376494.2016.1205685
文献子类Article
英文摘要The 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.
分类号二类
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WOS关键词GRADIENT ELASTICITY ; MATRIX FUNCTIONS ; DYNAMICS
WOS研究方向Materials Science ; Mechanics
语种英语
WOS记录号WOS:000407546300001
资助机构National Natural Science Foundation of China(10972029) ; State Key Laboratory of Nonlinear Mechanics (LNM)
内容类型期刊论文
源URL[http://dspace.imech.ac.cn/handle/311007/70027]  
专题力学研究所_非线性力学国家重点实验室
通讯作者Wei, PJ (reprint author), Univ Sci & Technol Beijing, Dept Appl Mech, Beijing 100083, Peoples R China.
推荐引用方式
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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