| Band gaps of elastic waves in 1-D phononic crystal with dipolar gradient elasticity |
| Li YQ; Wei PJ(魏培君); Zhou YH; Wei, PJ (reprint author), Univ Sci & Technol Beijing, Dept Appl Mech, Beijing 100083, 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:4页码:1005-1023 |
| ISSN | 0001-5970
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| 摘要 | The dispersive relations of Bloch waves in the periodic laminated structure formed by periodically repeating of two different gradient elastic solids are studied in this paper. First, the various wave modes in the gradient elastic solid, which are different from those in the classical elastic solid, are formulated. Apart from the dispersive P wave and SV wave, there are two evanescent waves, which become the P type and S type surface waves at the interface of two different gradient elastic solids. Next, the continuity conditions of displacement vector, the normal derivative of the displacement vector and the monopolar and dipolar tractions across the interface between two different gradient elastic solids are used to derive the transfer matrix of the state vector in a typical single cell. At last, the Bloch theorem of Bloch waves in the periodical structure is used to give the dispersive equation. The in-plane Bloch waves and the anti-plane Bloch waves are both considered in the present work. The oblique propagation situation and the normal propagation situation are also considered, respectively. The numerical results are obtained by solving the dispersive equation. The influences of two microstructure parameters of the gradient elastic solid and the microstructure parameter ratio of two different gradient elastic solids on the dispersive relation are discussed based on the numerical results. |
| DOI | 10.1007/s00707-015-1495-z
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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:000374167000007
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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 was 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/311007/59509
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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. |
推荐引用方式
GB/T 7714 |
Li YQ,Wei PJ,Zhou YH,et al. Band gaps of elastic waves in 1-D phononic crystal with dipolar gradient elasticity[J]. ACTA MECHANICA,2016,227,4,:1005-1023.
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| APA |
Li YQ,魏培君,Zhou YH,&Wei, PJ .(2016).Band gaps of elastic waves in 1-D phononic crystal with dipolar gradient elasticity.ACTA MECHANICA,227(4),1005-1023.
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| MLA |
Li YQ,et al."Band gaps of elastic waves in 1-D phononic crystal with dipolar gradient elasticity".ACTA MECHANICA 227.4(2016):1005-1023.
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