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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.
Source PublicationACTA MECHANICA
2016
Volume227Issue:4Pages:1005-1023
ISSN0001-5970
AbstractThe 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.
DOI10.1007/s00707-015-1495-z
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000374167000007
WOS Research AreaMechanics
WOS SubjectMechanics
Funding OrganizationThe work was 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:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/59509
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
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.
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.
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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