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Dispersion relations of elastic waves in one-dimensional piezoelectric phononic crystal with mechanically and dielectrically imperfect interfaces
Guo X; Wei PJ(魏培君); Li L; Wei, PJ (reprint author), Univ Sci & Technol Beijing, Dept Appl Mech, Beijing 100083, Peoples R China.
Source PublicationMECHANICS OF MATERIALS
2016-02
Volume93Pages:168-183
ISSN0167-6636
AbstractThe effects of mechanically and dielectrically imperfect interfaces on dispersion relations of elastic waves in a one-dimensional piezoelectric phononic crystal are studied in this paper. Six kinds of imperfect interfaces between two different piezoelectric materials constituting the phononic crystal are considered. These imperfect interfaces include: the mechanically compliant dielectrically weakly conducting interface, the mechanically compliant dielectrically highly conducting interface, the grounded metallized interface, the low dielectric interface, the tangent fixed interface and the tangent slippery interface. Based on transfer matrices of piezoelectric slabs and imperfect interfaces, the total transfer matrix of a typical single cell in the periodical structure is obtained. Furthermore, the Bloch theorem is used to obtain the dispersive equations of in-plane and anti-plane Bloch waves. The dispersive equations are solved numerically and the numerical results are shown graphically. In the case of normal propagation of elastic waves within piezoelectric slabs, the analytical expressions of the dispersion equations are derived and compared with other literatures. The influences of mechanically and dielectrically imperfect interfaces on the dispersive relations are discussed based on the numerical results. (C) 2015 Elsevier Ltd. All rights reserved.
KeywordDispersion Relations Piezoelectricity Phononic Crystal Imperfect Interface Bloch Wave Transfer Matrix
DOI10.1016/j.mechmat.2015.11.004
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000368748900013
WOS KeywordBAND-GAPS ; INITIAL STRESS ; REFLECTION ; PROPAGATION ; COMPOSITES ; MEDIA ; TRANSMISSION
WOS Research AreaMaterials Science ; Mechanics
WOS SubjectMaterials Science, Multidisciplinary ; Mechanics
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一类
RankingFalse
Citation statistics
Cited Times:11[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/58637
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
Guo X,Wei PJ,Li L,et al. Dispersion relations of elastic waves in one-dimensional piezoelectric phononic crystal with mechanically and dielectrically imperfect interfaces[J]. MECHANICS OF MATERIALS,2016,93:168-183
APA Guo X,魏培君,Li L,&Wei, PJ .(2016).Dispersion relations of elastic waves in one-dimensional piezoelectric phononic crystal with mechanically and dielectrically imperfect interfaces.MECHANICS OF MATERIALS,93,168-183.
MLA Guo X,et al."Dispersion relations of elastic waves in one-dimensional piezoelectric phononic crystal with mechanically and dielectrically imperfect interfaces".MECHANICS OF MATERIALS 93(2016):168-183.
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