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Reflection and transmission through a microstructured slab sandwiched by two half-spaces
Li YQ; Wei PJ(魏培君); Wei, PJ (reprint author), Univ Sci & Technol Beijing, Dept Appl Mech, Beijing 100083, Peoples R China.
Source PublicationEUROPEAN JOURNAL OF MECHANICS A-SOLIDS
2016
Volume57Pages:1-17
ISSN0997-7538
AbstractThe reflection and transmission of a plane wave through a microstructured slab sandwiched by two half spaces are studied in this paper. First, the wave propagation in a micro-structured solid of the dipolar gradient elasticity is formulated. Then, the reflection and transmission properties of a plane wave through a micro-structured slab sandwiched by two half-spaces are considered. The nontraditional interfacial conditions by requiring the auxiliary monopolar tractions, the auxiliary dipolar tractions, the displacements and the normal derivative of displacements continuous across the two interfaces are used to determine the amplitude ratio. The energy fluxes carried by various waves and the reflection and transmission coefficients in terms of energy flux ratio with respect to incident wave are calculated numerically. Based on these numerical results, the microstructure effects on the reflection and transmission waves for the incident P wave and incident SH wave with different wavelength are discussed. In particular, the influences of three characteristic lengths, namely, the incident wavelength, the thickness of slab and the characteristic length of microstructure, on the reflection and transmission waves are analyzed. It is found that the microstructure effect results in the appearance of evanescent wave mode. The reflection and transmission coefficients are evidently dependent upon the microstructure parameters and become more pronounced when the incident wavelength is close to the characteristic length of microstructure. (C) 2015 Elsevier Masson SAS. All rights reserved.
KeywordReflection And Transmission Gradient Elasticity Sandwiched Slab
DOI10.1016/j.euromechsol.2015.11.005
URL查看原文
Indexed BySCI
Language英语
WOS IDWOS:000371651800001
WOS KeywordReflection and transmission ; Gradient elasticity ; Sandwiched slab
WOS Research AreaMechanics
WOS SubjectMechanics
Funding OrganizationThe work is supported by Fundamental Research Funds for the Central Universities (FRF-BR-15-026A) and 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
RankingFalse
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/59530
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,Wei, PJ . Reflection and transmission through a microstructured slab sandwiched by two half-spaces[J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,2016,57:1-17.
APA Li YQ,魏培君,&Wei, PJ .(2016).Reflection and transmission through a microstructured slab sandwiched by two half-spaces.EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,57,1-17.
MLA Li YQ,et al."Reflection and transmission through a microstructured slab sandwiched by two half-spaces".EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 57(2016):1-17.
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