| 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 Publication | EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
 |
| 2016 | |
| Volume | 57Pages:1-17 |
| ISSN | 0997-7538 |
| Abstract | The 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. |
| Keyword | Reflection And Transmission Gradient Elasticity Sandwiched Slab |
| DOI | 10.1016/j.euromechsol.2015.11.005 |
| URL | 查看原文 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000371651800001 |
| WOS Keyword | Reflection and transmission ; Gradient elasticity ; Sandwiched slab |
| WOS Research Area | Mechanics |
| WOS Subject | Mechanics |
| Funding Organization | The 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). |
| Department | LNM固体物理力学 |
| Classification | 二类 |
| Ranking | False |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/59530 |
| Collection | 非线性力学国家重点实验室 |
| Corresponding Author | Wei, 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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| a2016-053.pdf（3931KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
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