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. | |
发表期刊 | EUROPEAN JOURNAL OF MECHANICS A-SOLIDS |
2016 | |
卷号 | 57页码:1-17 |
ISSN | 0997-7538 |
摘要 | 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. |
关键词 | Reflection And Transmission Gradient Elasticity Sandwiched Slab |
DOI | 10.1016/j.euromechsol.2015.11.005 |
URL | 查看原文 |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000371651800001 |
关键词[WOS] | Reflection and transmission ; Gradient elasticity ; Sandwiched slab |
WOS研究方向 | Mechanics |
WOS类目 | Mechanics |
项目资助者 | 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). |
课题组名称 | LNM固体物理力学 |
论文分区 | 二类 |
力学所作者排名 | False |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/59530 |
专题 | 非线性力学国家重点实验室 |
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,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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