| Reflection of micropolar elastic waves at the non-free surface of a micropolar elastic half-space | |
Zhang, Peng1; Wei, Peijun1,2; Tang, Qiheng2 ; Wei, PJ (reprint author), Univ Sci & Technol Beijing, Dept Appl Mech, Beijing 100083, Peoples R China.
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| Source Publication | ACTA MECHANICA
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| 2015-09-01 | |
| Volume | 226Issue:9Pages:2925-2937 |
| ISSN | 0001-5970 |
| Abstract | The reflection problem of the micropolar elastic waves at the non-free surface of a micropolar elastic half-space is studied in this paper. Different from the classic elastic solid, there are four kinds of elastic waves in the micropolar elastic solid and three of them are dispersive. The boundary conditions at the non-free surface of a micropolar elastic half-space are used to obtain the linear algebraic equation sets from which the amplitude ratios of reflection waves to the incident wave can be determined. Then, the reflection coefficients in terms of energy flux ratios are calculated numerically, and the normal energy flux conservation is used to validate the numerical results. At last, the influence of the boundary parameters, which reflect the mechanical behavior of the non-free surface, on the reflection energy partition of micropolar elastic waves is discussed based on the numerical results. Two cases of incident longitudinal displacement wave and incident coupled transverse displacement and transverse microrotational wave are considered.; The reflection problem of the micropolar elastic waves at the non-free surface of a micropolar elastic half-space is studied in this paper. Different from the classic elastic solid, there are four kinds of elastic waves in the micropolar elastic solid and three of them are dispersive. The boundary conditions at the non-free surface of a micropolar elastic half-space are used to obtain the linear algebraic equation sets from which the amplitude ratios of reflection waves to the incident wave can be determined. Then, the reflection coefficients in terms of energy flux ratios are calculated numerically, and the normal energy flux conservation is used to validate the numerical results. At last, the influence of the boundary parameters, which reflect the mechanical behavior of the non-free surface, on the reflection energy partition of micropolar elastic waves is discussed based on the numerical results. Two cases of incident longitudinal displacement wave and incident coupled transverse displacement and transverse microrotational wave are considered. |
| Subject Area | Mechanics |
| DOI | 10.1007/s00707-015-1346-y |
| URL | 查看原文 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000357728700007 |
| WOS Keyword | WELDED CONTACT ; PLANE-WAVES ; PROPAGATION ; INTERFACE ; REFRACTION ; SOLIDS ; MEDIA |
| WOS Research Area | Mechanics |
| WOS Subject | Mechanics |
| Funding Organization | National Natural Science Foundation of China [10972029] ; Opening fund of State Key Laboratory of Nonlinear Mechanics (LNM) |
| Department | LNM固体物理力学 |
| Classification | 二类 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/55331 |
| 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. |
| Affiliation | 1.Univ Sci & Technol Beijing, Dept Appl Mech, Beijing 100083, Peoples R China 2.Chinese Acad Sci, State Key Lab Nonlinear Mech LNM, Beijing 100080, Peoples R China |
| Recommended Citation GB/T 7714 | Zhang, Peng,Wei, Peijun,Tang, Qiheng,et al. Reflection of micropolar elastic waves at the non-free surface of a micropolar elastic half-space[J]. ACTA MECHANICA,2015,226,9,:2925-2937. |
| APA | Zhang, Peng,Wei, Peijun,Tang, Qiheng,&Wei, PJ .(2015).Reflection of micropolar elastic waves at the non-free surface of a micropolar elastic half-space.ACTA MECHANICA,226(9),2925-2937. |
| MLA | Zhang, Peng,et al."Reflection of micropolar elastic waves at the non-free surface of a micropolar elastic half-space".ACTA MECHANICA 226.9(2015):2925-2937. |
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| IMCAS-J2015-141.pdf（4632KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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