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. | |
发表期刊 | ACTA MECHANICA |
2015-09-01 | |
卷号 | 226期号:9页码:2925-2937 |
ISSN | 0001-5970 |
摘要 | 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. |
学科领域 | Mechanics |
DOI | 10.1007/s00707-015-1346-y |
URL | 查看原文 |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000357728700007 |
关键词[WOS] | WELDED CONTACT ; PLANE-WAVES ; PROPAGATION ; INTERFACE ; REFRACTION ; SOLIDS ; MEDIA |
WOS研究方向 | Mechanics |
WOS类目 | Mechanics |
项目资助者 | National Natural Science Foundation of China [10972029] ; 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 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/55331 |
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. |
作者单位 | 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 |
推荐引用方式 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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