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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
ISSN0001-5970
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
DOI10.1007/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
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被引频次:23[WOS]   [WOS记录]     [WOS相关记录]
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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