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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.
Source PublicationACTA MECHANICA
2015-09-01
Volume226Issue:9Pages:2925-2937
ISSN0001-5970
AbstractThe 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 AreaMechanics
DOI10.1007/s00707-015-1346-y
URL查看原文
Indexed BySCI
Language英语
WOS IDWOS:000357728700007
WOS KeywordWELDED CONTACT ; PLANE-WAVES ; PROPAGATION ; INTERFACE ; REFRACTION ; SOLIDS ; MEDIA
WOS Research AreaMechanics
WOS SubjectMechanics
Funding OrganizationNational Natural Science Foundation of China [10972029] ; Opening fund of State Key Laboratory of Nonlinear Mechanics (LNM)
DepartmentLNM固体物理力学
Classification二类
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/55331
Collection非线性力学国家重点实验室
Corresponding AuthorWei, PJ (reprint author), Univ Sci & Technol Beijing, Dept Appl Mech, Beijing 100083, Peoples R China.
Affiliation1.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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