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Surface Effects on the Scattering of SH-Wave Around an Arbitrary Shaped Nano-Cavity
Wu, Hongmei1,2; Ou, Zhiying2
2019-12-15
Source PublicationADVANCES IN MATHEMATICAL PHYSICS
ISSN1687-9120
Volume2019
AbstractBy using the complex variable function theory and the conformal mapping method, the scattering of plane shear wave (SH-wave) around an arbitrary shaped nano-cavity is studied. Surface effects at the nanoscale are explained based on the surface elasticity theory. According to the generalized Yong-Laplace equations, the boundary conditions are given, and the infinite algebraic equations for solving the unknown coefficients of the scattered wave solutions are established. The numerical solutions of the stress field can be obtained by using the orthogonality of trigonometric functions. Lastly, the numerical results of dynamic stress concentration factor around a circular hole, an elliptic hole and a square hole as the special cases are discussed. the numerical results show that the surface effect and wave number have a significant effect on the dynamic stress concentration, and prove that our results from theoretical derivation are correct.
DOI10.1155/2019/3084581
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11362009][11862014]
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000520172300001
PublisherHINDAWI LTD
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.lut.edu.cn/handle/2XXMBERH/64240
Collection理学院
Corresponding AuthorOu, Zhiying
Affiliation1.Lanzhou Univ Technol, Sch Mech & Electron Engn, Lanzhou, Gansu, Peoples R China
2.Lanzhou Univ Technol, Sch Sci, Lanzhou, Gansu, Peoples R China
First Author AffilicationLanzhou University of Technology;  Coll Sci
Corresponding Author AffilicationColl Sci
First Signature AffilicationLanzhou University of Technology
Recommended Citation
GB/T 7714
Wu, Hongmei,Ou, Zhiying. Surface Effects on the Scattering of SH-Wave Around an Arbitrary Shaped Nano-Cavity[J]. ADVANCES IN MATHEMATICAL PHYSICS,2019,2019.
APA Wu, Hongmei,&Ou, Zhiying.(2019).Surface Effects on the Scattering of SH-Wave Around an Arbitrary Shaped Nano-Cavity.ADVANCES IN MATHEMATICAL PHYSICS,2019.
MLA Wu, Hongmei,et al."Surface Effects on the Scattering of SH-Wave Around an Arbitrary Shaped Nano-Cavity".ADVANCES IN MATHEMATICAL PHYSICS 2019(2019).
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