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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
发表期刊ADVANCES IN MATHEMATICAL PHYSICS
ISSN1687-9120
卷号2019
摘要By 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
收录类别SCI ; SCIE
语种英语
资助项目National Natural Science Foundation of China[11362009][11862014]
WOS研究方向Physics
WOS类目Physics, Mathematical
WOS记录号WOS:000520172300001
出版者HINDAWI LTD
来源库WOS
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被引频次:2[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://ir.lut.edu.cn/handle/2XXMBERH/64240
专题理学院
通讯作者Ou, Zhiying
作者单位1.Lanzhou Univ Technol, Sch Mech & Electron Engn, Lanzhou, Gansu, Peoples R China;
2.Lanzhou Univ Technol, Sch Sci, Lanzhou, Gansu, Peoples R China
第一作者单位兰州理工大学;  理学院
通讯作者单位理学院
第一作者的第一单位兰州理工大学
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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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