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 |
ISSN | 1687-9120 |
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. |
DOI | 10.1155/2019/3084581 |
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 |
引用统计 | |
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 |
推荐引用方式 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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