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Surface Effects on the Scattering of SH-Wave Around an Arbitrary Shaped Nano-Cavity
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-12-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wu, Hongmei& Ou, Z. Y.. 2019. Surface Effects on the Scattering of SH-Wave Around an Arbitrary Shaped Nano-Cavity. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1118901
Modern Language Association (MLA)
Wu, Hongmei& Ou, Z. Y.. Surface Effects on the Scattering of SH-Wave Around an Arbitrary Shaped Nano-Cavity. Advances in Mathematical Physics No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1118901
American Medical Association (AMA)
Wu, Hongmei& Ou, Z. Y.. Surface Effects on the Scattering of SH-Wave Around an Arbitrary Shaped Nano-Cavity. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1118901
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118901