Application of the Complex Variable Function Method to SH-Wave Scattering Around a Circular Nanoinclusion
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper focuses on analyzing SH-wave scattering around a circular nanoinclusion using the complex variable function method.
The surface elasticity theory is employed in the analysis to account for the interface effect at the nanoscale.
Considering the interface effect, the boundary condition is given, and the infinite algebraic equations are established to solve the unknown coefficients of the scattered and refracted wave solutions.
The analytic solutions of the stress field are obtained by using the orthogonality of trigonometric function.
Finally, the dynamic stress concentration factor and the radial stress of a circular nanoinclusion are analyzed with some numerical results.
The numerical results show that the interface effect weakens the dynamic stress concentration but enhances the radial stress around the nanoinclusion; further, we prove that the analytic solutions are correct.
American Psychological Association (APA)
Wu, Hongmei. 2019. Application of the Complex Variable Function Method to SH-Wave Scattering Around a Circular Nanoinclusion. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1119002
Modern Language Association (MLA)
Wu, Hongmei. Application of the Complex Variable Function Method to SH-Wave Scattering Around a Circular Nanoinclusion. Advances in Mathematical Physics No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1119002
American Medical Association (AMA)
Wu, Hongmei. Application of the Complex Variable Function Method to SH-Wave Scattering Around a Circular Nanoinclusion. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1119002
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119002