Volume 5, Issue 2, June 2019, Page: 38-44
Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave
Dongxia Lei, School of Science, Lanzhou University of Technology, Lanzhou, China
Lizhen Wang, School of Science, Lanzhou University of Technology, Lanzhou, China
Zhiying Ou, School of Science, Lanzhou University of Technology, Lanzhou, China
Received: Apr. 29, 2019;       Accepted: May 21, 2019;       Published: Jun. 20, 2019
DOI: 10.11648/j.ijamtp.20190502.11      View  185      Downloads  21
Abstract
With the rapid development of nanotechnology, nano-components and nano-materials will be widely concerned and applied. At the nano-scale, due to the obvious increase the ratio of surface area to the volume effect and surface effect of nano-components and nano-materials are significant, making their mechanical properties significantly different from the material properties under the macroscopic conditions. And in the practical cases, the interface is not always perfect and smooth, they always have a certain form of defects. Therefore, the wave function expansion method is used in the analytical solutions of dynamic stress concentration factor (DSCF) around a coated fiber with an imperfect interface at nano-scale. The stress boundary conditions on the interface are obtained by using the generalized Young-Laplace equation and the imperfect displacement boundary conditions on the interface are modeled by a spring model. Considering the effects of surface and spring model, the influence of spring stiffness, the number of incident wave and the surface effects on the DSCF are analyzed. The results show that the frequency of incident wave, the spring stiffness and the surface energy have significant effects on the dynamic stress concentration distributions of the nano-sized coated fiber. The smaller the spring coefficient is, the stronger the interface imperfection is, and the stronger the stress concentration at the boundary is. When the spring coefficient reaches a certain value, it is almost close to the dynamic stress value under the ideal interface. The DSCF are obviously different under different incident wave frequencies.
Keywords
Scattering, Plane Compressional Wave, Imperfect Interface, Surface Effect, Dynamic Stress Concentration Factor
To cite this article
Dongxia Lei, Lizhen Wang, Zhiying Ou, Surface Effects on a Coated Fiber with an Imperfect Interface Subjected to Plane Compressional Wave, International Journal of Applied Mathematics and Theoretical Physics. Vol. 5, No. 2, 2019, pp. 38-44. doi: 10.11648/j.ijamtp.20190502.11
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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