 | | Mechanics of Solids A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544 Online ISSN 1934-7936 |
Archive of Issues
Total articles in the database: | | 13217 |
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
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In English (Mech. Solids): | | 5065 |
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<< Previous article | Volume 60, Issue 3 / 2025 | Next article >> |
Xi-meng Zhang, Mo-fan Wang, and Jia-yi Li, "Dynamic Analysis for V-Notch at the Bi-Material Half Space Covered by the Viscous Fluid Coating: Fluid-Solid Coupling Model," Mech. Solids. 60 (3), 1977-1999 (2025) |
Year |
2025 |
Volume |
60 |
Number |
3 |
Pages |
1977-1999 |
DOI |
10.1134/S0025654425600539 |
Title |
Dynamic Analysis for V-Notch at the Bi-Material Half Space Covered by the Viscous Fluid Coating: Fluid-Solid Coupling Model |
Author(s) |
Xi-meng Zhang (School of Aviation and Flight, Changzhou Institute of Technology, Changzhou, Jiangsu, 213032 China, zhangximeng@hrbeu.edu.cn)
Mo-fan Wang (School of Aviation and Flight, Changzhou Institute of Technology, Changzhou, Jiangsu, 213032 China, 16639727666@163.com)
Jia-yi Li (School of Aviation and Flight, Changzhou Institute of Technology, Changzhou, Jiangsu, 213032 China, 2712248552@qq.com) |
Abstract |
In this paper, the dynamic problem of a V-notch at the bi-material half space covered by the
viscous fluid coating is studied. Firstly, the expression for the incident SH wave in the viscous fluid
coating is obtained by Navier-Stokes equations. Then, the analytical expression of standing wave is
established by the fractional Bessel function expansion method and Graf addition theorem. Large-arcassume method is applied, the elastic half space base and viscous fluid coating are divided into two
strips along the horizontal interface, the straight boundaries are converted into curved boundaries, and
the expressions of scattering waves caused by curved boundaries are obtained. Finally, based on the
Green’s function method, an external force system is applied to the vertical boundary and solved. The
integral equations are set up through boundary conditions and solved by applying orthogonal function
expansion technique and effective truncation. The calculation results analyzed and discussed the
dynamic stress concentration factor of V-notch at the bi-material. Besides, the analytical solutions are
compared with the finite element solutions to verify the accuracy of the conclusions in this article. |
Keywords |
viscous fluid coating, V-notch, SH wave, large-arc assume method, Graf addition theorem, dynamic stress concentration factor (DSCF) |
Received |
01 February 2025 | Revised |
20 April 2025 | Accepted |
20 April 2025 |
Link to Fulltext |
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