Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
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IssuesArchive of Issues2025-3pp.1977-1999

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Total articles in the database: 13217
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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 2025Revised 20 April 2025Accepted 20 April 2025
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