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Feli, S., Mehraban, G. (2021). Analytical Modeling of Impact loading of Nanoparticles on the Nano-curved Plate. Electronic and Cyber Defense, 17(1), 69-81.
Saeed Feli; Gelareh Mehraban. "Analytical Modeling of Impact loading of Nanoparticles on the Nano-curved Plate". Electronic and Cyber Defense, 17, 1, 2021, 69-81.
Feli, S., Mehraban, G. (2021). 'Analytical Modeling of Impact loading of Nanoparticles on the Nano-curved Plate', Electronic and Cyber Defense, 17(1), pp. 69-81.
Feli, S., Mehraban, G. Analytical Modeling of Impact loading of Nanoparticles on the Nano-curved Plate. Electronic and Cyber Defense, 2021; 17(1): 69-81.

Analytical Modeling of Impact loading of Nanoparticles on the Nano-curved Plate

مکانیک هوافضا
Volume 17, Issue 1 - Serial Number 63, May 2021, Pages 69-81    PDF (1.36 M)
Document Type: Solid Mechanics
Authors
Saeed Feli* ; Gelareh Mehraban
Dept. of Mechanical Engineering, Razi University, Kermanshah, I. R. of Iran
Receive Date: 23 September 2019,  Revise Date: 28 January 2020,  Accept Date: 23 May 2021 
Abstract
In this paper an analytical model is presented to investigate the dynamic response of the nano-curved plate under impact loading of nanoparticles. Unlike the macroscale, long-range interatomic interactions, such as the Van der Waals (vdW) force, are considered at the nanoscales. The impact load on the nano- curved plate is considered as an interaction between the nanoparticle and the nano-plate. The vdW force between the carbon nanoparticle and silicon nano-curved plate is determined by the Lennard-Jones potential. The Love-Kirchhoff plate theory and Double Fourier series are used for determining the displacement field of the nano-plate. Also the governing equations of the nano-curved plate are derived by considering the residual surface stress, Gurtin and Murdoch relations and Hamilton's principle and are solved for a simply supported nano-curved plate by using the Rung-Kutta’s fourth order method in MATLAB. The analytical model results are validated with an analytical model that has investigated the dynamic response of the nanoparticle impact on a rectangular nano-plate. The effects of geometrical parameters such as curvature, thickness, mass and velocity are investigated. Also the surface effects of the nano-plate on the vdW force and the dynamic response of the nano-curved plate are studied. The results show that by increasing the radius of curvature, the maximum deformation at a constant curvature angle is decreased. Also, by considering the surface effect, the maximum displacement of the center of the nano-plate is reduced and the role of the surface effect on the maximum deflection of the nano-plate decreases with increasing nano-plate thickness.
Keywords
Nano-curved plate; impact; Nanoparticle; Analytical solution
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