Volume 17, Issue 2 (3-2017)
Modares Mechanical Engineering 2017, 17(2): 427-438 |
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Ghasemi Shiri M, Jaamialahmadi A. Buckling Analysis of intelligent Nanoplate under Inplane Loading Based on Nonlocal Elasticity and Shear and normal Deformation Theories. Modares Mechanical Engineering 2017; 17 (2) :427-438
URL: http://mme.modares.ac.ir/article-15-1834-en.html
URL: http://mme.modares.ac.ir/article-15-1834-en.html
Abstract: (4692 Views)
In this paper, the nonlocal buckling behavior of a biaxially loaded graphene sheet with piezoelectric layers based on an isotropic smart nanoplate model is studied. The equilibrium equations are derived with the von Karman-type geometrical nonlinearity by considering the small scale effect. The buckling of multilayer smart nanoplate made of graphene and piezoelectric materials in open circuit conditions is investigated. Based on the nonlocal elasticity and shear and normal deformation theories, the governing equilibrium equations are obtained using the principle of minimum total potential energy and Maxwell’s equation.
Using an analytical approach, the governing stability equations of smart nanoplate have been presented in terms of displacement components and electrical potential. In order to obtain the stability equations, the adjacent equilibrium criterion is used. The stability equations are then solved analytically, assuming simply supported boundary condition along all edges. To validate the results, the critical buckling load values have been compared with available resources. Finally, following validation of the results, numerical results for intelligent nanoplate are presented.
Also, the effects of different parameters such as nanoplate length, different nonlocal parameter, piezoelectric layers thickness, the graphene thickness to length ratio, the piezoelectric layer thickness to graphene thickness ratio and type of Piezoelectric material on the critical buckling loads of intelligent nanoplate are studied in detail. Furthermore, the effect of the mentioned parameters on the critical buckling loads have been presented in some figures.
Using an analytical approach, the governing stability equations of smart nanoplate have been presented in terms of displacement components and electrical potential. In order to obtain the stability equations, the adjacent equilibrium criterion is used. The stability equations are then solved analytically, assuming simply supported boundary condition along all edges. To validate the results, the critical buckling load values have been compared with available resources. Finally, following validation of the results, numerical results for intelligent nanoplate are presented.
Also, the effects of different parameters such as nanoplate length, different nonlocal parameter, piezoelectric layers thickness, the graphene thickness to length ratio, the piezoelectric layer thickness to graphene thickness ratio and type of Piezoelectric material on the critical buckling loads of intelligent nanoplate are studied in detail. Furthermore, the effect of the mentioned parameters on the critical buckling loads have been presented in some figures.
Keywords: Buckling Analysis, intelligent Nanoplate, Piezoelectric Layers, nonlocal elasticity theory, Shear and Normal Deformation Theory
Article Type: Research Article |
Subject:
Micro & Nano Systems
Received: 2016/10/22 | Accepted: 2017/02/4 | Published: 2017/02/27
Received: 2016/10/22 | Accepted: 2017/02/4 | Published: 2017/02/27
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