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Biaxial buckling analysis of double-orthotropic microplate-systems including in-plane magnetic field based on strain gradient theory
Affiliation:1. School of Mechanical Engineering, Iran University of Science and Technology, Narmak 16846-13114, Tehran, Islamic Republic of Iran;2. Department of Mechanical Engineering, Sirjan University of Technology, 78137-33385 Sirjan, Islamic Republic of Iran;1. College of Mechanical and Transportation Engineering, China University of Petroleum-Beijing, 18 Fuxue Road, Changping, Beijing CO 102249, China;2. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China;3. School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, PO Box 71, Bundoora, VIC 3083, Australia;4. School of Civil Engineering, The University of Queensland, Brisbane, St Lucia 4072, Australia;1. Faculty of Engineering, Shahrekord University, Shahrekord, Iran;2. Nanotechnology Research Center, Shahrekord University, Shahrekord, Iran;3. Department of Mechanical Engineering, Golpayegan University of Technology, Golpayegan, Iran;1. School of Mechanics, Civil Engineering and Architecture, MIIT Key Laboratory of Dynamics and Control of Complex Systems, Northwestern Polytechnical University, Xi''an 710072, PR China;2. State Key Laboratory of Structure Analysis of Industrial Equipment, Department of Engineering Mechanics, International Center for Computational Mechanics, Dalian University of Technology, Dalian 116024, PR China;1. Interdisciplinary Graduate School of Science & Technology, Shinshu University, 3-15-1 Tokida, Ueda, Nagano 386-8567, Japan;2. Key Laboratory of Advanced Textile Materials and Manufacturing Technology Ministry of Education, Zhejiang Sci-Tech University, Hangzhou 310018, PR China;3. Department of Functional Machinery & Mechanics, Shinshu University, 3-15-1 Tokida, Ueda, Nagano 386-8567, Japan;1. Department of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran;2. Department of Mechanical Engineering Islamic Azad University, Bandar Anzali Branch, Anzali, Iran
Abstract:Background/purposeThis paper deals with analysis of biaxial buckling behavior of double-orthotropic microplate system including in-plane magnetic field, using strain gradient theory.MethodsTwo Kirchhoff microplates are coupled by an internal elastic medium and also are limited to the external Pasternak elastic foundation. Utilizing the principle of total potential energy, the equilibrium equations of motion for three cases (out-of-phase buckling, in-phase buckling and buckling with a plate) are acquired. In this study, we assumed boundary conditions of all the edges are simply supported. In order to get exact solution for buckling load of system, Navier approach which satisfies the simply supported boundary conditions is applied.ResultsVariations of the buckling load of double-microplate system subjected to biaxial compression corresponding to various values of the thickness, length scale parameter, magnetic field, stiffness of internal and external elastic medium, aspect ratio, shear stiffness of the Pasternak foundation and biaxial compression ratio are investigated. Furthermore, influence of higher modes on buckling load is shown. By comparing the numerical results, it is found that dimensionless buckling load ratio for in-phase mode is more than those of out of phase and one microplate fixed. Also it is shown that the value of buckling load ratio reduces, when non-dimensional length scale parameter increases.ConclusionHowever, we found when properties of plate are orthotropic the buckling load ratio is more than isotropic state. Also, by considering the effect of magnetic field, non-dimensional buckling load ratio reduces.
Keywords:A  Plates  B  Microstructures  B  Buckling  C  Analytical modeling  Magnetic field
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