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Size-dependent resonance and buckling behavior of nanoplates with high-order surface stress effects
Institution:1. Department of Mathematics, Comsats Institute of Information Technology, Islamabad 44000, Pakistan;2. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. Research Institute for Applied Physics and Astronomy, University of Tabriz, Tabriz, Iran;2. Young Researchers Club, Shahre Kord Branch, Islamic Azad University, Shahre Kord, Iran;1. Department of Applied Physics, National Pingtung University, Pingtung 900, Taiwan;2. Graduate Institute of Electro-Optical Engineering, Chang Gung University, Tao-Yuan 333, Taiwan;3. Institute of Electro-Optical Science and Technology, National Taiwan Normal University, Taipei 116, Taiwan;1. Department of Physics, GTN Arts College, Dindigul 624005, India;2. P.G. and Research Department of Physics, Government Arts College, Melur 625106, Madurai, India;3. Department of Chemical Engineering, College of Engineering, Kyung Hee University, 1732 Deogyeong-daero, Gihung, Yongin, Gyeonggi 446-701, South Korea
Abstract:This work presents a theoretical study of the resonance frequency and buckling load of nanoplates with high-order surface stress model. A classical thin plate theory based on Kirchhoff–Love assumption is implemented with surface effects. Circular and rectangular nanoplates with simply supported end conditions are exemplified. The size-dependent solutions are compared with the simplified solutions based on simple surface stress model, and also on the classical theory of elasticity. We aim to explore the scope of applicability so that the modified continuum mechanics model could serve as a refined approach in the prediction of mechanical behavior of nanoplates.
Keywords:High-order surface stress  Size-dependent behavior  Nanoplates
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