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Structural Engineering and Mechanics Volume 73, Number 5, March10 2020 , pages 565-584 DOI: https://doi.org/10.12989/sem.2020.73.5.565 |
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Thermo-electro-elastic nonlinear stability analysis of viscoelastic double-piezo nanoplates under magnetic field |
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Farzad Ebrahimi, S. Hamed S. Hosseini and Rajendran Selvamani
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| Abstract | ||
| The nonlinear thermo-electro-elastic buckling behavior of viscoelastic nanoplates under magnetic field is investigated based on nonlocal elasticity theory. Employing nonlinear strain-displacement relations, the geometrical nonlinearity is modeled while governing equations are derived through Hamilton\'s principle and they are solved applying semi-analytical generalized differential quadrature (GDQ) method. Eringen\'s nonlocal elasticity theory considers the effect of small size, which enables the present model to become effective in the analysis and design of nano-sensors and nano actuators. Based on Kelvin-Voigt model, the influence of the viscoelastic coefficient is also discussed. It is demonstrated that the GDQ method has high precision and computational efficiency in the buckling analysis of viscoelastic nanoplates. The good agreement between the results of this article and those available in literature validated the presented approach. The detailed mathematical derivations are presented and numerical investigations are performed while the emphasis is placed on investigating the effect of the several parameters such as electric voltage, small scale effects, elastomeric medium, magnetic field, temperature effects, the viscidity and aspect ratio of the nanoplate on its nonlinear buckling characteristics. It is explicitly shown that the thermo-electro-elastic nonlinear buckling behavior of viscoelastic nanoplates is significantly influenced by these effects. Numerical results are presented to serve as benchmarks for future analyses of viscoelastic nanoplates as fundamental elements in nanoelectromechanical systems. | ||
| Key Words | ||
| small scale effect; nonlinear buckling; double nanoplate; viscoelastic; GDQ | ||
| Address | ||
| Farzad Ebrahimi, S. Hamed S. Hosseini: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran Rajendran Selvamani: Department of mathematics, Karunya Institute of Technology and Sciences, Coimbatore, India | ||