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چکیده
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In this study, a nonlocal refined plate theory based on the stretching effect is extended to examine the buckling behavior of three-layered simply supported nanoplates resting on orthotropic foundation by taking into account the surface effects. The core properties are considered nonhomogeneous properties based on the power-law distribution, which is gradually varying in the thickness direction of core. In this regard, due to the asymmetry of the material properties in the core thickness direction, the midplane of structure and the neutral plane is not coincided. Accordingly, it is necessary to consider the neutral surface concept and select it as the reference plane. The position of neutral surface is determined based on the nonlocal higher order shear deformation theory and then linear governing equilibrium equations are derived by employing the principle of minimum potential energy. On the other hand, face sheets are assumed using piezoelectric materials and considered as sensors and actuators. Eventually, Navier-type solution is utilized to obtain the analytical results of threelayered nano-plate subjected to electric field. In order to check the accuracy and efficiency of the current model, a validation study is carried out based on the obtained results and available results in the previous literature. The achieved results have a good agreement with the results in the previously published literature. Finally, the influences of different foundation, residual stress, surface effects, stretching effect, neutral surface, aspect ratio, thicknesses ratio, non-local parameter, length scale parameter, gradient index and initial voltage are examined on critical buckling load of sandwich nanoplate in details. Numerical results show that the residual surface stress and neutral surface position have an undeniable influence on the critical buckling load in the high thicknesses of nano-plate. It is expected that the results of current study to be utilized in designing micro/nano-electro-mechanical systems components based on smart nanostructures.
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