Abstract

Bending and buckling analyses of heterogeneous annular/circular micro sandwich plate which is located on Pasternak substrate is presented in the current study. The plate’s core is made of saturated porous materials and face sheets are made of functionally graded piezo-electro-magnetic polymeric nano-composites. The displacement components of the plate described based on FSDT and MCST is employed to analyze the structure in micro scale. Length scale parameter of MCST shows the difference between macro and micro scales elasticity theory. Material properties of the three layers are varied across the thickness following different patterns and in addition, are temperature-dependent. The face sheets are subjected to electro-magnetic fields and pre loads. Using energy method and variational calculus, the equations are obtained and solved via GDQ as a numerical method for various boundary conditions. To examine the reliability of the results, they are compared with previous studies and verified. Effect of different properties and aspect ratio of the plate are investigated and highlighted. The results depicted by enhancing the porosity, the critical buckling load and maximum transverse deflection decreases and increases, respectively. Also increasing temperature leads the buckling load to more values and vice versa about deflection of the plate. The findings of this research can help to design and create more efficient structures especially smart one as sensors or actuators.

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