Thermal and Mechanical Bifurcation Stability Analyses of Clamped Hybrid Dual-FG Composite Annular and Circular Plates

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This research evaluates the thermal buckling of novel hybrid dual-functionally graded (dual-FG) composite annular and circular plates. This composite plate is made of FG polymeric matrix which is reinforced with graphene platelets (GPLs) fillers for better performance. The distribution of GPLs is assumed based on the various linear FG models. Modeling of this medium is conducted by means of a consecutive homogenization approach. In the first step, the Voigt micromechanical rule is employed to obtain the effective elasticity properties of the polymeric FG materials. In the next step, the homogenization of the medium comprised of polymeric FG materials as the matrix and GPLs as the reinforcements is performed using the Halpin–Tsai micromechanical rule. It should be mentioned that the distribution and orientation of fillers are assumed uniform and random within the composite medium. Moreover, the uniform temperature rise state within the immovable clamped plate is selected when the thermal stability is target. Besides, when the mechanical stability is considered, a movable clamped plate under uniform compressive loads is selected. The nonlinear equilibrium equations are derived by considering the exponential higher-order shear deformation theory and geometrically nonlinear von Kármán strain relations. Utilizing the adjacent-equilibrium criterion and appropriate linearization, the equations of pre-buckling path and bifurcation point are characterized. A semi-analytical method based on the generalized differential quadrature and trigonometric expansion approaches is implemented to solve them. After verifying the provided model and solution technique by comparing the present model with simpler studies, novel results are calculated. In obtaining the novel results, the effect of hybrid dual-FG composite characteristics in tuning the critical temperature or compressive loads of the system is completely examined.