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EN
In the present research, a semi-analytical three-dimensional solution is developed for transversely graded annular/circular plates resting on non-uniform elastic foundations and subjected to magnetic and thermal fluxes and non-uniform and asymmetric mechanical loads. Thickness of the plate may vary exponentially along the radial direction and the inner and outer edges are restrained. All the thermal, magnetic, and elastic properties are assumed to vary in the transverse direction. Transverse distribution of the temperature is determined analytically for both the specified transverse temperature gradient and specified heat flux thermal conditions. Dependencies of the solution on the radial and transverse coordinates are determined through solving the resulting governing equations by using the differential quadrature and state space approaches in the radial and transverse directions, respectively. Effects of the material heterogeneity, thermal and mechanical boundary conditions, thickness variability, coefficients of the elastic foundation, shear to normal loads ratio, and magnetic field intensity are investigated comprehensively, through a parametric study. Results reveal that complex interactions may be observed among the elastic, thermal, and magnetic responses.
EN
In the present study, a new analytical approach is developed for bending and stress analysis of angle-ply laminated composite and sandwich plates subjected to arbitrary non-uniform loads. Governing equations are derived based on the Mindlin–Reissner plate theory. For the first time, a system of three second order coupled partial differential equations is analytically solved by using power-series solution. The transverse shear stress is determined based on the three-dimensional theory of elasticity. Most of the available analytical solutions of the rectangular plates were presented for specific load and edge conditions. The proposed method can be applied for plates with arbitrary boundary conditions and various distributed loads. To demonstrate the generality and accuracy of the present method, comprehensive numerical examples are presented and compared with other available published results. The results show that the proposed solution can be applied for analysis of cross/angle-ply laminated composite and sandwich plates with various combinations of the edge conditions, orientation angle of the laminated composite plate, arbitrary non-uniform transversely distributed loads and non-uniform elastic foundation. The proposed method predicts excellent results for laminated composite plates. Also even for moderately thick sandwich plates, accuracy of the present results are in a good agreement with the exact solutions.
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