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NONLINEAR BENDING ANALYSIS OF FUNCTIONALLY GRADED POROUS PLATES RESTING ON PASTERNAK ELASTIC FOUNDATION UNDER VARIOUS BOUNDARY CONDITIONS BASED ON NEUTRAL SURFACE POSITION
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Journal of Science and Technology in Civil Engineering
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Publishing year: 2020
In this paper, the static nonlinear bending analysis of functionally graded porous plates resting on Pasternak elastic foundation is presented. Porous materials with three different types of porosity distribution: uniform, non-uniform symmetric and non-uniform non-symmetric are considered. The governing equations are derived based on Mindlin plate theory and neutral surface position, taking to account von Kárman nonlinearity. The Airy’s stress function and Bubnov-Galerkin method are employed to obtained the analytical solution with different boundary conditions. The verifications are conducted by comparing with the results published in the available literature for the isotropic plates. The effect of material, geometric, elastic foundation parameters, and boundary conditions on deflection, internal force resultants is investigated in detail.
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