Nonlinear bending analysis of FGP plates under various boundary conditions using an analytical approach
Authors: Tung P.T., Long N.V., Tu T.M., Phuong N.T.B., Hai L.T., Long T.N
Structures
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Publishing year: 10/2021
In this paper, the nonlinear bending behavior of functionally graded porous (FGP) plates under uniformly distributed transverse loads is studied based on the neutral surface concept within the framework of first-order shear deformation theory (FSDT) including geometrical nonlinearity. The FGP materials with three porosity distribution patterns namely uniform, non-uniform symmetric and non-uniform asymmetric are considered. Using the stress function and Galerkin method, the analytical solutions are obtained to examine the load vs deflection and load vs bending moment curves for various edges boundary conditions. The present results are compared with reference
solutions to show the accuracy and the effectiveness of the proposed approach. The effects of the geometric, material parameters, elastic foundations and in-plane constraints on the nonlinear bending behavior of FGP plates are studied in detail through numerical investigations.
Analytical approach First-order shear deformation theory FGP plates Neutral surface position concept Nonlinear bending