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Nonlinear static analysis of functionally graded porous thin plates resting on elastic foundations
Authors: Le Thanh Hai, Nguyen Van Long, Tran Minh Tu, Nguyen Tuan Anh
240    0
Proceedings of the 1st Conference on Advances in Civil Engineering (ICACE 2022)
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Publishing year: 10/2022
This paper presents an analytical approach to study the nonlinear bending behaviour of functionally graded porous (FGP) plates resting on the Pasternak elastic foundation. The porous materials with three different distribution patterns namely uniform, non-uniform symmetric and non-uniform asymmetric are considered. Governing equations are derived based on the classical plates theory (CPT) taking into account Von Kárman nonlinearity and neutral surface position. Using the displacement approach in conjunction with the Galerkin method, the analytical solution is obtained for various boundary conditions (SSSS-IM, SSSS-FM). The effect of porosity coefficient, porosity distribution types, and various boundary conditions on nonlinear bending behavior are investigated.
nonlinear bending analysis; functionally graded porous plate; neutral surface position; classical plate theory.