NONLINEAR BENDING ANALYSIS OF FUNCTIONALLY GRADED POROUS PLATES RESTING ON
PASTERNAK ELASTIC FOUNDATION UNDER VARIOUS BOUNDARY CONDITIONS BASED ON NEUTRAL SURFACE POSITION
Authors:
Journal of Science and Technology in Civil Engineering
: :
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.