Bài báo khoa học

Abstract For the first time, displacement-based and stress-based approaches are used simultaneously to analyze the nonlinear bending response of functionally graded porous plates within the framework of first-order shear deformation theory. Three configurations of porosity distributions including uniform, nonuniform symmetric, and nonuniform asymmetric are selected. Utilizing the Galerkin method, the neutral surface position concept, and the solutions in terms of Fourier series, the nonlinear algebraic governing equations are derived and then solved by the Newton–Raphson method. Very good agreement is found in the comparison between results obtained by using two proposed approaches, and in comparisons with those of existing ones in the literature. Parametric studies are conducted to evaluate the influence of the porosity coefficient, porosity distribution configurations, geometrical parameters, Pasternak elastic foundation, and boundary conditions on the load–deflection and load-bending moment curves.