In this study, buckling and post-buckling analysis of circular porous plate with small initial deflection is investigated using the first-order shear deformation theory. Porosity is assumed variable in the thickness of the plate, and assumed to be symmetric with respect to the plate mid-plane. The first-order shear deformation theory and nonlinear von-Karman strain field has been used to derive the equilibrium equations in term of displacement field. The governing differential equations together with the boundary conditions are discretized by implementing the differential quadrature method (DQM). The set of nonlinear algebraic equations are then solved for displacement field components using an iterative method. The convergence of the numerical model is surveyed. Then the comparative and parametric studies are carried out. The results show that the present DQM model has fast convergence, and accurate results. Parametric studies are carried out. The porosity factor and initial deflection have significant influence on the plate deformation. پرونده مقاله

In the present work, the symmetric thermal buckling behavior of shear deformable heterogonous nano/micro circular porous plates resting on a two parameter foundation is studied. The material behavior of the nano plate is modeled by the modified couple stress theory. The plate material properties assumed to be graded across the thickness direction according to a simple power law, and has a uniform porosity. Using Mindlin’s plate theory and the nonlinear von-Karman strain field and implementing the energy method, the plate stability equations together with the membrane equilibrium equation are derived and expressed in terms of the displacement field components. Then the nondimensionalized forms of the equations are discretized using differential quadrature method (DQM). The resulting eigenvalue problem is solved to evaluate the plate critical buckling temperature difference. Comparative studies are carried out. Also the influences of some important parameters including length scale factor, porosity factor and Winkler& Pasternak stiffness coefficients are investigated.. پرونده مقاله