Bending And Post-buckling Of A Graded Metallic Foam Circular Plate

In this paper, bending and post-buckling of a graded metallic foam circular plate with density gradient along thickness and radius are investigated. The main contents can be summarized as follows:A) Linear and nonlinear analysis of the plate are investigated when the density gradient along thickness changes.1. Present two models are assumed to vary continuously through the thickness of the circular plate to describe the mass density gradient of metallic foam.2. Analysis of the linear. Based on the First-order shear deformation plate theory, axisymmetric bending of a graded foam material plate is investigated under uniformly distributed loads, governing equations for the problem are derived, and then obtained the general analytic solution of the equation. Effects of clamped and simple supported boundary condition, material constant n and mechanical loadings, axisymmetric bending behavior of the functional graded foam plate is discussed in details. Then buckling equation for the plate under the transverse loads when the First-order shear deformation plate theory became to the classical von Karman plate theory, and then a shooting method is employed to obtained the critical load. Discussed the effects of material constant, boundary conditions and the loads.3. Analysis of the nonlinear. Based on the classical von Karman plate theory, governing equations for axisymmetric large deflection bending and post-buckling of the graded foam material plate are derived, and then a shooting method is employed to get the bending and buckling path. Discussed the effects of material constant, boundary conditions and the loads by the numerically solve.B) Present two models are assumed to vary continuously through the radius of the circular plate to describe the mass density gradient of metallic foam. Based on the classical nonlinear von Karman plate theory, axisymmetric large deflection bending and post-buckling of the graded foam material plate are investigated under uniformly distributed loads and transverse loads, and then a shooting method is employed to numerically solve the equations. Discussed the effects of material constant n and boundary condition and mechanical loadings in details.