The effect of plate theories and boundary conditions on the bending behavior of a biaxial corrugated core sandwich panel

Abstract

In this study, an analytical model was developed to evaluate the bending behavior of a wood composite sandwich panel with a biaxial corrugated core. To explore the effect of shear deformation, two plate theories were considered: classical plate theory (CPT) and a third-order shear deformation plate theory (TOSDPT). The effect of simply supported-simply supported, clamped–clamped, and simply supported-free boundary conditions on the bending behavior of the sandwich panel was investigated. A homogenization method was used to replace the corrugated geometry of the core with a continuous layer. Based on the deformation of the corrugated core, the effective properties of the homogenized layer were obtained. Classical lamination theory and the principle of minimum potential energy were applied to derive the governing equations and apply the boundary conditions. A generalized differential quadrature method was applied to solve the governing differential equations. The bending stiffness of a panel with simply supported-free boundary conditions agreed with the experiment within 3.67% and 0.28% for CPT and TOSDPT, respectively.