Buckling analysis of laminated composites plates on an elastic foundation using a new higher order theory

Abstract

buckling analysis of symmetric and antisymmetric laminated composites plates on an elastic foundation is examined by a new hyperbolic displacement model. The present theory with four variables is developed with formulation based on a new model which in plane displacements varies as a hyperbolic function across the plate thickness, so account for parabolic distribution of transverse shear stresses and satisfies boundary conditions. In this study, the elastic foundation is modeled as two Parameter Pasternak type foundation and Winkler type if the second parameter is zero. Governing equations are derived from the principle of virtual displacements. These plates’ equations are solved analytically for the buckling by Navier’s technique. Their buckling loads are found by solving the equation of stability .Some numerical results from the present study are presented in graphical and tabular form to comparison with other models published.