Post-buckling of a square plate resting on an elastic foundation under biaxial compression

A simple finite element formulation is presented to study the post-buckling behaviour of a square plate resting on an elastic foundation subjected to a biaxial compression. Linear critical loads and ratios of nonlinear to linear loads for various values of central deflection and for three sets of boundary conditions with different values of foundation stiffness parameters are presented, bringing out the effect of elastic foundation on the post-buckling behaviour.