Inelastic Buckling of Plates Allowing for Shear Effects

The inelastic buckling including the effects of transverse shear is analyzed for flat rectangular plates in uniform uniaxial compression. Using a hardening material obeying the von Mises yield condition, the problem is treated according to both the incremental and deformation theories of plasticity. The analysis is based on Shanley's concept of continuous loading. Using boundary conditions which permit separation of variables it becomes possible to solve the resulting ordinary differential equations by asymptotic approximations giving closed form expressions for the critical loads. The correction terms due to shear effects were obtained for infinitely long, and for square, simply supported plates, and for infinitely long ones, simply supported on three sides and free on one unloaded edge. The analysis presented is also suitable for sandwich plates. (Author)