Abstract
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. 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 critical loads. The correction terms due to shear effects are obtained for three cases: (1) for infinitely long simply supported plates, (2) for square simply supported plates, and (3) for infinitely long ones simply supported on three sides and free on one unloaded edge. The analysis presented is also suitable for sandwich plates.
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