Nonlinear effects of the dynamic and quasi-static bending of plates are investigated using elastoplastic and rigid-plastic models of deformation in geometrically linear and nonlinear formulations. The problem of bending is solved using a numerical method based on the model of Timoshenko-type theory of shells. Comparative analysis shows that the rigid-plastic model in its classical geometrically linear formulation cannot be used for evaluating maximum deflections of elastoplastic plates. The scope of the applicability of the rigid-plastic model is assessed for moderate deflections of hinged circular plates.
|
