Bending of Elastoplastic Circular Plates With Large Deflection

Abstract

Abstract A general theory for the elastoplastic bending of thin circular plates with polar symmetrical loading is developed, and a numerical integration method is given for the complete solution of problems within the scope of the general theory. In the development of the theory, stress-strain relations of the deformation type (theory of plastic deformation) are employed. As special examples, simply supported circular plates with a central concentrated loading are considered. Using a stress-strain curve for 24S-T aluminum which is determined experimentally, numerical solutions for bending moments, membrane forces, and deflections are obtained for two cases. In one case, the plate experiences large elastic deformation and in the second case, the plate undergoes large elastoplastic deformation. Several plate specimens, made of the same sheet of 24S-T aluminum for which the foregoing stress-strain curve was determined, are tested and a comparison is made between the theoretically determined and the experimentally obtained values of deflection.