Elasto/Viscoplastic Analysis of Thin Circular Plates Under Large Strains and Large Deformations

Abstract

In this paper the elasto/viscoplastic analysis of thin circular plates under large strains and large deformations is studied by the use of the finite-element method based on the membrane shell theory. As the constitutive relation for the materials Perzyna’s equation which in the plastic range takes into account the viscosity of the material is employed. The criterion for yielding used in this analysis is the von Mises yield theory. The geometric nonlinearity is treated with incremental method and the solutions at any stage are obtained by summation of the incremental values. The experiments are carried out for the thin circular aluminum plates, and the variations of the deformations and the stresses with loading rate are analyzed. The elasto/viscoplastic solutions from the prediction method agree fairly well with the values experimentally determined for the circular plates. The method can be used to generate plasticity solutions in a simple manner when stationary conditions are reached.