APPLICATION OF RETURN MAPPING ALGORITHM IN ANALYSIS OF PRESSURE VESSELS WITH NONLINEAR KINEMATIC HARDENING BEHAVIOR

Authors

1 Dept. of Mechanical Engineering Shiraz University

2 Dept. of Mechanical Engineering Shahid Chamran University of Ahvaz

Abstract

Stress - strain analysis of pressure vessels has an important role in their design. The choice of the numerical method is very importand in elastoplastic analysis. Return mapping algorithm is a powerful numerical method in the elastic-plastic analysis of nonlinear problems which consists of two steps of elastic predictor and plastic corrector. In this research, the return mapping algorithm is developed to analyze a thick cylinder under internal cyclic pressure. The material behavior is considered to be nonlinear kinematic hardening and the yield criterion is the Von-Mises function. Variation of the radial and tangential stresses and strains were obtained. The results obtained by this algorithm are com pared to those obtained by nite element method and a good agreement is observed.

Keywords