Flow stress evaluation of zinc copper and carbon steel tubes by hydraulic bulge tests considering their anisotropy

The object of this paper is to evaluate the stress–strain characteristics of annealed C26800 zinc copper tubes and AISI 1215 carbon steel tubes considering their anisotropic effects by hydraulic bulge tests and tensile tests. In this analytical model, Hillʹs orthogonal anisotropic theory was adopted for deriving the effective stresses and effective strains under a biaxial stress state. The tube thickness at the pole, bulge height and the internal forming pressure were measured simultaneously during the bulge tests. The effective stress–effective strain relations could be determined by those measured values and this analytical model. The flow stress curves of C26800 copper and AISI 1215 carbon steel tubes obtained by this approach were compared with those obtained by the tensile test with consideration of materialʹs anisotropy. The finite element method was also adopted to conduct the simulations of hydraulic bulge forming with the flow stress curves obtained by the bulge tests and tensile tests. The analytical forming pressures versus bulge heights were compared with the experimental results to validate the flow stress modeling proposed in this paper.