Theoretical and experimental investigation of hydro-mechanical deep drawing of hemi-prolate spheroid cups

Abstract

In this paper, a theoretical model was proposed to stress analysis and calculate the critical fluid pressure path corresponding to rupture instability in hydro-mechanical deep drawing (HMDD) of hemi-prolate spheroid (HPS) cups. This model is based on Barlat and Lian yield criterion and maximum drawing force condition was utilized to rupture instability analysis. The effects of material and process parameters were investigated on critical fluid pressure path. The results demonstrated that maximum permissible fluid pressure is increased by enhancement of sheet thickness, strain hardening exponent, anisotropy and reduction of friction coefficient. Decrease the difference between semi-major and semi-minor axis of the hemiprolate spheroid, enlarges safe zone. Finally, a serial of HMDD experiments were accomplished to verify the theoretical critical fluid pressure path. Theoretical results agree well with experimental data.

Optimization of process parameters during hydroforming of tank bottom using NSGA-III algorithm

“…Other models such as Barlat and Lian yield criterion, forming limit diagram (FLD) model and finite element model [5] are also used to simulate the hydroforming process. Alizad-Kamran and Hoseinpour-Gollo [6] proposed a theoretical model based on Barlat and Lian yield criteria to conduct fracture instability analysis with maximum drawing force conditions, and studied the influence of material and process parameters on the path of critical fluid pressure. Modi and Kumar [7] establish the regression equation between process parameters and objective functions based on the results of experiments and finite element analysis.…”

“…combining with Eqs. (4), (5),(6) and(7) above, the ultimate strain values of sheet can be calculated by substituting relevant mechanical property parameters of materials with different values of  . The ultimate strain values are shown in…”