Cylindrical cup drawing of commercially pure titanium: experiment and finite-element simulation considering anisotropic hardening

Abstract

The finite-element simulation using three yield criteria (Yld2000-2d, CPB06 with and without considering the SD effect) applying isotropic or anisotropic hardening rule of a commercially pure titanium sheet drawing were carried out, and their accuracies were evaluated by comparing them with experimental result. In experiments, the maximum cup height appears at 43 angle to the rolling direction, and there are positions with locally minimum cup heights (valley) around 0° and 90°. The shape of valley around 0° is almost flat which means the heights from 0° to 14° are almost same, unlike around 90° with round shape. The accuracy of simulation was greatly improved by applying anisotropic hardening rule in each yield criteria. Moreover, that using CPB06 with considering the SD effect applying anisotropic hardening rule qualitatively gave the most accurate prediction in shapes of valley around both 0° and 90°. The reason of such a high accuracy in this condition can be that the influence of the shear stress is appropriately reflected.

Keywords

• commercially pure titanium
• cup drawing
• anisotropic yield function
• anisotropy hardening
• finite-element simulation
• earing