Calculations of earing in deep drawing for BCC metal sheets using texture data

Abstract

The present study aims to calculate the height at each peripheral position of a cup drawn from a polycrystalline BCC metal sheet using texture data. In an analytical treatment, the polycrystalline sheet is simplified by considering it to be an aggregate of many single crystals with various orientations. A three-dimensional crystalline orientation distribution function which is constructed from measured texture data is used as the volume fraction of a particular oriented crystal. The ear is calculated crystallographically by considering both restricted glide and pencil glide. In an experiment four kinds of steel sheets were used. An average texture over a thickness of the sheet was measured by the Schulz reflection method. The calculated ear based on the measured texture was compared with the experimental ear for each sheet. The results show that all principal features of the ear of the drawn cup are predicted satisfactorily by the calculation in which pencil glide is not taken into consideration.