Design of stationary plane strain drawing based on the ideal flow theory and a fracture criterion

Abstract

The ideal flow theory provides a tool for designing metal forming processes. However, quite often the design based on this theory is not unique. The purpose of the present work is to investigate a possibility of using an additional design criterion driven by fracture. The fracture criterion adopted is based on the concept of workability diagram for rate-independent materials and its generalization for rate-dependent materials. It is shown that for stationary forming processes of rate-independent materials this criterion does not lead to a design criterion, whereas for stationary forming processes of rate-dependent materials it does. In the latter case, a numerical example for plane-strain drawing is given.