Analytical treatment of tube drawing with a mandrel

Abstract

An upper-bound analysis is used to estimate the required power in tube drawing and ironing of rigid, perfectly plastic material through a conical die. The frictional stresses exerted by the die and the mandrel on the material have constant values. The proposed kinematically admissible velocity field accounts for the singular behaviour of the real velocity field in the vicinity of the maximum friction surface. An optimal die angle is determined. The analysis agrees favourably with experiments and other theoretical solutions.