Mathematical modeling of drawing rods made of titanium sponge allowing for pore formation

Abstract

Mathematical modeling of drawing a billet formed by compacting a titanium sponge is performed in the ABAQUS engineering analysis software package, allowing for the possibility of pore formation during deformation. It is shown that the maximal porosity at small drawing is formed equally due to the variation in occurring pores and the appearance of a new defect; with an increase in the elongation, it is determined mainly by the growth of newly formed continuity defects, the nucleation region of which corresponds to the region of tensile stresses. The volume fraction of newly formed defects substantially affects the total porosity at large elongation and conicity angle, which increases the damage and can become the cause of rod break.