Mathematical modeling of the drawing process for bars made of titanium sponge taking into account cavitation

Abstract

The ABAQUS engineering analysis package was used for mathematical modeling of the drawing process for a billet obtained by compressing titanium sponge taking into account potential cavitation during forming. It was shown that for a low drawing ratio the maximum porosity is formed equally both due to changes in existing pores and appearance of new defects whereas when the drawing ratio increases, it is caused mainly by the growth of newly formed discontinuities with the area of origin corresponding to the area of tensile stress. For the larger drawing ratio and cone angle, the volume fraction of newly formed defects significantly affects the overall porosity. This increases the damage and may lead to bar breakage.