Identification of the modified Drucker–Prager yield condition and modeling of compaction of the plasticized titanium feedstock

Abstract

A computer modeling procedure of densification of the noncompact titanium feedstock is considered. The modified Drucker–Prager cap model is used to describe the rheological flow of the deformed mass. It is shown that, when identifying the accepted model with the accuracy acceptable for engineering calculations, it is reasonable to use the auxiliary curve based on the Bernoulli lemniscate, which makes it possible to reduce the number of experiments necessary to construct the piecewise-smooth Drucker–Prager yield curve. The plastic deformation of the representative volume cell of sieving the titanium sponge in various deformation modes is investigated. To improve the formability of the noncompact titanium-containing feedstock, the plasticizing effect associated with an increase in the amount of the plastic β-phase upon hydrogen alloying is used. It is revealed based on theoretical and experimental investigations that hydrogen alloying makes it possible to form a denser billet at invariable temperature and compaction force compared with the traditional densification technology of titanium sponge. It is established that the distribution uniformity of relative density over the axial billet section increases with the additional hydrogen alloying. The satisfactory convergence of results of computer modeling and an experimental investigation into the compaction of the titanium sponge in a closed die is shown.