Three-stage relationship between flow stress and dynamic grain size in titanium in a wide temperature interval

The relationship, σ∝D−N, between the flow stress (σ) and the size (D) of deformation-induced grains has been established for commercial-purity titanium in the interval 77-1123 K. The relationship has three parts with different grain size exponent (N). The N values of 0.83, 0.38, 0.95 were obtained in the intervals of low stresses (hot deformation), moderate stresses (warm deformation) and high stresses (cold deformation), respectively. The changes in the values of N were suggested to be associated with different mechanisms of microstructure evolution.