Constitutive Relations for Inelastic Deformation and Damage Accumulation in Hard Alpha Titanium

Abstract

The constitutive properties of hard alpha Ti were recently generated by Chan et al., 2000, “Constitutive Properties of Hard Alpha Titanium,” Metall. and Maters. Trans. A, Vol. 31A, pp. 3029–3040, using uniaxial compression, indirect tension, indentation, and plane strain compression tests. Flow stress and fracture strength of hard alpha were measured as a function of stress state, strain rate, temperature, and nitrogen content. Hard alpha exhibited plastic flow at low nitrogen contents (<4 wt. percent N), but elastic fracture at high nitrogen contents (>6 wt. percent N). In this paper, this set of constitutive data is used to develop constitutive equations for describing the inelastic deformation and damage accumulation behavior of hard alpha Ti.