Constitutive modelling of plastic deformation and damage in anisotropic high-purity titanium and validation using ex-situ and in-situ tomography data

Abstract

A study on plastic deformation and damage in titanium was conducted. The X-ray tomography data reveal that damage distribution and evolution in titanium is markedly different than for a FCC material. Theoretically, it is shown that only by modelling both the anisotropy and the tension-compression asymmetry in plastic behaviour it is possible to realistically predict titanium behaviour. For a smooth specimen under uniaxial tension, the model predicts that damage initiates at the centre of the specimen, and is diffuse; the level of damage close to failure being very low. In contrast, for a notched specimen under the same loading it is predicted that damage initiates at the outer surface of the specimen, and grows towards the centre of the specimen, which corroborates with XCMT data.