Computational Mesomechanics of Surface-Modified Titanium

A numerical simulation is performed to investigate the mesoscale stress-strain localization in a surfacemodified commercial titanium alloy (VT1-0 according to Russian classification). The calculated crystalline microstructure corresponds to that observed experimentally and is explicitly accounted for as initial conditions of a dynamic boundary-value problem. The latter is formulated in terms of plane strain developing in a microstructure subjected to tension and is solved numerically by the finite-difference method. Elastic-plastic constitutive models are built to describe the experimental mechanical responses both of the substrate and of the modified layer. The plastic strain localization is found to depend on the grain yield stress.