Mathematical modeling of damage accumulation near grain boundaries in titanium alloys

The work is dedicated to describing and modeling of the damage formation process near a boundary of two adjacent grains in α−Ti alloy. The main microdamage mechanism near grain boundary was the stress field of a dislocation pile-up in one grain. As a result of numerical modeling, the resulting tangent and normal stresses in the slip systems of “hard” grain, with hexagonal closed packed (HCP) crystallographic structure, were obtained at a given point. In addition, the dependences of the stress intensity and maximum tangent and normal stresses on relevant characteristics were built.