Micromechanical analysis of residual stress around coarse precipitates under cold rolling condition

Characteristic microstructure of fine equi-axed grains with highly orientation gradients are often found around coarse precipitate in cold rolled specimens, which is regarded as the nucleation site of recrystallization under the cold rolling and subsequent heat treatment. In order to predict the influence of applied strain and precipitate shape on the strain and stress disturbance in the vicinity of the precipitate, inhomogeneity problem under cold rolling condition has been solved by analytical solutions of the interior and exterior point Eshelby’s tensor. It is found that the stress and strain disturbance around the precipitate is greatly changed with the aspect ratio of the precipitate, where the region of the stress localization is dependent on the curvature of the precipitate at both of the ends of precipitates parallel to the rolling direction. The prediction value of the residual stress strongly suggests that the formation. of the rotated zone is attributed to the relaxation of the disturbed stress under cold rolling.