Development of a prediction technique of spatial strain distributions using a function of Schmid factor

Abstract

An indicator, named slip operation factor (SOF), to predict the ease of slip operation in crystalline materials was developed. SOF is a function of Schmid factor (SF) and CRSS, and considers mechanical interactions among plastically “soft” and “hard” regions. A microstructural map of polycrystal α-titanium was obtained by electron back-scatter diffraction (EBSD), and several spatial distributions of SOF were obtained based on the map with changing the influence range of mechanical interactions among regions. The distributions were compared with the spatial distribution of slip strain obtained by a crystal plasticity finite element method, and they showed good agreement with each other when the influence rage was appropriate. The accuracy in the prediction of slip strain by SOF was higher than those by SF and normalized SF which is a type of SF considering the difference of critical resolved shear stresses (CRSSs) among slip systems.