Three-dimensional modeling of the grain boundary misorientation angle distribution based on two-dimensional experimental texture measurements

The current paper presents a new model proposed to distribute the grain boundary misorientation angles (GBMAs) into a three-dimensional polycrystalline aggregate based on the statistical distribution obtained from the two-dimensional texture measurements in ultrafine-grained (UFG) materials. The model is constructed as a tool that establishes a three-dimensional neighborhood of grains where the respective volume fractions of high-angle and low-angle grain boundaries (HAGBs and LAGBs) are preserved. Both UFG and coarse-grained materials are addressed in the model, and the HAGBs and LAGBs were distributed into three-dimensions with a maximum percentage error of 2.5% in their volume fractions. The current results open a new venue for the utility of the current model in conjunction with a crystal plasticity algorithm in order to properly account for the misorientation at the grain boundary, which dictates the cyclic stability of UFG materials, simulating deformation response of these materials.