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

Abstract

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. (C) 2010 Elsevier B.V. All rights reserved.