Rodney James Mccabe

This chapter explains the bridging between the three different length scales (atoms, mesoscale grain, and macroscale polycrystal) for hexagonal close packed (HCP) materials. It explains how to account for the fundamental mechanisms of slip and twinning and how to integrate them into a multiscale approach for predicting the macroscopic response of HCP aggregates. A common feature of crystal plasticity (CP) models is that they represent the aggregate as a collection of grains, each with an assigned volume fraction chosen in such a way as to reproduce the measured initial texture. The chapter shows how experimental and computational lower length scale statistical information can be incorporated into the macroscale polycrystal models. It demonstrates that when the probability model for twin nucleation is implemented into visco‐plastic self‐consistent (VPSC), the multiscale framework predicts well the macroscopic stress‐strain curve, texture, and twinning statistics in agreement with experimental measurements.