$\beta$ orientation reconstruction and shear deformation calculation in hcp-bcc-hcp phase transformation

TL;DR

This paper presents a novel cluster-based method for reconstructing orientation maps and calculating deformation gradients during hcp-bcc-hcp phase transformations, aiding microstructural analysis and modeling.

Contribution

It introduces an automated pixel-wise orientation reconstruction technique and a streamlined method for deformation gradient calculation in phase transformations.

Findings

Effective orientation reconstruction over large regions.

Simplified computation of transformation deformation gradients.

Enhanced analysis of variant selection mechanisms.

Abstract

We introduce a cluster-based technique to automate pixel-wise reconstruction of $\beta$ orientations from parent $\alpha$ orientations over large, indexed regions. This approach provides a valuable tool for analyzing problems that require historical information about current $\alpha$ microstructures, such as investigating variant selection mechanisms during the $\alpha \to \beta \to \alpha$ transformation. Additionally, we present a method for calculating deformation gradient variants associated with phase transformations between hcp ($\alpha$) and bcc ($\beta$) phases based upon a series of frame rotations and shape transformations. This method streamlines the integration of transformation kinematics into continuum-based models by enabling convenient computation of the deformation gradient governing the transformation.