A multivariate grain size and orientation distribution function: derivation from electron backscatter diffraction...

Area of Science:

• Materials Science
• Crystallography
• Metallurgy

Background:

• Polycrystalline material properties are significantly influenced by grain size and crystallographic texture.
• Current analysis methods often treat grain size and texture independently, overlooking potential correlations.
• Microstructural formation mechanisms suggest an inherent link between grain size and orientation.

Purpose of the Study:

• To develop a unified framework for analyzing correlated microstructural parameters.
• To introduce the multivariate grain size orientation distribution function (GSODF).
• To demonstrate the practical applications of GSODF in materials analysis.

Main Methods:

• Derivation of the multivariate grain size orientation distribution function (GSODF).
• Application of GSODF to analyze 2D and 3D electron backscatter diffraction (EBSD) data.
• Utilizing GSODF for generating representative volume elements (RVEs) and for mean-field simulations.

Main Results:

• The GSODF effectively combines grain size distribution and orientation distribution functions.
• Demonstrated utility of GSODF in analyzing microstructural data from low carbon steels.
• Successful application of GSODF in generating RVEs and in mean-field simulations.

Conclusions:

• The GSODF provides a powerful, integrated approach to characterizing polycrystalline microstructures.
• This unified method enhances the understanding of structure-property relationships in materials.
• GSODF is a valuable tool for advanced materials modeling and analysis.