Surya R. Kalidindi¹; ¹Georgia Institute of Technology

This paper will review our recently developed framework for a rigorous statistical quantification of the hierarchical material internal structure spanning multiple material structure/length scales, and its efficient representation using various orthogonal representations including Fourier basis and principal component analyses (PCA). This new framework offers a consistent and systematic quantification of the material structure in low dimensional forms that are ideally suited for the extraction of low computational cost process-structure-property (PSP) linkages needed to efficiently explore the vast materials design space. The versatility and broad applicability of this framework will be demonstrated through case studies selected in different materials classes and different material length scales.