EU Regional School - Kalidindi Seminar
Prof. Dr.Surya Kalidindi - Rigorous Quantification of the Hierarchical Material Structure in a Statistical Framework
Georg W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology, USA
Abstract
A versatile framework for the rigorous quantification of the hierarchical material internal structure will be presented in this lecture along with demonstrations to applications on a broad variety of heterogeneous material structures at different length scales and different materials classes. This new framework is based on the established concepts of n-point spatial correlations that provide a systematic statistical description of the highly complex material structure. The framework takes advantage of toolsets established in digital signal processing, Fourier representations, and principal component analyses to develop high performance computational toolsets needed for performing the computations involved. The versatility of the framework will be demonstrated through the application of a single consistent framework at both atomistic and continuum length scales as well as different materials classes (e.g., multiphase composites, polycrystals, porous membranes).