“…Example statistical distributions that distinguish c 0 precipitate morphology include the size, aspect ratio and degree of sphericity, while characterization of c 0 precipitate spatial configurations include the two-point correlation function, local volume fraction distribution, channel-width distribution and distance-to-edge distribution. 27 For parametric homogenization leading to the PHCPMs, it is prohibitive to incorporate detailed microstructural representation to the higher scale. It is important to have an optimal set of reduced parameters for representing the microstructure, while retaining the accuracy of microstructural influence on response prediction.…”