DATA-DRIVEN REPRESENTATION AND CLUSTERING DISCRETIZATION METHOD AND SYSTEM FOR DESIGN OPTIMIZATION AND/OR PERFORMANCE PREDICTION OF MATERIAL SYSTEMS AND APPLICATIONS OF SAME

摘要

A method and system for design optimization and/or performance prediction of a material system includes generating a representation of the material system at a number of scales, the representation at a scale comprising microstructure volume elements (MVE) of building blocks of the material system at said scale; providing inputs to the MVEs; collecting data of response fields of the MVE computed from a material model of the material system over a predefined set of material properties and boundary conditions; applying machine learning to the collected data to generate clusters; computing an interaction tensor of interactions of each cluster with each of the other clusters; and solving an governing partial differential equation using the generated clusters and the computed interactions to result in a response prediction usable in an iterative scheme in a multiscale model for the material system. The performance of each scale can be predicted for design optimization.