Generalized Pareto front methods applied to second-order material property closures

A recent paper constructed a new methodology for tackling the inverse problem of material design using the Fourier expansion techniques of microstructure-sensitive design (MSD). A very limited demonstration of the procedure was given in the paper – constructing a small part of a property closure (with fixed texture). In this paper, methods of producing the full closure are presented, the mapping between the material design space (microstructure hull) and property closure is visualized, and an example demonstrates how a designer might use the mapping to determine the optimal material design.