Microstructure Sensitive Design (MSD) offers a rigorous mathematical framework for
representing the relevant statistical details of the material microstructure for a given design problem,
and for developing quantitative invertible relationships between these microstructure representations
and the macroscale properties of interest. The methodology makes extensive use of Fourier
representations of the distribution functions representing the material internal structure and existing
homogenization theories. In this paper, we describe the application of the MSD framework to fcc
polycrystals with a specific focus on the crystallographic texture as the microstructure design
variable. The advantages of the MSD approach are demonstrated through a number of elastic-plastic
property closures for cubic metals.
