Application of Microstructure Sensitive Design to FCC Polycrystals

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.