Brent L. Adams is Dusenberry Professor of Mechanical Engineering at Brigham Young University. From 1976-80 he was Senior Research Engineer for Babcock and Wilcox Company. He has been a professor of materials science at the University of Florida and Carnegie Mellon University, and a professor of mechanical engineering at Yale University and Brigham Young University. He was recipient of a National Science Foundation Presidential Young Investigator Award (1985-1990). Professor Adams directed the team of researchers that developed the orientation imaging microscope, which is now used by over 400 laboratories some 30 countries of the world to advance the development of materials. He is the author of 170 papers and five edited proceedings. Surya R. Kalidindi earned a B.Tech. in Civil Engineering from the Indian Institute of Technology, Madras, an M.S. in Civil Engineering from Case Western Reserve University, and a Ph.D. in Mechanical Engineering from the Massachusetts Institute of Technology. After his graduation from MIT in 1992, Surya joined the Department of Materials Science and Engineering at Drexel University as an Assistant Professor, where he served as the Department Head during 2000-2008. In 2013, Surya accepted a new position as a Professor of Mechanical Engineering in the George W. Woodruff School at Georgia Institute of Technology, with joint appointments in the School of Computational Science and Engineering and in the School of Materials Science and Engineering. Surya’s research efforts over the past two decades have made seminal contributions to the fields of crystal plasticity, microstructure design, spherical nanoindentation, and materials informatics. His work has already produced about 200 journal articles, four book chapters, and a new book on Microstructure Sensitive Design. His work is well cited by peer researchers as reflected by an h-index of 52 and current citation rate of about 1000 citations/year (Google Scholar). He has recently been awarded the Alexander von Humboldt award in recognition of his lifetime achievements in research. He has been elected a Fellow of ASME, ASM International, TMS, and Alpha Sigma Mu. Dr. David Fullwood is a member of the Materials group in the Mechanical Engineering Department at Brigham Young University. Following his PhD in mathematics he spent 12 years working for the nuclear industry in the UK. As Head of R&D and Head of Mechanical Engineering he developed high-speed energy storage flywheels based on novel composites for two spin-off companies. The result was the most high-tech flywheel available, with applications on the NY Metro, a Fuji wind farm and other areas requiring energy smoothing. Dr Fullwood returned to academia in 2004, with a brief spell at Drexel University followed by his current position at BYU. He now focuses on composites / nano-composites, microscopy and computational methods in materials science.

• Chapter 1. IntroductionChapter 2. Tensors and RotationsChapter 3. Generalized Fourier SeriesChapter 4. Description of the MicrostructureChapter 5. Symmetry in Microstructure RepresentationChapter 6. Continuum TheoriesChapter 7. Homogenization TheoriesChapter 8. The Microstructure HullChapter 9. The Property ClosureChapter 10. A Design ProcessChapter 11. Higher Order Microstructure RepresentationChapter 12. StereologyChapter 13. Higher Order HomogenizationChapter 14. The 2nd-Order Property Closure and Design OptimizationChapter 15. Microstructure Evolution by ProcessingAppendix A. Symmetry Point OperatorsAppendix B. Spherical Harmonic Functions and TablesAppendix C. Orientation Imaging MicroscopyBibliographyNotationIndex