Mathematical Research in Materials Science

This book describes fruitful past collaborations between the mathematical and materials sciences and indicates future challenges. It seeks both to encourage mathematical sciences research that will complement vital research in materials science and to raise awareness of the value of quantitative methods. The volume encourages both communities to increase cross-disciplinary collaborations, emphasizing that each has much to gain from such an increase, and it presents recommendations for facilitating such work.This book is written for both mathematical and materials science researchers interested in advancing research at this interface; for federal and state agency representatives interested in encouraging such collaborations; and for anyone wanting information on how such cross-disciplinary, collaborative efforts can be accomplished successfully.Table of ContentsFRONT MATTER1 SUMMARY AND OVERVIEW2 ATOMIC SCALE3 MACROMOLECULAR STRUCTURES4 EVOLUTION OF MICROSTRUCTURES5 DEFECTS, DEFORMATION, AND INTERFACES6 AGGREGATES AND DISORDERED MATERIAL7 PROCESSING, FABRICATION, AND EVALUATION8 MATHEMATICAL AND NUMERICAL METHODS9 RECOMMENDATIONSBIBLIOGRAPHYAPPENDIX