Variational Models for Grain Boundaries in Polycrystals - Lecture 1

Explore variational models for grain boundaries in polycrystals through this mathematical lecture delivered at the Centre International de Rencontres Mathématiques. Delve into the mathematical framework used to analyze and model the behavior of grain boundaries, which are interfaces between crystalline regions with different orientations in polycrystalline materials. Learn about the calculus of variations approach to understanding these complex microstructural features that play crucial roles in material properties. Examine the theoretical foundations and mathematical tools necessary for describing grain boundary energy, evolution, and geometric configurations. Discover how variational principles can be applied to predict grain boundary behavior and morphology in polycrystalline systems. Access enhanced viewing features including chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification to navigate specific topics of interest within this comprehensive mathematical treatment of grain boundary modeling.