In the hottest zones of aero-engines and industrial gas turbines, the need for outstanding properties makes it mandatory for the use of superalloys and single crystal superalloys. This kind of material has been optimized from empirical solutions, with very low input from the models for design purposes. This drawback is mainly due to the complexity of industrial alloys creating an issue of predictive modelling. This book is written to simultaneously address the most advanced knowledge in metallurgy and computational mechanics applied to superalloys used as a bare material or with thermal barrier coating system. Joining both aspects, the book helps to understand the mechanisms driving properties and their evolution from fundamental to application level. The guidelines provided are helpful for students and researchers who wish to understand issues and solutions, to optimize materials and to model them in a cross-check analysis, from atomistic to component scale. The book is useful for both students and engineers, making accessible the most advanced methods for processing, characterization and design.