The book deals with the thermal and mechanical fracture of functionally graded materials on homogeneous substrate (FGM/H) structures. Emphasis is placed on multiple crack interactions. FGMs have a wide range of engineering applications; especially in thermal barrier coatings. Potentially desirable thermal and mechanical properties of functionally graded coatings (FGCs) are analyzed as well as available real material combinations, e.g. (ceramic/metal)/metal.