The present monograph deals with new advanced materials, including composites, functionally graded materials, materials for high temperature service, advanced approaches to local and non–local analysis of localized damage, new description of crack deactivation, and many more.

It contains following subjects: Material properties for high temperature applications; thermodynamics of constitutive modeling of damaged materials; developing and implementing selected constitutive models for elasto–plastic–damage materials; developing and implementing constitutive models for the specific functionally graded materials, with special attention paid to thermal barrier coatings.