Functionally graded materials (FGMs)are composites with gradually varying material content. This book presents current research in the study of FGMs, including the fracture and contact problems of functionally graded materials; FGMs obtained by combustion synthesis techniques; thermoplastic simulation of FGMs; the thermal buckling analysis of functionally graded arbitrary straight-sided quadrilateral plates; the mechanical response of metal-ceramic FGMs and simulation of quasi-static crack propagation in FGMs.