This book provides a comprehensive exploration of the static and dynamical behaviours of functionally graded structures, bringing together a wide range of valuable insights. Detailed analyses of bending, buckling, and vibration, are conducted. Additionally, the book showcases cutting-edge modelling techniques for static and dynamic problems, employing analytical, semi-analytical, and numerical approaches. The content of this book is designed to benefit researchers, undergraduate and graduate students, and industry professionals across various disciplines, including structural, mechanical, civil, aerospace engineering, applied mathematics as well as mathematical physics. Moreover, it serves as a valuable resource for educators, as it can be utilized for teaching classical and advanced structural dynamics, computational solid mechanics, along with related computational methods.