Chapter 1 Introduction 1.1 The concept and application of functionally graded materials 1.2 Mechanics progress of functionally graded materials 1.3 Research progress of micromechanical analysis of functionally graded materials 1.4 Research progress in inversion, identification and optimization design of functionally graded materials 1.5 The main contents and features of this book Chapter 2 Three-dimensional and trans-scale analysis of functionally graded material structures 2.1 The microelement method for analysis of functionally graded material structures 2.2 Basic formula for inverse analysis of functionally graded material structures 2.3 The development of microelement method and inversion analysis program for L structural analysis of functionally graded materials 2.4 Summary Chapter 3 Numerical check of the microelement method 3.1 Numerical check for the static calculation of the microelement method 3.2 Numerical check of dynamic calculation of microelement method 3.3 Numerical check of inversion analysis of microelement method 3.4 Summary Chapter 4 Three-dimensional static analysis of functionally graded plates based on functionally graded distribution function 4.1 Three-dimensional analysis of plates with different functional gradient distribution functions 4.2 Three-dimensional analysis of functionally graded plates with complex boundary conditions 4.3 Three-dimensional analysis of the material properties gradient variation plates along the plane direction 4.4 Summary Chapter 5 Trans-scale analysis of functionally graded plates based on material micro-composition distributions 5.1 Trans-scale analysis of macroresponse of functionally graded plates directly calculated from material composition 5.2 Trans-scale analysis of plates with material composition variation along the plate plane 5.3 Influence of the existence and distribution of gaps on the macroscopic response of functionally graded plates 5.4 Macromechanical response analysis of functionally graded plates with complex shape based on microcomposition of material components 5.5 Trans-scale analysis of macroscopic response of the opening functionally graded plates by the direct calculation of material composition 5.6 Summary Chapter 6 Trans-scale analysis of functionally graded plates based on the material metallographic images 6.1 Macro and micro trans-scale analysis of functionally graded plates based on metallographic image input 6.2 Three-dimensional analyses for FGM plates with medium components and different net structures 6.3 Effects of microstructural tiny changes on macroscopic response of functionally graded plates with medium-component network structures 6.4 Summary Chapter 7 Three-dimensional and trans-scale dynamic characteristics analysis of functionally graded plates ……