本书介绍了一种新的细观元数值模拟方法，建立了材料的宏观性能同其组分材料性能及细观结构之间的定量关系；研究分析了细部构造多种局部变化情况对功能梯度材料结构宏观响应影响；采用适当的优化方法，通过已知的宏观响应来反演、识别功能梯度材料内部参数及其细观分布，特别完成了基于生产时给定的材料组分分布或结构金相图片识别材料性能的一种新的测定功能梯度材料梯度函数分布的数值仿真方法。

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
7.1 Dynamic characteristic algorithm of member
7.2 Three-dimensional dynamic analysis of functionally graded plates with complex
boundary conditions
7.3 Three-dimensional dynamic analysis of functionally graded plates with
complex shape
7.4 Three-dimensional dynamic analysis of functionally graded plates with different
material composition distributions
7.5 Trans-scale analysis for dynamic characteristics of functionally graded plates
with the compositional variation in the plate plane
7.6 Influence of gaps, impurities and the compositional mutations on
three-dimensional dynamic characteristics of functionally graded plates
7.7 Three-dimensional dynamic characteristics analysis of functionally graded
plates with different medium compositional network structures
7.8 Three-dimensional dynamic characteristics analysis of the functionally graded
plates with medium compositional network structures and local microstructural