文聘著的《复合材料随机多尺度分析数值方法与工程应用（英文版）》全面系统地论述了材料性能多尺度分析方法与摄动展开渐进均匀化方法的基本理论，建立了以概率随机数值方法为基础的等效弹性力学性能分析方法实现过程，较为全面地实现了对材料二维、三维弹性应力场的随机模拟。另外，本书还探讨了多孔材料、多相复合材料随机等效弹性力学性能统计分布特征，并提出了其相应的模型。
本书适合作为普通高等学校力学专业或土木工程专业的教材，也可作为材料性能多尺度分析方法的参考书，还可供相关专业技术人员参考。

Chapter 1 Overview
1.1 Motivation
1.2 Purpose and approach
1.3 Organization of thesis
Chapter 2 Background and theoretical fundamentals
2.1 Micromechanics of composite material
2.2 Homogenization and localization theory
2.3 Conventional heterogeneous material design
2.4 Literature review on coated particulate composite material
2.4.1 Application and characteristics performance
2.4.2 Manufacturing
2.4.3 Numerical approach for multiscale modeling
Chapter 3 First-order perturbation based probabilistic multiscale theory
3.1 Introduction
3.2 Problem setting of three-phase composite material
3.3 First-order perturbation based stochastic homogenization
3.4 Computer implementation
3.5 Simplification case of porous material
3.6 Extensionof first-order perturbation based stochastic homogenization
to n-phase constituent material
Chapter 4 Computational material design methods
4.1 Introduction
4.2 Parameterization modeling
4.3 Probabilistic sensitivity considering manufacturing based random field modeling
4.4 Update of prediction
Chapter 5 Numerical example for coated particulate composite material
5.1 Introduction
5.2 Microstructure generation algorithm for coated particulate composite material
5.3 Result and discussion on probabilistic homogenized property for coated
particulate composite material
5.4 Result and discussion on probabilistic sensitivity for coated particulate
composite material
Stochastic Multiscale Simulation Method and Application for Composite Material
Chapter 6 Numerical example for spherical porous material
6.1 Introduction
6.2 Numerical example setting for spherical porous material
6.3 Microstructure generation algorithm
6.4 Regression curve of probabilistic homogenized elastic property for spherical
porous material
6.5 Update of prediction by experimental data
Chapter 7 Numerical example for lattice structure by selective laser sintering
7.1 Introduction
7.2 Definition of lattice structure and process parameters of selective laser sintering
7.3 Geometrical imperfections
7.4 Compression test
7.5 Stochastic homogenization analysis and discussion
7.5.1 Firstorder perturbation based stochastic homogenization method
7.5.2 Statistical finite element models with geometrical imperfections
7.5.3 Numerical results and discussion
Chapter 8 Discussions on theoretical framework of first-order perturbation based
stochastic homogenization method
8.1 Findings
8.2 List of assumptions and limitations
8.3 Future works
8.3.1 Potential application to Fiber reinforced plastics
8.3.2 Extension touncertainty propagation
8.3.3 Reduction of computational time
Appendix A Nomenclature
Appendix B Microscopic stress analysis and verification of probabilistic sensitivity
for strength prediction of coated particulate composite material
Appendix C Microscopic stress concentration check for spherical porous material
Reference