复合材料随机多尺度分析数值方法与工程应用Stochastic Multiscale Simulation Method and Application for Composite Material

《复合材料随机多尺度分析理论方法及工程应用》为国内*部英文论著，系统论述复合材料计及组分材料、制造工艺带来的微观结构物理属性及几何的随机性，推演到宏观力学性能的预测方法，展示了对纤维增强树脂基复合材料、颗粒增强多相复合材料、增材制造多层级结构等可靠性的提高具有良好实用性。 

本书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。

文聘，就职于武汉理工大学。2010年7月本科毕业于大连交通大学，2013年7月硕士毕业于北京工业大学，2016年7月博士毕业于日本庆应义塾大学，2016年7月~2018年9月于北京工业大学从事博士后研究。研究方向为新型材料-结构力学性能分析与结构设计。目前主持完成第62批中国博士后科学基金面上项目及国际交流项目，北京市及朝阳区博士后科学基金项目资助课题4项。参与完成日本振兴科学学会项目课题2项。期刊上发表SCI、EI论文8篇。审批通过国家发明专利4件。获得软件著作权2件。

Chapter 1Overview

1.1Motivation

1.2Purpose and approach

1.3Organization of thesis

Chapter 2Background and theoretical fundamentals

2.1Micromechanics of composite material

2.2Homogenization and localization theory

2.3Conventional heterogeneous material design

2.4Literature review on coated particulate composite material

2.4.1Application and characteristics performance

2.4.2Manufacturing

2.4.3Numerical approach for multiscale modeling

Chapter 3Firstorder perturbation based probabilistic multiscale theory

3.1Introduction

3.2Problem setting of threephase composite material

3.3Firstorder perturbation based stochastic homogenization

3.4Computer implementation

3.5Simplification case of porous material

3.6Extensionof firstorder perturbation based stochastic homogenization to
nphase constituent material

Chapter 4Computational material design methods

4.1Introduction

4.2Parameterization modeling

4.3Probabilistic sensitivity considering manufacturing based random field
modeling

4.4Update of prediction

Chapter 5Numerical example for coated particulate composite material

5.1Introduction

5.2Microstructure generation algorithm for coated particulate composite material

5.3Result and discussion on probabilistic homogenized property for coated
particulate composite material

5.4Result and discussion on probabilistic sensitivity for coated particulate
composite material
Stochastic Multiscale Simulation Method and Application for Composite Material

Chapter 6Numerical example for spherical porous material

6.1Introduction

6.2Numerical example setting for spherical porous material

6.3Microstructure generation algorithm

6.4Regression curve of probabilistic homogenized elastic property for
spherical porous material

6.5Update of prediction by experimental data

Chapter 7Numerical example for lattice structure by selective laser sintering

7.1Introduction

7.2Definition of lattice structure and process parameters of selective
laser sintering

7.3Geometrical imperfections

7.4Compression test

7.5Stochastic homogenization analysis and discussion

7.5.1Firstorder perturbation based stochastic homogenization method

7.5.2Statistical finite element models with geometrical imperfections

7.5.3Numerical results and discussion

Chapter 8Discussions on theoretical framework of firstorder perturbation
based stochastic homogenization method
8.1Findings

8.2List of assumptions and limitations

8.3Future works

8.3.1Potential application to Fiber reinforced plastics

8.3.2Extension touncertainty propagation

8.3.3Reduction of computational time

Appendix ANomenclature

Appendix BMicroscopic stress analysis and verification of probabilistic sensitivity
for strength prediction of coated particulate composite material

Appendix CMicroscopic stress concentration check for spherical porous material

Reference

This book aims at introducing a probabilistic multiscale simulation based approach for design and fabrication of materials considering microstructural uncertainties. It is apparently clear from the extant literature that the parameters to capture microstructural uncertainties are unclear, and it is therefore very challenging to frame the research problem either using the homogenization process or using a statistical model.