復合材料隨機多尺度分析數(shù)值方法與工程應用

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