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本書全面系統地論述了材料性能多尺度分析方法與攝動展開漸進均勻化方法的基本理論，建立了以概率隨機數值方法為基礎的等效彈性力學性能分析方法實現過程，較為全面地實現了對材料二維、三維彈性應力場的隨機模擬。另外，本書還探討了多孔材料、多相複合材料隨機等效彈性力學性能統計分佈特徵，並提出了其相應的模型。
本書適合作為普通高等學校力學專業或土木工程專業的教材，也可作為材料性能多尺度分析方法的參考書，還可供相關專業技術人員參考。
本書適合作為普通高等學校力學專業或土木工程專業的教材，也可作為材料性能多尺度分析方法的參考書，還可供相關專業技術人員參考。
目次
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 3Firstorder perturbation based probabilistic multiscale theory
3.1Introduction
3.2Problem setting of threephase composite material
3.3Firstorder perturbation based stochastic homogenization
3.4Computer implementation
3.5Simplification case of porous material
3.6Extensionof firstorder perturbation based stochastic homogenization to
nphase 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
7.5.1Firstorder 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 firstorder 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
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 3Firstorder perturbation based probabilistic multiscale theory
3.1Introduction
3.2Problem setting of threephase composite material
3.3Firstorder perturbation based stochastic homogenization
3.4Computer implementation
3.5Simplification case of porous material
3.6Extensionof firstorder perturbation based stochastic homogenization to
nphase 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
7.5.1Firstorder 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 firstorder 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
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