Architected cellular SMAs and their multiscale modeling

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Table of contents

Chapitre 1 State of art 
1.1 SMA heterogeneous materials and their modeling
1.1.1 SMAs and their constitutive modeling
1.1.2 SMA composites and their multiscale modeling
1.1.3 Architected cellular SMAs and their multiscale modeling
1.2 Instability phenomenon of long fiber reinforced composites
1.2.1 Microscopic numerical models
1.2.2 Multiscale homogenization models and their nonlinear solver
1.3 Multiscale homogenization methods
1.3.1 Sequential multiscale homogenization methods
1.3.2 Integrated multiscale homogenization methods
1.3.3 Data-driven multiscale homogenization methods
1.3.4 Material-genome-driven multiscale homogenization method
1.3.5 Structural-genome-driven multiscale homogenization method
1.4 Conclusion
Chapitre 2 Formulations and applications of multiscale modeling for SMA heterogeneous materials 
2.1 Scale transition technique and local thermomechanical SMA model
2.1.1 FE2 scale transition technique
2.1.2 Thermomechanical formulation of SMA constitutive behavior
2.2 SMA fiber reinforced composite
2.2.1 Pseudo-elasticity
2.2.2 Shape memory effect
2.2.3 Comments on the computational resources
2.3 Architected cellular SMA
2.3.1 Cellular response
2.3.2 Structural response
2.4 Conclusion
Chapitre 3 Multiscale modeling for the instability of long fiber reinforced composites
3.1 Modeling
3.1.1 Macroscopic scale
3.1.2 Microscopic scale
3.1.3 Formulation of the ANM
3.2 Numerical results
3.2.1 Validation for the multiscale model
3.2.2 Microscopic instability modes
3.2.3 Computation efficiency
3.2.4 Macro-micro coupled instabilities
3.3 Conclusion
Chapitre 4 Data-driven multiscale modeling methods 
4.1 Formulation of data-driven FE2
4.1.1 Classical FE2
4.1.2 Data-driven computing and scale decoupling
4.2 Validation and application of data-driven FE2
4.2.1 Convergence analysis
4.2.2 Inelastic composite plate
4.2.3 Computational cost
4.2.4 Fiber reinforced plate
4.3 Formulation of SGD computing
4.3.1 SGD method
4.3.2 Structure-genome database prepared via FE2 technique
4.4 Validation and application of SGD computing
4.4.1 Validation
4.4.2 Thin composite beam
4.5 Conclusion
Chapitre 5 Conclusion and perspectives 
Appendix A. Asymptotic numerical method
Bibliographie