多尺度点阵结构拓扑优化：理论、方法与程序

Appendix MATLAB codes for 2D L-bracket case

7.5 Conclusion

7.4 Numerical experiment

7.3 Optimization problem formulation

7.2.3 Failure criteria identification and ordered SIMP stress interpolation for lattices

7.2.2 Ordered SIMP stress interpolation for solids

7.2.1 Homogenization of the composite materials

7.2 Technical details

7.1 Introduction

Chapter 7 Stress Constrained Topology Optimization of Heterogeneous Lattice Structures

References

6.7 Conclusion

6.6.4 Fabrication and experimental result

6.6.3 Surface curvature optimization

6.6.2 Mechanical property optimization

6.6.1 PDSLs with different parameter configurations

6.6 Result and discussion

6.5 Fabrication and experimental method

6.4.2 Surface curvature optimization

6.4.1 Mechanical property optimization

6.4 Shape optimization

6.3.2 Parametric generation of path-driven shell lattices

6.3.1 Periodic function

6.3 Path-driven shell lattice design

6.2 TPMS lattices

6.1 Introduction

Chapter 6 Path-driven Shell Lattices Designed for Continuous Fiber Composite 3D Printing

References

Appendix MATLAB codes for 2D cantilever beam case

5.6 Conclusion

5.5 Engineering application: a pillow bracket part

5.4 CSL 3D printing experiment

5.3.2 3D MBB beam

5.3.1 2D cantilever beam

5.3 Numerical examples

5.2.3 Sensitivity analysis

5.2.2 Optimization problem

5.2.1 Material model

5.2 Problem formulation

5.1 Introduction

Chapter 5 Topology Optimization for Vat Photopolymerization 3D Printing of Ceramics with Flushing Jet Accessibility Constraint

References

Appendix MATLAB reference codes for the simply supported beam

4.8 Conclusion

4.7.3 The influence of different lattice types

4.7.2 Further clustering for the highest-density sub-domain

4.7.1 The influence of varying initial designs for guaranteeing connectivity

4.7 Extensions and discussions

4.6 Additive manufacturing and mechanical test

4.5.3 Cantilever

4.5.2 L-bracket

4.5.1 Simply supported beam

4.5 Numerical examples

4.4 Numerical implementations

4.3.3 Inverse homogenization-based MTO

4.3.2 Clustering strategy for post-processing

4.3.1 A LSTO method by using multi-variable lattices

4.3 Methodology

4.2 Homogenization theory

4.1 Introduction

Chapter 4 Comprehensive Clustering-based Topology Optimization for Connectable Multi-scale Additive Manufacturing Structures

References

Appendix MATLAB reference codes for MBB beam

3.4 Conclusions

3.3.4 A bone remodeling example

3.3.3 Additive manufacturing and mechanical tests

3.3.2 MBB beam

3.3.1 L-bracket beam

3.3 Numerical examples

3.2.6 Optimization procedures

3.2.5 Sensitive analysis

3.2.4 Formulation of the optimization problem

3.2.3 The ordered solid-lattice-void interpolation

3.2.2 Parametrized modeling for the candidate lattice

3.2.1 Design of extreme anisotropic lattice structures

3.2 Method

3.1 Introduction

Chapter 3 Multiscale Topology Optimization for Solid-lattice-void Hybrid Structures through An Ordered Multi-phase Interpolation

References

Appendix MATLAB codes for the 3D three-point bending beam case

2.8 Discussion and conclusion

2.7 Extension to incorporate macroscopic topological changes

2.6 Applications to part design

2.5 Mechanical test

2.4.2 A 3D L-bracket structure

2.4.1 A 3D three-point bending beam

2.4 Numerical examples

2.3.5 Numerical implementation

2.3.4 Sensitivity analysis

2.3.3 Formulation of the LSTO problem

2.3.2 Parameterized property modeling for the proposed candidate lattice

2.3.1 Design of lattice structures with extreme mechanical properties

2.3 Details of the proposed LSTO method

2.2 Topology optimization of the sample lattices

2.1 Introduction

Chapter 2 A Novel Lattice Structure Topology Optimization Method with Extreme Anisotropic Lattice Properties

References

1.4 Outline of this book

1.3.3 Topology optimization considering AM constraints

1.3.2 Lattice structure topology optimization

1.3.1 Optimization design of multiscale structures

1.3 Hotspots in topology optimization for AM

1.2.4 Inverse homogenization

1.2.3 Homogenization

1.2.2 SIMP

1.2.1 Density-based method

1.2 The fundamentals of density-based and homogenization-based topology optimization

1.1 Introduction

Chapter 1 Introduction to Topology Optimization for Additive Manufacturing

前言

内容简介

版权信息

封面

封面

版权信息

内容简介

前言

Chapter 1 Introduction to Topology Optimization for Additive Manufacturing

1.1 Introduction

1.2 The fundamentals of density-based and homogenization-based topology optimization

1.2.1 Density-based method

1.2.2 SIMP

1.2.3 Homogenization

1.2.4 Inverse homogenization

1.3 Hotspots in topology optimization for AM

1.3.1 Optimization design of multiscale structures

1.3.2 Lattice structure topology optimization

1.3.3 Topology optimization considering AM constraints

1.4 Outline of this book

References

Chapter 2 A Novel Lattice Structure Topology Optimization Method with Extreme Anisotropic Lattice Properties

2.1 Introduction

2.2 Topology optimization of the sample lattices

2.3 Details of the proposed LSTO method

2.3.1 Design of lattice structures with extreme mechanical properties

2.3.2 Parameterized property modeling for the proposed candidate lattice

2.3.3 Formulation of the LSTO problem

2.3.4 Sensitivity analysis

2.3.5 Numerical implementation

2.4 Numerical examples

2.4.1 A 3D three-point bending beam

2.4.2 A 3D L-bracket structure

2.5 Mechanical test

2.6 Applications to part design

2.7 Extension to incorporate macroscopic topological changes

2.8 Discussion and conclusion

Appendix MATLAB codes for the 3D three-point bending beam case

References

Chapter 3 Multiscale Topology Optimization for Solid-lattice-void Hybrid Structures through An Ordered Multi-phase Interpolation

3.1 Introduction

3.2 Method

3.2.1 Design of extreme anisotropic lattice structures

3.2.2 Parametrized modeling for the candidate lattice

3.2.3 The ordered solid-lattice-void interpolation

3.2.4 Formulation of the optimization problem

3.2.5 Sensitive analysis

3.2.6 Optimization procedures

3.3 Numerical examples

3.3.1 L-bracket beam

3.3.2 MBB beam

3.3.3 Additive manufacturing and mechanical tests

3.3.4 A bone remodeling example

3.4 Conclusions

Appendix MATLAB reference codes for MBB beam

References

Chapter 4 Comprehensive Clustering-based Topology Optimization for Connectable Multi-scale Additive Manufacturing Structures

4.1 Introduction

4.2 Homogenization theory

4.3 Methodology

4.3.1 A LSTO method by using multi-variable lattices

4.3.2 Clustering strategy for post-processing

4.3.3 Inverse homogenization-based MTO

4.4 Numerical implementations

4.5 Numerical examples

4.5.1 Simply supported beam

4.5.2 L-bracket

4.5.3 Cantilever

4.6 Additive manufacturing and mechanical test

4.7 Extensions and discussions

4.7.1 The influence of varying initial designs for guaranteeing connectivity

4.7.2 Further clustering for the highest-density sub-domain

4.7.3 The influence of different lattice types

4.8 Conclusion

Appendix MATLAB reference codes for the simply supported beam

References

Chapter 5 Topology Optimization for Vat Photopolymerization 3D Printing of Ceramics with Flushing Jet Accessibility Constraint

5.1 Introduction

5.2 Problem formulation

5.2.1 Material model

5.2.2 Optimization problem

5.2.3 Sensitivity analysis

5.3 Numerical examples

5.3.1 2D cantilever beam

5.3.2 3D MBB beam

5.4 CSL 3D printing experiment

5.5 Engineering application: a pillow bracket part

5.6 Conclusion

Appendix MATLAB codes for 2D cantilever beam case

References

Chapter 6 Path-driven Shell Lattices Designed for Continuous Fiber Composite 3D Printing

6.1 Introduction

6.2 TPMS lattices

6.3 Path-driven shell lattice design

6.3.1 Periodic function

6.3.2 Parametric generation of path-driven shell lattices

6.4 Shape optimization

6.4.1 Mechanical property optimization

6.4.2 Surface curvature optimization

6.5 Fabrication and experimental method

6.6 Result and discussion

6.6.1 PDSLs with different parameter configurations

6.6.2 Mechanical property optimization

6.6.3 Surface curvature optimization

6.6.4 Fabrication and experimental result

6.7 Conclusion

References

Chapter 7 Stress Constrained Topology Optimization of Heterogeneous Lattice Structures

7.1 Introduction

7.2 Technical details

7.2.1 Homogenization of the composite materials

7.2.2 Ordered SIMP stress interpolation for solids

7.2.3 Failure criteria identification and ordered SIMP stress interpolation for lattices

7.3 Optimization problem formulation

7.4 Numerical experiment

7.5 Conclusion

Appendix MATLAB codes for 2D L-bracket case