The accelerating rate at which new materials are appearing, and transforming the engineering world, only serves to emphasize the vast potential for novel material structure and related performance. Microstructure Sensitive Design for Performance Optimization (MSDPO) embodies a new methodology for systematic design of material microstructure to meet the requirements of design in optimal ways. Intended for materials engineers and researchers in industry, government and academia as well as upper level undergraduate and graduate students studying material science and engineering, MSDPO provides a novel mathematical framework that facilitates a rigorous consideration of the material microstructure as a continuous design variable in the field of engineering design.
Presents new methods and techniques for analysis and optimum design of materials at the microstructure level.
Authors' methodology introduces spectral approaches not available in previous texts, such as the incorporation of crystallographic orientation as a variable in the design of engineered components with targeted elastic properties.
Numerous illustrations and examples throughout the text help readers grasp the concepts.
1. Chapter 1. Introduction 2. Chapter 2. Tensors and Rotations 3. Chapter 3. Spectral Representation: Generalized Fourier Series 4. Chapter 4. Description of the Microstructure 5. Chapter 5. Spectral Representation of Microstructure 6. Chapter 6. Symmetry in Microstructure Representation 7. Chapter 7. Structure–Property Relations: Continuum Mechanics 8. Chapter 8. Homogenization Theories 9. Chapter 9. Microstructure Hull and Closures 10. Chapter 10. Design for Performance Optimization 11. Chapter 11. Microstructure Evolution by Processing 12. Chapter 12. Higher-Order Microstructure Representation 13. Chapter 13. Higher-Order Homogenization 14. Chapter 14. Second-Order Hull, Property Closure, and Design 15. Chapter 15. Higher-Order Models of Deformation Processing 16. Chapter 16. Electron Backscatter Diffraction Microscopy and Basic Stereology 17. Appendix 1: Symmetry Point Operators 18. Appendix 2: Tables of Spherical Harmonic Functions 19. References 20. Index
The accelerating rate at which new materials are appearing, and transforming the engineering world, only serves to emphasize the vast potential for novel material structure and related performance. Microstructure Sensitive Design for Performance Optimization (MSDPO) embodies a new methodology for systematic design of material microstructure to meet the requirements of design in optimal ways. Intended for materials engineers and researchers in industry, government and academia as well as upper level undergraduate and graduate students studying material science and engineering, MSDPO provides a novel mathematical framework that facilitates a rigorous consideration of the material microstructure as a continuous design variable in the field of engineering design.
Presents new methods and techniques for analysis and optimum design of materials at the microstructure level.
Authors' methodology introduces spectral approaches not available in previous texts, such as the incorporation of crystallographic orientation as a variable in the design of engineered components with targeted elastic properties.
Numerous illustrations and examples throughout the text help readers grasp the concepts.
1. Chapter 1. Introduction 2. Chapter 2. Tensors and Rotations 3. Chapter 3. Spectral Representation: Generalized Fourier Series 4. Chapter 4. Description of the Microstructure 5. Chapter 5. Spectral Representation of Microstructure 6. Chapter 6. Symmetry in Microstructure Representation 7. Chapter 7. Structure–Property Relations: Continuum Mechanics 8. Chapter 8. Homogenization Theories 9. Chapter 9. Microstructure Hull and Closures 10. Chapter 10. Design for Performance Optimization 11. Chapter 11. Microstructure Evolution by Processing 12. Chapter 12. Higher-Order Microstructure Representation 13. Chapter 13. Higher-Order Homogenization 14. Chapter 14. Second-Order Hull, Property Closure, and Design 15. Chapter 15. Higher-Order Models of Deformation Processing 16. Chapter 16. Electron Backscatter Diffraction Microscopy and Basic Stereology 17. Appendix 1: Symmetry Point Operators 18. Appendix 2: Tables of Spherical Harmonic Functions 19. References 20. Index
