Microstructure Sensitive Design for Performance Optimization

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 levelAuthors' 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 propertiesNumerous illustrations and examples throughout the text help readers grasp the concepts

Chapter 1. Introduction

Chapter 2. Tensors and Rotations

Chapter 3. Generalized Fourier Series

Chapter 4. Description of the Microstructure

Chapter 5. Symmetry in Microstructure Representation

Chapter 6. Continuum Theories

Chapter 7. Homogenization Theories

Chapter 8. The Microstructure Hull

Chapter 9. The Property Closure

Chapter 10. A Design Process

Chapter 11. Higher Order Microstructure Representation

Chapter 12. Stereology

Chapter 13. Higher Order Homogenization

Chapter 14. The 2nd-Order Property Closure and Design Optimization

Chapter 15. Microstructure Evolution by Processing

Appendix A. Symmetry Point Operators

Appendix B. Spherical Harmonic Functions and Tables

Appendix C. Orientation Imaging Microscopy

Bibliography

Notation

Index