The book treats materials processing from a theoretical and thus mathematical and quantitative point of view. The first portion draws from various fields to provide a theoretical basis upon which any materials synthesis and/or fabrication process may be completely described. In addition, the practical side of theoretical materials processing is directly addressed: the details of useful numerical simulation methods, numerous tables of material property values, details of useful mathematical manipulations that are frequently required, and helpful, detailed and easy-to-use tables of unit conversions are included. Furthermore, the book begins with a purely qualitative discussion of the key aspects of theory, to establish a sufficiently good understanding of the same aspects when they are re-introduced in their more customary mathematical, quantitative form.
Taken together, the various elements of this book provide a sound foundation for both the understanding and the use of this theoretical approach to materials processing.
Table of Contents
Preface. Acknowledgments. Part 1: Balance equations. Balance equations: an informal description. Conserved quantities for the balance equations. Balances for a single-phase material. Balances for a multiphase material. Part 2: Constitutive relationships. Constitutive relationships: near-equilibrium thermodynamics. Expressions for a single-phase material. Internal geometry and topology of multiphase materials. Expressions for the system in a multiphase material. Expressions for the solid phase in a multiphase material. Expressions for the liquid phase in a multiphase material. Expressions for the vapor phase in a multiphase material. Part 3: Practical considerations. Interlude: use of chapters 1-11. Sources of material property values. Numerical solution: some finite difference methods. Numerical solution: some finite element methods. Part 4: Implementation. Example: glass refining. Example: Fiber spinning. Example: alloy solidification. Example: microwave heating of ceramics. Example: combustion synthesis of refractory materials. Example: binder removal from shaped powder compacts. Example: Flow of a solid-liquid suspension. Postface. References. Appendices. Notation. Index.