Science and Engineering of Casting Solidification

The 3rd edition of this popular textbook covers current topics in all areas of casting solidification. Partial differential equations and numerical analysis are used extensively throughout the text, with numerous calculation examples, to help the reader in achieving a working knowledge of computational solidification modeling. The features of this new edition include: ℓ́Ø new chapters on semi-solid℗ℓ and metal matrix composites solidification ℓ́Ø a significantly extended treatment of multiscale modeling of solidification and its applications to commercial alloys ℓ́Ø a survey of new topics such as solidification of multicomponent alloys and molecular dynamic modeling ℓ́Ø new theories, including a theory on oxide bi-films in the treatment of shrinkage problems ℓ́Ø an in-depth treatment of the theoretical aspects of the solidification of the most important commercial alloys including steel, cast iron, aluminum-silicon eutectics, and superalloys ℓ́Ø updated tables of material constants This book is based on the author's thirty years of experience with teaching, research and the industrial practice of solidification science as applied to casting processes. It is an attempt to describe solidification theory through the complex mathematical apparatus that includes partial differential equations and numerical analysis, which are required for a fundamental treatment of the problem. The mathematics, however, is restricted to the element essential to attain a working knowledge of the field. This is in line with the main goal of the book, which is to educate the reader in the fast moving area of computational modeling of solidification of casting. For the sake of completeness, a special effort has been made to introduce the reader to the latest developments in solidification theory, even if the reader has no engineering applications at this time. The text is designed to be self-contained. The author's teaching experience demonstrates that some of the students interested in solidification science are not fully proficient in partial differential equations (PDE) and/or numerical analysis. Accordingly, elements of PDE and numerical analysis, required to obtain a working knowledge of computational solidification modeling, have been introduced in the text while attempting to avoid the interruption of the fluency of the subject. Numerous modeling and calculation examples using the Excel spreadsheet as an engineering tool are provided. Front Matter....Pages i-xvi Length-Scale in Solidification Analysis....Pages 1-5 Thermodynamic Concepts—Equilibrium and Nonequilibrium During Solidification....Pages 7-27 Nucleation and Growth Kinetics—Nanoscale Solidification....Pages 29-59 Fundamentals of Transport Phenomena as Applied to Solidification Processing....Pages 61-65 Diffusive Mass Transport at the Macroscale....Pages 67-88 Diffusive Energy Transport at the Macroscale....Pages 89-117 Momentum Mass Transport at the Macroscale....Pages 119-134 Diffusive Mass Transport at the Microscale; Microsolute Redistribution and Microsegregation....Pages 135-144 Solidification of Single-Phase Alloys; Cells and Dendrites....Pages 145-196 Solidification of Two-Phase Alloys—Micro-Scale Solidification....Pages 197-250 Solidification of Multicomponent Alloys....Pages 251-262 Microshrinkage....Pages 263-281 Rapid Solidification and Amorphous Alloys....Pages 283-294 Semisolid Processing....Pages 295-303 Solidification of Metal Matrix Composites....Pages 305-341 Multiscale Modeling of Solidification....Pages 343-344 Numerical Macroscale Modeling of Solidification....Pages 345-377 Numerical Microscale Modeling of Solidification....Pages 379-434 Solidification of Some Casting Alloys of Commercial Significance....Pages 435-533 Back Matter....Pages 535-556 The 3rd edition of this popular textbook covers current topics in all areas of casting solidification. Partial differential equations and numerical analysis are used extensively throughout the text, with numerous calculation examples, to help the reader in achieving a working knowledge of computational solidification modeling. The features of this new edition include: ĺØ new chapters on semi-solid℗l and metal matrix composites solidification ĺØ a significantly extended treatment of multiscale modeling of solidification and its applications to commercial alloys ĺØ a survey of new topics such as solidification of multicomponent alloys and molecular dynamic modeling ĺØ new theories, including a theory on oxide bi-films in the treatment of shrinkage problems ĺØ an in-depth treatment of the theoretical aspects of the solidification of the most important commercial alloys including steel, cast iron, aluminum-silicon eutectics, and superalloys ĺØ updated tables of material constants