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Summary
Summary
The only handbook of mathematical relations with a focus on particulate materials processing
The National Science Foundation estimates that over 35% of materials-related funding is now directed toward modeling. In part, this reflects the increased knowledge and the high cost of experimental work. However, currently there is no organized reference book to help the particulate materials community with sorting out various relations. This book fills that important need, providing readers with a quick-reference handbook for easy consultation.
This one-of-a-kind handbook gives readers the relevant mathematical relations needed to model behavior, generate computer simulations, analyze experiment data, and quantify physical and chemical phenomena commonly found in particulate materials processing. It goes beyond the traditional barriers of only one material class by covering the major areas in ceramics, cemented carbides, powder metallurgy, and particulate materials. In many cases, the governing equations are the same but the terms are material-specific. To rise above these differences, the authors have assembled the basic mathematics around the following topical structure:
Powder technology relations, such as those encountered in atomization, milling, powder production, powder characterization, mixing, particle packing, and powder testing
Powder processing, such as uniaxial compaction, injection molding, slurry and paste shaping techniques, polymer pyrolysis, sintering, hot isostatic pressing, and forging, with accompanying relations associated with microstructure development and microstructure coarsening
Finishing operations, such as surface treatments, heat treatments, microstructure analysis, material testing, data analysis, and structure-property relations
Handbook of Mathematical Relations in Particulate Materials Processing is suited for quick reference with stand-alone definitions, making it the perfect complement to existing resources used by academic researchers, corporate product and process developers, and various scientists, engineers, and technicians working in materials processing.
Author Notes
Randall M. German, PhD , is the CAVS Chair Professor of Mechanical Engineering and Director of the Center for Advanced Vehicular Systems at Mississippi State University. He holds an Honorary Doctorate from the Universidad Carlos III de Madrid in Spain, is a Fellow of APMI and ASM, holds the Tesla Medal, and is listed in various issues of Who's Who. His accomplishments comprise 850 published articles, twenty-three issued patents, nineteen edited proceedings, and fourteen books, including Sintering Theory and Practice (Wiley).
Seong Jin Park, PhD , is Associate Research Professor in the Center for Advanced Vehicular Systems at Mississippi State University. He is the recipient of numerous awards and honors, including Leading Scientists of the World and Outstanding Scientists Worldwide, both awarded by the International Biographical Centre in 2007. Dr. Park is the author of over 190 published articles and three books, holds four patents, and created four commercialized software programs. His areas of specialization and interest include materials processing technology, numerical technology, and physics.
Table of Contents
Partial Table of Contents |
Foreword |
About the Authors |
AAbnormal Grain Growth |
Abrasive Wear-See Friction and Wear Testing |
Acceleration of Free-settling Particles |
Activated Sintering, Early-stage Shrinkage |
Activation Energy-See Arrhenius Relation |
Adsorption-See BET Specific Surface Area |
Agglomerate Strength |
Agglomerate Force |
Agglomeration of Nanoscale Particles-See Nanoparticle Agglomeration |
Andreasen Size Distribution |
BBall Milling-See Jar Milling |
Bearing Strength |
Bell Curve-See Gaussian Distribution |
Bending-beam Viscosity |
Bending Test |
BET Equivalent Spherical-particle Diameter |
BET Specific Surface Area |
Bimodal Powder Packing |
Bimodal Powder Sintering |
Binder Burnout-See Polymer Pyrolysis |
CCantilever-beam Test-See Bending-beam Viscosity |
Capillarity |
Capillarity-induced Sintering-See Surface Curvature-Driven Mass Flow in Sintering |
Capillary Pressure during Liquid-phase Sintering-See Mean Capillary Pressure |
Capillary Rise-See Washburn Equation |
Capillary Stress-See Laplace Equation |
Case Carburization |
Casson Model |
Cemented-carbide Hardness |
Centrifugal Atomization Droplet Size |
DDarcy's Law |
Debinding-See Polymer Pyrolysis, Solvent Debinding Time, Thermal Debinding Time, Vacuum Thermal Debinding Time, and Wicking |
Debinding Master Curve-See Master Decomposition Curve |
Debinding Temperature |
Debinding Time-See Solvent Debinding Time, Thermal Debinding Time, Vacuum Thermal Debinding Time, and Wicking |
Debinding by Solvent Immersion-See Solvent Debinding Time |
Debinding Weight Loss |
Delubrication-See Polymer Pyrolysis |
Densification |
Densification in Liquid-phase Sintering-See Dissolution-induced Densification |
EEffective Pressure |
Ejection Stress-See Maximum Ejection Stress |
Elastic Behavior-See Hooke's Law |
Elastic deformation Neck-size Ratio |
Elastic-modulus Variation with Density |
Elastic-property Variation with Porosity |
Electrical-conductivity Variation with Porosity |
Electromigration Contributions to Spark Sintering |
Elongation |
Elongation Variation with Density-See Sintered Ductility |
FFeedstock Formulation |
Feedstock Viscosity-See Suspension Viscosity and Viscosity Model for Infection-molding Feedstock |
Feedstock Viscosity as a Function of Shear Rate-See Cross Model |
Feedstock Yield Strength-See Yield Strength of Particle-Polymer Feedstock |
Fiber#821 |