Cover image for Mathematical relations in particulate materials processing : ceramics, powder metals, cermets, carbides, hard materials, and minerals
Title:
Mathematical relations in particulate materials processing : ceramics, powder metals, cermets, carbides, hard materials, and minerals
Personal Author:
Publication Information:
Hoboken, NJ : John Wiley & Sons, Inc., 2008
Physical Description:
xxxi, 419 p. : ill. ; 25 cm.
ISBN:
9780470173640
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30000010191533 TN695 G46 2008 Open Access Book Book
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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
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