S

  1. Randall M. German Ph.D., M.S., B.S. Chair Professor Director and
  2. Seong Jin Park Ph.D. Associate Research Professor

Published Online: 7 JAN 2008

DOI: 10.1002/9780470370087.ch19

Mathematical Relations in Particulate Materials Processing: Ceramics, Powder Metals, Cermets, Carbides, Hard Materials, and Minerals

Mathematical Relations in Particulate Materials Processing: Ceramics, Powder Metals, Cermets, Carbides, Hard Materials, and Minerals

How to Cite

German, R. M. and Park, S. J. (2008) S, in Mathematical Relations in Particulate Materials Processing: Ceramics, Powder Metals, Cermets, Carbides, Hard Materials, and Minerals, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470370087.ch19

Author Information

  1. Center for Advanced Vehicular Systems at Mississippi State University, Mississippi State, USA

Publication History

  1. Published Online: 7 JAN 2008
  2. Published Print: 27 AUG 2008

ISBN Information

Print ISBN: 9780470173640

Online ISBN: 9780470370087

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Keywords:

  • secondary dendrite–arm spacing;
  • sintering metrics;
  • solubility ratio and predicting swelling versus shrinkage

Summary

This chapter contains sections titled:

  • Saddle-surface Stress—See Neck-curvature Stress

  • Scherrer Formula

  • Screen Sizes—See Sieve Progression

  • Secondary Dendrite–Arm Spacing

  • Secondary Recrystallization—See Abnormal Grain Growth

  • Second-stage Liquid-phase Sintering Model—See Intermediate-stage Liquid-phase Sintering Model

  • Second-stage Sintering Densification—See Intermediate-stage Sintering-density Model

  • Second-stage Sintering Pore Elimination—See Intermediate-stage Pore Elimination

  • Second-stage Sintering Surface-area Reduction—See Intermediate-stage Surface-area Reduction

  • Sedimentation Particle-size Analysis—See Stokes' Law Particle-size Analysis

  • Segregation Coefficient

  • Segregation of Mixed Powders—See Mixed-powder Segregation

  • Segregation to Grain Boundaries during Sintering

  • Self-propagating High-temperature Synthesis

  • Semisolid-system Viscosity—See Viscosity of Semisolid Systems

  • Shapiro Equation

  • Shear Modulus

  • Shear-rate Effect on Viscosity—See Cross Model

  • Shrinkage

  • Shrinkage Factor in Injection-molding Tool Design

  • Shrinkage-induced Densification

  • Shrinkage in Intermediate-stage Liquid-phase Sintering—See Solution-reprecipitation-induced Shrinkage in Liquid-phase Sintering

  • Shrinkage in Sintering—See Sintering Shrinkage (Generic Form)

  • Shrinkage Rate for Supersolidus Liquid-phase Sintering—See Supersolidus Liquid-phase Sintering Shrinkage Rate

  • Shrinkage Relation to Neck Size

  • Sieve Progression

  • Sintered Ductility

  • Sintered Strength

  • Sintering Atmosphere-flux Equation—See Vacuum Flux in Sintering

  • Sintering Grain Size—See Maximum Grain Size in Sintering

  • Sintering Metrics

  • Sintering Shrinkage (Generic Form)

  • Sintering Shrinkage for Mixed Powders—See Mixed-powder Sintering Shrinkage

  • Sintering Shrinkage in Supersolidus Liquid-phase Sintering—See Supersolidus Liquid-phase Sintering Shrinkage Rate

  • Sintering Stress, Bulk

  • Sintering Stress in Final-stage Sintering for Small Grains and Faceted Pores

  • Sintering Stress in Final-stage Sintering for Small Grains and Rounded Pores

  • Sintering Stress in Final-stage Sintering for Spherical Pores Inside Grains

  • Sintering Stress in Initial-stage Liquid-phase Sintering

  • Sintering Stress in Initial-stage Solid-state Sintering

  • Sintering Swelling with Mixed Powders—See Swelling Reactions during Mixed-powder Sintering.

  • Sintering Viscous Flow—See Viscosity during Sintering

  • Size Distribution—See Andreasen Size Distribution, Gaudin–Schuhman Distribution, Gaussian Distribution, Log-normal Distribution, and Rosin–Rammler Distribution

  • Slenderness

  • Slip Characterization of Powder–Binder Mixtures

  • Slip Flow in Pores

  • Slope of the Log-normal Distribution—See Log-normal Slope Parameter

  • Small Particle–Induced X-ray Line Broadening—See Scherrer Formula

  • Solidification Time

  • Solids Loading

  • Solubility Dependence on Particle Size

  • Solubility Ratio

  • Solution-reprecipitation-controlled Liquid-phase Sintering—See Dissolution-induced Densification

  • Solution-reprecipitation-induced Shrinkage in Liquid-phase Sintering

  • Solvent Debinding Time

  • Sound Velocity—See Ultrasonic Velocity

  • Spark Sintering—See Field-activated Sintering

  • Specific Surface Area

  • Spherical Pore Pressure

  • Sphericity

  • Spheroidization of Nanoscale Particles—See Nanoscale Particle-agglomerate Spheroidization

  • Spheroidization Time

  • Spouting Velocity

  • Spray Deposition

  • Spray Forming—See Spray Deposition

  • Spreading

  • Standard Deviation

  • Stiffness—See Elastic-modulus Variation with Density

  • Stokes–Einstein Equation

  • Stokes' Law

  • Stokes' Law Particle-size Analysis

  • Stokes' Particle Diameter

  • Strain Hardening

  • Strain Rate in Injection Molding—See Gate Strain Rate in Injection Molding

  • Strength—See Sintered Strength

  • Strength Distribution—See Weibull Distribution

  • Strength Evolution in Sintering—See In Situ Sintering Strength

  • Strength-evolution Model

  • Strength of Pressed Powder—See Green Strength

  • Stress Concentration at a Pore

  • Stress in Liquid-phase Sintering—See Sintering Stress in Initial-stage Liquid-phase Sintering

  • Stripping Stress—See Maximum Ejection Stress

  • Subsieve Particle Size—See Kozeny–Carman Equation

  • Superplastic Forming

  • Supersolidus Liquid-phase Sintering Liquid Distribution—See Liquid Distribution in Supersolidus Liquid-phase Sintering

  • Supersolidus Liquid-phase Sintering Shrinkage Rate

  • Surface Area–Based Particle Size—See Equivalent Spherical Diameter

  • Surface Area by Gas Absorption—See Specific Surface Area

  • Surface Area by Quantitative Microscopy

  • Surface-area Reduction during Liquid-phase Sintering

  • Surface-area for Broad Particle-size Distributions

  • Surface-area Reduction Kinetics

  • Surface Carburize—See Case Carburize

  • Surface Curvature–Driven Mass Flow in Sintering

  • Surface Diffusion–Controlled Neck Growth

  • Surface-energy Variation with Droplet Size

  • Surface-transport Sintering—See Surface Area–Reduction Kinetics

  • Suratman Number

  • Suspension Viscosity

  • Swelling—See Shrinkage and Shrinkage-induced Densification

  • Swelling Reactions during Mixed-powder Sintering