The Applicability of Herring’s Scaling Law to the Sintering of Powders

  • H. Song
  • R. L. Coble
  • R. J. Brook


Herring’s scaling law(1) considers the particle size dependence of microstructural change, and notably of sintering during the processing of power compacts. On the basis that the driving force, transport path length, transport area and the volume to be transported are proportional to R-1, R, R2, and R3, respectively, where R is the particle size, the times for equivalent geometric change among particles of different sizes can be formulated as:
$$ \frac{{\Delta {t_2}}}{{\Delta {t_1}}} = {\left( {\frac{{{R_{2,0}}}}{{{R_{1,0}}}}} \right)^m} $$
where subscripts 1 and 2 represent two different powders of initial particle size R1,0 and R2,0, respectively, and m is an integer. When particle size ratio is maintained throughout the sintering process, the integer m corresponds to a certain transport mechanism (i.e., m = 1: viscous flow; m = 2: evaporation and condensation; m = 3: volume diffusion; m = 4: surface diffusion or grain boundary diffusion).


Interface Reaction Microstructural Change Volume Diffusion Sinter Time Sintered Compact 
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Copyright information

© Plenum Press, New York 1984

Authors and Affiliations

  • H. Song
    • 1
  • R. L. Coble
    • 1
  • R. J. Brook
    • 2
  1. 1.Department of Materials Science and EngineeringMassachusetts Institute of TechnologyCambridgeUSA
  2. 2.Department of CeramicsUniversity of LeedsLeedsEngland

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