A method is proposed for modeling two- and three-dimensional particle
size distributions using the Weibull distribution function. Experiment
al results show that, for tungsten particles in liquid phase sintered
W-14Ni-6Fe, the experimental cumulative section size distributions wer
e well fit by the Weibull probability function, which can also be used
to compute the corresponding relative frequency distributions. Modeli
ng the two-dimensional section size distributions facilitates the use
of the Saltykov or other methods for unfolding three-dimensional (3-D)
size distributions with minimal irregularities. Fitting the unfolded
cumulative 3-D particle size distribution with the Weibull function en
ables computation of the statistical distribution parameters from the
parameters of the fit Weibull function.