stochastic geometry based model for total triple phase boundary length in omposite cathodes for solid oxide fuel cells

An analytical equation is derived for total triple phase boundary length per unit volume (LTPB) in an isotropic uniform random microstructure of LSM/YSZ composite cathode. The equation is applicable to YSZ and LSM particles of any convex shapes and size distributions. The equation explicitly relates LTPB to the shapes, mean sizes, coefficient of variation (a measure of the spread in a size distribution) and skewness of YSZ and LSM particle populations, and volume fractions of YSZ, LSM, and porosity. The equation is verified using available experimental data, and compared with the results of earlier simulations and riple phase boundary length