The pinning effect of second phase particles on grain growth was simul
ated by 2-D Monte Carlo simulations. A new variable, the degree of con
tact between grain boundaries and second phase particles, was introduc
ed to predict the grain size limit in the presence of second phase par
ticles. The modified Zener pinning model containing this new variable
can be expressed as: D/r = K/Rf where D is the pinned grain size,, is
the mean size of second phase particles, K is a constant, f is the are
a fraction (or the volume fraction in 3-D) of second phase, and R is t
he degree of contact between grain boundaries and second phase particl
es. In 2-D Monte Carlo simulations of grain growth the ratio of pinned
grain size to second phase particle size was found to be proportional
to f(-0.5), but also to (Rf)(-1). The degree of contact increased dur
ing grain growth and reached a stable value when the grain structure w
as pinned. The initial location of second phase particles did not have
a significant contribution to the pinning of grain boundaries. (C) 19
97 Acta Metallurgica Inc.