The purpose of this article is to develop a mathematical model that de
scribes photocure and photopolymerization kinetics. This model is neit
her wholly phenomenological nor mechanistic, but contains elements of
both. We draw an analogy between the classical Avrami approach for fir
st-order phase transformations and the kinetic phenomena that occur du
ring photocuring, and take into account cure inhibition due to a decre
ase in mobility of the constituents. The result is an explicit algebra
ic two-parameter expression for the extent of cure versus time. More i
mportantly, the two parameters have physical significance, and to some
extent can be predicted a priori. The model is compared to three sets
of unrelated data, and excellent agreement is obtained, except for pa
rt of the data at the onset of the reactions. Physical insight obtaine
d by comparing our theory with experiments supports the existence of p
referred sites for initiating the reaction, and indicates that irradia
tion is the rate-limiting step in the overall cure process in the limi
t of small irradiation intensities. (C) 1998 John Wiley & Sons, Inc.