We present a numerical algorithm for simulating the Jominy end{quench test
and deriving continuous cooling diagrams. The underlying mathematical model for
the austenite{pearlite phase transition is based on Scheil's Additivity Rule and the
Johnson{Mehl equation. For the formation of martensite we compare the Koistinen{
Marburger formula with a rate law, which takes into account the irreversibility of
this process.
We carry out numerical simulations for the plain carbon steels C 1080 and C 100
W1. The results suggest that the austenite{pearlite phase change may be described
decently by the Additivity Rule, except for the incubation time.
On the other hand, using a rate law to describe the martensite formation is
preferable to the Koistinen{Marburger formula, which leads to unphysical oscilla-
tions of the cooling curves in simulated CCT{diagrams.