A two-dimensional model has been developed for the description of the
formation of austenite from lamellar pearlite in steel. The diffusion
equation is solved in a small domain representative of a regular struc
ture of lamellar pearlite. The solution is obtained using a finite ele
ment method with a deforming mesh and a remeshing procedure. The main
assumption of the model is the condition of local equilibrium at the i
nterfaces, including the curvature contribution and mechanical equilib
rium of surface tensions at the triple junction where the ferrite, aus
tenite and cementite phases meet. The velocity of the interface is ded
uced from a solute balance which involves the concentration given by t
he phase diagram modified by the Gibbs-Thomson effect. The model is us
ed to predict the dissolution rate, the shape of the interface as well
as the concentration field in austenite as a function of temperature.
Both the transient and steady-state regimes are described. The model
is first applied to a model alloy whose physical properties allow the
problem to be solved for a wide range of lamellae spacings and tempera
ture. Subsequently, the Fe-C system is examined and the numerical resu
lts are compared with experimental data From the literature. Finally,
it is shown that the steady-state growth breaks down and the transform
ation occurs with a different regime at high superheating. (C) 1998 Ac
ta Metallurgica Inc.