TRANSFORMATION KINETICS IN 1-D PROCESSES WITH CONTINUOUS NUCLEATION -COMPARISON OF SHIELDING AND PHANTOM EFFECTS

A derivation is presented for the fraction of material transformed as a function of time, X(t), for 1-D transformations which occur via cont inuous nucleation and growth of particles with a distribution of growt h velocities. The derivation includes the effects of interparticle shi elding as well as shadowed nucleation prevention (''phantoms''). The a nalytical results are compared with simulations and found to be in clo se agreement. The shielding effects are more dominant than the phantom effects, though both are important when exact information regarding t he extent of transformation is desired.