TRANSFORMATION KINETICS IN ONE-DIMENSIONAL PROCESSES WITH CONTINUOUS NUCLEATION - THE EFFECT OF SHIELDING

A derivation is presented for the fraction of material transformed as a function of time, X(t), for one-dimensional phase transformations wh ich occur via continuous nucleation and growth and which produce aniso tropic particles. This derivation, which accounts for shielding effect s and does not assume site saturation, is the first such derivation gi ven for this type of problem. The analytical formulas which are found are evaluated in an approximate fashion for two different values of gr owth rate anisotropy. The results are compared with numerical simulati ons, and it is shown that the expressions derived are highly accurate. (C) 1996 American Institute of Physics.