TY - JOUR
T1 - Transformation kinetics in 1-D processes with continuous nucleation
T2 - Comparison of shielding and phantom effects
AU - Birnie, Dunbar P.
AU - Weinberg, Michael C.
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 1996/9/1
Y1 - 1996/9/1
N2 - A derivation is presented for the fraction of material transformed as a function of time, X(t), for 1-D transformations which occur via continuous nucleation and growth of particles with a distribution of growth velocities. The derivation includes the effects of interparticle shielding as well as shadowed nucleation prevention ("phantoms"). The analytical results are compared with simulations and found to be in close agreement. The shielding effects are more dominant than the phantom effects, though both are important when exact information regarding the extent of transformation is desired.
AB - A derivation is presented for the fraction of material transformed as a function of time, X(t), for 1-D transformations which occur via continuous nucleation and growth of particles with a distribution of growth velocities. The derivation includes the effects of interparticle shielding as well as shadowed nucleation prevention ("phantoms"). The analytical results are compared with simulations and found to be in close agreement. The shielding effects are more dominant than the phantom effects, though both are important when exact information regarding the extent of transformation is desired.
KW - Growth velocity differences
KW - JMAK equations
KW - Particle anisotropy
KW - Transformation kinetics
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U2 - 10.1016/0378-4371(96)00124-0
DO - 10.1016/0378-4371(96)00124-0
M3 - Article
AN - SCOPUS:0030243624
VL - 230
SP - 484
EP - 498
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
SN - 0378-4371
IS - 3-4
ER -