Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 484-498 |
| Number of pages | 15 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 230 |
| Issue number | 3-4 |
| Publication status | Published - Sep 1 1996 |
Fingerprint
Keywords
- Growth velocity differences
- JMAK equations
- Particle anisotropy
- Transformation kinetics
ASJC Scopus subject areas
- Mathematical Physics
- Statistical and Nonlinear Physics
Cite this
Transformation kinetics in 1-D processes with continuous nucleation : Comparison of shielding and phantom effects. / Birnie, Dunbar P; Weinberg, Michael C.
In: Physica A: Statistical Mechanics and its Applications, Vol. 230, No. 3-4, 01.09.1996, p. 484-498.Research output: Contribution to journal › Article
}
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.
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
UR - http://www.scopus.com/inward/record.url?scp=0030243624&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030243624&partnerID=8YFLogxK
M3 - Article
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 -