2001
DOI: 10.1023/a:1017974517877
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Abstract: If certain preconditions are met, the Johnson-Mehl-Avrami-Kolmogorov (JMAK) kinetic equation is exactly accurate for nucleation and growth reactions with linear growth and is, at least, a good approximation for nucleation and growth reactions with parabolic growth. These preconditions include randomly distributed product phases, isotropic growth and constant equilibrium state. Mechanisms causing deviations from these preconditions include: capillarity effect, vacancy annihilation, blocking due to anisotropic g… Show more

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Cited by 165 publications
(98 citation statements)
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References 51 publications
(123 reference statements)
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“…According to applicable transformation theory [39] n = 2½ will occur for any reaction that is dominated by steady nucleation [40], with few or no nuclei present at the start of the analysis, followed by diffusion-controlled growth [40]. In fact, this agrees very well with our χ 2 test on the frequency distribution of Mg atoms obtained from 3DAP analysis of our alloys which shows that initially, shortly after quenching, the Mg atoms are distributed nearly perfectly randomly and on roomtemperature ageing the distribution becomes clustered (Fig.…”
Section: Model For Reaction Kinetics and Hardeningmentioning
confidence: 99%
“…According to applicable transformation theory [39] n = 2½ will occur for any reaction that is dominated by steady nucleation [40], with few or no nuclei present at the start of the analysis, followed by diffusion-controlled growth [40]. In fact, this agrees very well with our χ 2 test on the frequency distribution of Mg atoms obtained from 3DAP analysis of our alloys which shows that initially, shortly after quenching, the Mg atoms are distributed nearly perfectly randomly and on roomtemperature ageing the distribution becomes clustered (Fig.…”
Section: Model For Reaction Kinetics and Hardeningmentioning
confidence: 99%
“…[11] leads to the Johnson-Mehl-Avrami-Kolmogorov (JMAK equation), if n = 2 to the Austin-Rickett equation. [36,37] The relation used between f and x e is [16,38,39] df dx e ¼ ð1 À fÞ n ½11…”
Section: Growth Modementioning
confidence: 99%
“…[36,39] Upon integration Eq. [11] becomes *Fitting the kinetics model to the experimental data upon incorporation of a ''thickening'' growth mode (additional to the ''lengthening'' growth mode) by dislocation climb did not alter the results significantly; dislocation climb is very much slower than dislocation glide.…”
Section: Growth Modementioning
confidence: 99%
“…[25,8,45], and experimentally verified for a number of precipitation reactions in heat treatable Al based alloys [46,47,48];…”
Section: Heat Treatment -Microstructure -Strength Modelmentioning
confidence: 99%
“…The transformed fraction of precipitates during ageing can be described by the Starink-Zahra (SZ) model for nucleation and growth [45][46][47][48]:…”
Section: Acknowledgementsmentioning
confidence: 99%