Use of Kolmogorov-Johnson-Mehl-Avrami kinetics in recrystallization of metals and crystallization of metallic glasses

Price, C.W.

doi:10.1016/0956-7151(90)90024-b

Cited by 93 publications

(37 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…9 However, a considerable variation in Avrami exponent n defined by log (− ln(1 − f )) = n log (t + t 0 ) + constant (19) was observed from the electrical resistivity and differential scanning calorimetry (DSC) data.…”

Section: Discussionmentioning

confidence: 99%

“…9,31 In some alloys, the KJMA plot shows an inflection in which the exponent n changes markedly from a large value at an early stage to a small value at a later stage. However, our simulation data shown in Fig.…”

Section: Discussionmentioning

confidence: 99%

“…(9). Using Chan's formula, the interfacial velocity v of our TDGL model (1), (2) with the free energy (9) is given by…”

Section: Two-dimensional Growth Of Single Domainmentioning

confidence: 99%

“…[3][4][5] According to this theory, the time evolution of the volume fraction of a new transformed phase follows the linear KJMA plot with the integral Avrami exponent n that is given by the slope. However, it is recognized that this theory often fails to explain experimental results; 9,10 neither the KJMA plot becomes linear nor the Avrami exponent becomes an integer. There is also some debate about the validity of the assumption used in the theory.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Cell Dynamics Simulation of Kolmogorov–Johnson–Mehl–Avrami Kinetics of Phase Transformation

Iwamatsu

Nakamura

2005

Jpn. J. Appl. Phys.

View full text Add to dashboard Cite

In this study, we use the cell dynamics method to test the validity of the Kormogorov-JohnsonMehl-Avrami (KJMA) theory of phase transformation. This cell dynamics method is similar to the well-known phase-field model, but it is a more simple and efficient numerical method for studying various scenarios of phase transformation in a unified manner. We find that the cell dynamics method reproduces the time evolution of the volume fraction of the transformed phase predicted by the KJMA theory. Specifically, the cell dynamics simulation reproduces a double-logarithmic linear KJMA plot and confirms the integral Avrami exponents n predicted from the KJMA theory. Our study clearly demonstrates that the cell dynamics approach is not only useful for studying the pattern formation but also for simulating the most basic properties of phase transformation.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

“…(9). Using Chan's formula, the interfacial velocity v of our TDGL model (1), (2) with the free energy (9) is given by…”

Section: Two-dimensional Growth Of Single Domainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Cell Dynamics Simulation of Kolmogorov–Johnson–Mehl–Avrami Kinetics of Phase Transformation

Iwamatsu

Nakamura

2005

Jpn. J. Appl. Phys.

View full text Add to dashboard Cite

show abstract

“…Experimentally [4,5], the dynamics of phase transformation has been believed to follow the classical KolmogorovJohnson-Mehl-Avrami (KJMA) picture of nucleation and growth [1, 6,7,8]. According to their picture, the phase transformation proceeds via the nucleation and subsequent growth of nuclei by the interface-limited growth.…”

Section: Introductionmentioning

confidence: 99%

Direct numerical simulation of homogeneous nucleation and growth in a phase-field model using cell dynamics method

Iwamatsu

2008

The Journal of Chemical Physics

View full text Add to dashboard Cite

Homogeneous nucleation and growth in a simplest two-dimensional phase field model is numerically studied using the cell dynamics method. Whole process from nucleation to growth is simulated and is shown to follow closely the Kolmogorov-Johnson-Mehl-Avrami (KJMA) scenario of phase transformation. Specifically the time evolution of the volume fraction of new stable phase is found to follow closely the KJMA formula. By fitting the KJMA formula directly to the simulation data, not only the Avrami exponent but the magnitude of nucleation rate and, in particular, of incubation time are quantitatively studied. The modified Avrami plot is also used to verify the derived KJMA parameters. It is found that the Avrami exponent is close to the ideal theoretical value m = 3. The temperature dependence of nucleation rate follows the activation-type behavior expected from the classical nucleation theory. On the other hand, the temperature dependence of incubation time does not follow the exponential activation-type behavior. Rather the incubation time is inversely proportional to the temperature predicted from the theory of Shneidman and Weinberg [J. Non-Cryst. Solids 160, 89 (1993)]. A need to restrict thermal noise in simulation to deduce correct Avrami exponent is also discussed.

show abstract

Cryogenic grinding of indomethacin polymorphs and solvates: Assessment of amorphous phase formation and amorphous phase physical stability

Crowley

Zografi

2002

Journal of Pharmaceutical Sciences

272

217

View full text Add to dashboard Cite

Use of Kolmogorov-Johnson-Mehl-Avrami kinetics in recrystallization of metals and crystallization of metallic glasses

Cited by 93 publications

References 37 publications

Cell Dynamics Simulation of Kolmogorov–Johnson–Mehl–Avrami Kinetics of Phase Transformation

Cell Dynamics Simulation of Kolmogorov–Johnson–Mehl–Avrami Kinetics of Phase Transformation

Direct numerical simulation of homogeneous nucleation and growth in a phase-field model using cell dynamics method

Cryogenic grinding of indomethacin polymorphs and solvates: Assessment of amorphous phase formation and amorphous phase physical stability

Contact Info

Product

Resources

About