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Kinetics of Phase Change. II Transformation-Time Relations for Random Distribution of Nuclei
Abstract
Following upon the general theory in Part I, a considerable simplification is here introduced in the treatment of the case where the grain centers of the new phase are randomly distributed. Also, the kinetics of the main types of crystalline growth, such as result in polyhedral, plate-like and lineal grains, are studied. A relation between the actual transformed volume V and a related extended volume V1 ex is derived upon statistical considerations. A rough approximation to this relation is shown to lead, under the proper conditions, to the empirical formula of Austin and Rickett. The exact relation is used to reduce the entire problem to the determination of V1 ex, in terms of which all other quantities are expressed. The approximate treatment of the beginning of transformation in the isokinetic range is shown to lead to the empirical formula of Krainer and to account quantitatively for certain relations observed in recrystallization phenomena. It is shown that the predicted shapes for isothermal transformation-time curves correspond well with the experimental data.
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Cited by
A review of dynamic recrystallization phenomena in metallic materials
Huang, K., & Logé, R. E. (2016) · Materials & Design · doi:10.1016/j.matdes.2016.09.012 · Cited by 2,404
Study of the kinetics of the mechanism of solid-state reactions at increasing temperatures
Šesták, J., & Berggren, G. (1971) · Thermochimica Acta · doi:10.1016/0040-6031(71)85051-7 · Cited by 1,521
The roles of amylose and amylopectin in the gelation and retrogradation of starch
Miles, M. J., Morris, V. J., Orford, P. D., & Ring, S. G. (1985) · Carbohydrate Research · doi:10.1016/s0008-6215(00)90778-x · Cited by 1,202
Confined crystallization of polymeric materials
Michell, R. M., & Müller, A. J. (2016) · Progress in Polymer Science · doi:10.1016/j.progpolymsci.2015.10.007 · Cited by 351
Metal–organic framework gels and monoliths
Hou, J., Sapnik, A. F., & Bennett, T. D. (2020) · Chemical Science · doi:10.1039/c9sc04961d · Cited by 331
Metadata
- Authors
- Avrami, M.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1940-02-01
- Volume
- 8
- Issue
- 2
- Pages
- 212-224
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2056320034
- Cited by
- 8,714
- References
- 0
- FWCI
- 1.07
- Type
- journal article
- Language
- en
- Open access
- closed
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- Avrami, M. (1940). Kinetics of Phase Change. II Transformation-Time Relations for Random Distribution of Nuclei. The Journal of Chemical Physics. https://doi.org/10.1063/1.1750631
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