Kinetics of Phase Change. II Transformation-Time Relations for Random Distribution of Nuclei

Journal of Chemical Physics - Tập 8 Số 2 - Trang 212-224 - 1940
Melvin Avrami1
1School of Mines, Columbia University, New York, New York

Tóm tắt

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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Tài liệu tham khảo

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1937, J. Appl. Phys., 8, 205, 10.1063/1.1710282

1934, Physik. Zeits. der Sowjetunion, 6, 537

1930, Zeits. f. Physik, 60, 464, 10.1007/BF01341256

1924, Stahl und Eisen, 44, 560

1919, Stahl und Eisen, 39, 1061

1925, Stahl und Eisen, 47, 1117

1925, Zeitschrift für Metallkunde, 17, 316

1930, Trans. A.I.M.E., 90, 117

1932, Trans. AIME, 100, 13

1930, Trans. A.I.M.E., 90, 117