Real and Extended Volumes in Simultaneous Transformations

T. Kasuya, K. Ichikawa, M. Fuji and H. K. D. H. Bhadeshia


The relationship between real and extended volumes is expanded to an indefinite number of simultaneous transformation processes. The assumption used in this study is that the growth and nucleation of each product phase occurs randomly throughout the transforming region. The real volume of each phase is given in the form of integrals, using the relevant extended volume. Once the extended volumes of different product phases are related, the real volume of each product phase can be analytically or numerically calculated, and analytical solutions exist for cases where the extended volume are related linearly or parbolically.

Materials Science and Technology, Vol.15 (1999) 471-473.

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