Journal
COMPUTATIONAL MATERIALS SCIENCE
Volume 47, Issue 3, Pages 796-800Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.commatsci.2009.11.005
Keywords
Avrami equation; Static recrystallization; Non-isothermal conditions; Mathematical modeling
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A temperature domain form of the standard Kolmogorov-Johnson-Mehl-Avrami (KJMA) equation is presented which can be used simulate phenomena such as phase transformation and recrystallization kinetics under non-isothermal conditions. This form of the KJMA equation relies on a parameterized temperature-time history based on either a quadratic polynomial or shape preserving quadratic spline, and can be solved using a Gauss-Legendre quadrature scheme with low computational cost and algorithmic complexity. Sample calculations are included for the case of non-isothermal static recrystallization in a hot deformed C-Nb steel, and comparison is made with results obtained by conventional time domain schemes. (C) 2009 Elsevier B.V. All rights reserved.
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