Application of Kolmogorov-Johnson-Mehl-Avrami equations to non-isothermal conditions

作者：Martin David^*

来源：Computational Materials Science, 2010, 47(3): 796-800.

DOI：10.1016/j.commatsci.2009.11.005

• Avrami equation
• Static recrystallization
• Non-isothermal conditions
• Mathematical modeling

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.

• 出版日期2010-1