On the Generalisation of JMAK's Theory

Paulo R. Rios; Elena Villa

doi:10.4028/www.scientific.net/MSF.753.137

Paper Titles

Kinetics of Thermal Grooving during Low Temperature Recrystallization of Pure Aluminum
p.117

Simulation of Grains Growing as Influenced by Triple Line Dragging
p.121

Disconnection Motion in Low- and High-Angle Symmetrical Tilt Grain Boundaries in HCP Metal
p.125

A New Approach to Solute Effect on Grain Boundary Migration
p.131

On the Generalisation of JMAK's Theory
p.137

Modelling the Evolution in Microchemistry and its Effects on the Softening Behavior of Cold Rolled AlFeMnSi-Alloys during Annealing
p.143

Modelling Time-Dependent Nucleation of Recrystallization in Aluminium Alloys
p.147

Modelling Dynamic Recrystallization in FCC Metals Employing Thermostatistics
p.153

Recrystallisation Characteristics of Cold Rolled Austenitic Stainless Steel during Repeated Annealing
p.157

HomeMaterials Science ForumMaterials Science Forum Vol. 753On the Generalisation of JMAK's Theory

On the Generalisation of JMAK's Theory

Abstract:

In their pioneer work Johnson-Mehl, Avrami and Kolmogorov (JMAK) developed well-known analytical expressions to describe the transformation kinetics of nucleation and growth transformations. Their work and its subsequent development has been extensively applied by Vandermeer and coworkers to recrystallisation studies. With the help of methods from Stochastic Geometry it has been possible to generalise JMAK's equations to situations well beyond their original assumptions. Although the motivation for this paper was recrystallisation the expressions derived here may be applied to nucleation and growth reactions in general.