A critical discussion of the analytical approach to the normal grain growth of materials in a D-dimensional space with some possible extensions to other growth phenomena

Abstract

The normal grain growth of materials such as metals, ceramics or even biomembranes is reconsidered, based on the formalism obtained by Louat and improved by Mulheran and Harding. A critical discussion of the model is presented and some interesting extensions, leading to the description of the growth process in a time-dependent regime (i.e. when the so-called fractal kinetics are introduced) and/or by utilizing the fractal dimension concept, are provided. As an example of the methods applied, a general power and logarithmic law of the average radius of the domain against time has been proposed.