Table of Contents
Textures and Microstructures
Volume 14–18

Topological Foundation and Kinetics of Texture Controlled Grain Growth

1Centro Sviluppo Materiali, Roma, Italy
2Institut für Metallkunde und Metallphysik, RWTH Aachen, Kopernikusstr. 14, Aachen D-5100, Germany

Copyright © 1991 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In the present paper first a statistical theory of 2-dimensional grain growth for the textureless case based on first principles - the von Neumann - Mullins equation and the topological grain size - grain sides relationship - is described. Then it is shown that the latter relationship follows from two fundamental topological principles, the principles of complete and random surface covering, which are shown to be responsible also for other empirical topological 2-D and 3-D relationships (e.g. Weaire equation). Finally, textures are introduced into the topological discussion.