Grain growth theories normally describe a grain using the concept of ‘grain radius’. However, this assumption bypasses all topological information relating to the grain, viz., the number of its faces, edges, etc. This study, by contrast, introduces a new methodology, treating normal and abnormal grain growth in three dimensions in terms of both metrical and topological properties of the grains.
microstructure; grain growth; abnormal grain growth; polycrystals; soap bubbles
