3-D Topological Relationships and Von Neuman-Type Equation

Abstract:

Based on a 3-D Von Neumann equation a general theoretical formulation has been provided in the framework of the statistical theory of grain growth to predict the microstructure evolution. By the same approach the topological relationships between number of grain faces, grain size, number of corners and edges and how these can be calculated in a real microstructure with a statistical approach are discussed. A quadratic law for the linkage between number of faces and grain size is found and together with the functional dependency of other relevant 3-D microstructure parameters good agreement with available experimental results is found .

• Periodical: Materials Science Forum (Volume 753)
• Pages: 383-388
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.753.383
• Online since: March 2013
• Authors: Giuseppe Carlo Abbruzzese
• Keywords: 3-D Von Neumann Equation, Grain Growth, GSD, Statistical Theory

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