Derivation of Statistical Model of Grain Growth Based on 3-D Von Neumann Equation

Giuseppe Carlo Abbruzzese

doi:10.4028/www.scientific.net/MSF.715-716.427

Paper Titles

Simulation of Recrystallization and Recrystallization Textures in Aluminium Alloys
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Grain Growth Stagnation Caused by the Grain Boundary Roughening Transition
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A Hybrid Modelling Approach Applied to the Evolution of Microstructure during Plane Strain Deformation
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Modeling Recrystallization in Al Alloys: Investigation of Nucleation at Cube Bands
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The Application of In Situ 3D X-Ray Diffraction in Annealing Experiments: First Interpretation of Substructure Development in Deformed NaCl
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HomeMaterials Science ForumMaterials Science Forum Vols. 715-716Derivation of Statistical Model of Grain Growth...

Derivation of Statistical Model of Grain Growth Based on 3-D Von Neumann Equation

Abstract:

The derivation of an equivalent 3-D Von Neumann equation and the corresponding kinetics equation in terms of geometrical characteristics of a grain is shown and the formulation is provided in the framework of the statistical theory of grain growth. 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 compared with available experimental results. Inside the above description a basic formulation of the statistical theory will be derived based on simple geometrical and statistical principles without any independent assumption

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Materials Science Forum (Volumes 715-716)

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427-436

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https://doi.org/10.4028/www.scientific.net/MSF.715-716.427

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April 2012

Authors:

Giuseppe Carlo Abbruzzese

Keywords:

3-D Von Neumann Equation, Grain Growth, Statistical Theory

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