Preliminary Investigation on Fractal Metallographs ——Investigation on the Fractal Characters of Grain Size
Jie Zhou
Abstract
Jie Zhou
Abstract
Fractal characters of the metallographical structures are analyzed fractal dimensions of grains in the standard photographs are measured. The relation between grain size and fractal dimension is investigated. It is indicated that metal grain can be described quantitatively by fractal dimension, and in grade 1~8, fractal dimension increases as grade does, which is distinct in grade 1~5.
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Fractal characters of the metallographical structures are analyzed fractal dimensions of grains in the standard photographs are measured. The relation between grain size and fractal dimension is investigated. It is indicated that metal grain can be described quantitatively by fractal dimension, and in grade 1~8, fractal dimension increases as grade does, which is distinct in grade 1~5.
Key concepts: Fractal dimension, Fractal, Grain size, Fractal analysis, Fractal dimension on networks, Materials science, Mathematics, Mineralogy