2012•Applied Mechanics and MaterialsOpen access

Multi-Fractal Behaviors in Grain Size Distribution of Low Silica Sinter

Yu Zhu Zhang, Qing Liu, Qing Jun Zhang, Jin Gang Liu, Wen Ling Mo, Yuanliang Li

Abstract

Multi-fractal theory is used to detect fractal behaviors embedded in grain size distribution ofsinter with low SiO2. Impacts of SiO2, basicity, and MgO on structures of sinter ore are measured quantitatively by means of fractal dimension dm, d(1) and multi-fractal strength Δd. Increase of SiO2 induces decrease of fractal dimension and multi-fractal strength. While proper levels of carbon, basicity, and MgO lead to minimum values of fractal dimension and multi-fractal strength. This kind of quantitative measurement of structures in sinter ore can help us to investigate the relation of mechanical properties and structures in a quantitative way.

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Key concepts: Fractal dimension, Fractal, Materials science, Fractal analysis, Grain size, Fractal dimension on networks, Particle-size distribution, Distribution (mathematics)