Fractal Analysis of Sectional Shape Irregularity of Small Aggregates Combined with Kaye's Method.

Sakai, Tatsuo; Fujikawa, Masashi

doi:10.1299/kikaia.64.2271

Cited by 2 publications

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“…In previous studies [16][17][18], quantitative analysis of the sectional shape irregularity of ceramic particles and graphite inside the cast iron was carried out by applying a fractal concept and the Richardson effect. The wide applicability of the method was confirmed to the sectional shape irregularity, but it could not be applied directly to the three-dimensional shape irregularity.…”

Section: Introductionmentioning

confidence: 99%

Application of Fractal Analysis to Quantitative Evaluation of Three-dimensional Shape Irregularity of Concrete Aggregates

Fujikawa

Sakai

Aoki³

2003

Journal of the Society of Materials Science, Japan

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Artificial aggregates made from the natural rocks are usually used as the concrete material, since the natural aggregates along the rivers cannot be used due to the strict restriction to maintain the human society. The shape of these aggregates distinctly varies depending on the step of the producing processes such as blasting, crushing and screening.In this study, a quantitative analysis for the shape irregularity of such aggregates was attempted by applying the concept of fractal proposed by B. B. Mandelbrot. The Richardson effect was clearly confirmed between the total surface S and the measuring unit length e. This fact indicates that the shape irregularity of the aggregates has the fractal aspect and the present method is applicable to the shape irregularity analysis.Thus it was finally found that the shape irregularity of the aggregates was successfully evaluated by combining the fractal dimension D and the body-shape irregularity index D*.

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Section: Introductionmentioning

confidence: 99%

Application of Fractal Analysis to Quantitative Evaluation of Three-dimensional Shape Irregularity of Concrete Aggregates

Fujikawa

Sakai

Aoki³

2003

Journal of the Society of Materials Science, Japan

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“…A concept of fractal proposed by B. B. Mandelbrot [1] is useful to quantify the above irregularity and this has been successfully applied to various fields in both science and technology [2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

305 Fractal and Fracture Mechanics Analyses on Fatigue Fracture Surfaces for Metallic Materials

Sakai

Ueno³

2000

The Proceedings of Conference of Kansai Branch

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In this study, fatigue crack propagation tests were carried out to obtain the fatigue fracture surfaces on compact tension type specimens of A5052 aluminum alloy and S25C carbon steel, and the fatigue fracture surfaces were observed by means of a scanning laser microscope system. Based on the digital data thus obtained, imaginary fracture surface was reconstructed in a 3-dimensional space by a personal computer. Fractal analysis proposed by B. B. Mandelbrot was applied to such 3-dimensional surfaces and a hyperbola model was accepted to represent the Richardson effect. Due to the Richardson effect thus analysed, the fractal feature was confirmed in the fracture surface irregularity. It was finally found that the geometrical irregularity of the surface was well evaluated by combining the fractal dimension and additional indices termed as "index of fracture surface nature", and that the fractal dimension and the additional indices were successfully connected to the stress intensity factor range of ΔK.

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Fractal Analysis of Sectional Shape Irregularity of Small Aggregates Combined with Kaye's Method.

Cited by 2 publications

References 0 publications

Application of Fractal Analysis to Quantitative Evaluation of Three-dimensional Shape Irregularity of Concrete Aggregates

Application of Fractal Analysis to Quantitative Evaluation of Three-dimensional Shape Irregularity of Concrete Aggregates

305 Fractal and Fracture Mechanics Analyses on Fatigue Fracture Surfaces for Metallic Materials

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