The Density Functions of Pore-Size and Particle-Size Distribution Established by Using Fractal Theory and their Applications

Gao Liang Tao; Qi Zhi Hu; Ming Yang Pan; Xuan Hu

doi:10.4028/www.scientific.net/AMM.170-173.148

Paper Titles

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 170-173The Density Functions of Pore-Size and...

The Density Functions of Pore-Size and Particle-Size Distribution Established by Using Fractal Theory and their Applications

Abstract:

Based on the Sierpinski carpet and Menger sponge models, the density functions of pore-size and particle-size distribution are put forward. Using the proposed density functions, expressions of soil porosity and grain mass are obtained. Using the expression of soil porosity, the porosity of soil sample is correctly predicted. The expression of grain mass is used to predict the mass of grains. The results show that the mass predictions of grains of size smaller than 0.002mm are very close to the measure results.

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Periodical:

Applied Mechanics and Materials (Volumes 170-173)

Pages:

148-152

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.170-173.148

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Online since:

May 2012

Authors:

Gao Liang Tao, Qi Zhi Hu, Ming Yang Pan, Xuan Hu

Keywords:

Density Function of Particle-Size Distribution, Density Function of Pore-Size Distribution, Fractal, Mass of Grains, Porosity

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