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Fractal Crushing of Solid Particles
Yidong Wang,Chengjian Shao,Yongfu Xu 대한토목학회 2017 KSCE JOURNAL OF CIVIL ENGINEERING Vol.21 No.3
It does not have widely accepted theory to study particle crushing up to now because of the complex and irregular physical structure of the particles. Fractal theory, which employs statistical concepts in order to explain particle crushing, may provide a solution to this problem. The particle size distributions are introduced to determine the fractal dimension. The relationship among the particle size, the crushing strength, crushing energy and the probability of survival of the particles are established based on the fractal model. The theoretical results are based on the spherical particles and ideal crushing experiments under static load. A total of 500 single slag particle crushing tests are carried out for natural slag particles of 2 to 35 mm in diameter. The agreement between the experimental and the theoretical results of the slag particles seems to be satisfactory. The method introduced in this paper not only apply to slag particles, but also any other fractal particles.
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Representation of Volume Change for Bentonite in Saline Solution based on Modified Effective Stress
Xiaoyue Li,Chaoyang Li,Yongfu Xu 대한토목학회 2019 KSCE JOURNAL OF CIVIL ENGINEERING Vol.23 No.5
Bentonite is usually selected as the buffering barrier material for high-level nuclear waste repository due to its characteristics of high expansibility and low permeability, yet the swelling properties are influenced by the saline solution existing in the fissures of surrounding rocks. Quantifying the effects of saline solution concentration on the swelling property of compacted bentonite is significant for assessing the security of engineering barrier used to dispose high-level radioactive waste. In this study, the modified effective stress incorporating with osmotic suction generated from saline solution is proposed to depict the volume changes for bentonite in saline solution with different concentrations by a unique equation. The osmotic suctions are calculated with the simplified Debye-Hückel equation and the results are validated by comparing with the experimental data in other literatures. The published experimental data prove the uniform relationship between the volume change and the modified effective stress in saline solution with different concentrations. Therefore, the quantitative predictions of volume change of bentonite in saline solution with different concentrations are presented using the modified effective stress concept.
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