›› 2018, Vol. 39 ›› Issue (5): 1573-1580.doi: 10.16285/j.rsm.2017.0763

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Fractal breakage and particle shape analysis for coral sand under high-pressure and one-dimensional creep conditions

ZHANG Xiao-yan1, 2, CAI Yan-yan2, 3, WANG Zhen-bo1, JIANG Yun-qian1   

  1. 1. School of Mechanics and Civil Engineering, China University of Mining and Technology, Beijing 100083, China; 2. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China; 3. Institute of Geotechnical Engineering, Huaqiao University, Xiamen, Fujian 361021, China)
  • Received:2017-04-21 Online:2018-05-11 Published:2018-06-12
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (51774147), the Open Research Fund of State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology (SKLGDUEK1701), the Natural Science Foundation of Fujian Province of China (2017J01094) and the Fundamental Research Funds for the Central Universities (2017QL04).

Abstract: Coral sand is a type of marine biogenic granular material with extremely high calcium content. From the microscopic viewpoint, coral sand grains are characterized as highly angular, irregular in shapes and crushable. One-dimensional creep tests were conducted on coral sand under very high pressure to investigate the evolution of particle size distribution and change of particle shapes caused by particle breakage. Benefited from particle size analysis and shape evaluation with high speed dynamic image analysis apparatus, the evolution of particle shape along with stress was analyzed statistically, and shape factors including aspect ratio, sphericity and convexity increase with increasing pressure. Shape factors for particles with different sizes tend to reach a same value, which illustrated that the morphology of particle after breakage is scale independent and self-similar in this wide range of sizes. This paper analyzed the fractal feature after particle breakage, and found that the fractal dimension increases with increasing vertical stress, and eventually reaches the fractal ultimate breakage (D=2.5). This paper calculated the relative breakage by using Hardin’s and Einav’s methods, and found that relative breakage is increasing along with increasing pressure. The relative breakage is an exponent function with the pressure, which could be used to predict the relative breakage if the material and pressure are known. The increasing tendency with time is not obvious, because particle breakage is majorly caused by compression instead of creep.

Key words: coral sand, fractal, particle shape, creep, particle breakage

CLC Number: 

  • TU 411

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