Three Levels Friction Coefficient of Cracks and Its Influencing Factors—Taking the Sandstone (Particle Packing Layers) as an Example

GUAN Cheng-yao; QI Jia-fu; QIU Nan-sheng; ZHAO Guo-chun; LI Chun-lei; YANG Qiao; BAI Xiang-dong

doi:10.3879/j.issn.1000-0887.2013.02.011

Volume 34 Issue 2

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Article Navigation > Applied Mathematics and Mechanics > 2013 > 34(2): 209-216

GUAN Cheng-yao, QI Jia-fu, QIU Nan-sheng, ZHAO Guo-chun, LI Chun-lei, YANG Qiao, BAI Xiang-dong. Three Levels Friction Coefficient of Cracks and Its Influencing Factors—Taking the Sandstone (Particle Packing Layers) as an Example[J]. Applied Mathematics and Mechanics, 2013, 34(2): 209-216. doi: 10.3879/j.issn.1000-0887.2013.02.011

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Three Levels Friction Coefficient of Cracks and Its Influencing Factors—Taking the Sandstone (Particle Packing Layers) as an Example

doi: 10.3879/j.issn.1000-0887.2013.02.011

¹State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, P.R.China;²College of Geosciences and Resources, China University of Geosciences, Beijing 100083, P.R.China;³Department of AsiaPacific E & P, Research Institute of Petroleum Exploration & Development, Beijing 100083, P.R.China;⁴Institute of Disaster Prevention Science and Technology, Sanhe, Hebei 065201, P.R.China

Received Date: 2012-11-06
Rev Recd Date: 2013-01-10
Publish Date: 2013-02-15

Abstract

Abstract

To build a friction factors model of friction surface and dividing the friction factors into three levels, there were respectively the friction coefficient of surfaces of sand particles, average friction coefficient of asperities inclined plane, rocks surfaces (or macroscopic crack). The coupling of three levels the friction factors was the key determinants of the practical friction coefficient. The friction coefficient of rocks was from the friction factors of surfaces of sand particles and was amplified by the later two levels. And the selfsimilar series asperities themselves can amplify friction coefficients many times. The average angle of asperities inclined plane or fractal dimension is the key influencing factors and the key reason of the differentiation. The influencing factors of arrangements of particles are smaller relatively. The static friction coefficient is bigger than coefficient of the sliding friction caused by the average contact angle.
- sandstone,
- sand particles,
- friction factor,
- levels,
- series asperities,
- amplifying action

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References(24)

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