Scaling laws for quasi-static granular sand at critical state

被引：0
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作者：
Fei, Jianbo [1 ,2 ,3 ]
Tang, Hao [1 ,2 ,3 ]
Jie, Yuxin [4 ,5 ,6 ]
Chen, Xiangsheng [1 ,2 ,3 ]
机构：
[1] State Key Laboratory of Intelligent Geotechnics and Tunnelling, Shenzhen University, Shenzhen,518060, China
[2] Key Laboratory of Coastal Urban Resilient Infrastructures, Shenzhen University, Ministry of Education, Shenzhen,518060, China
[3] College of Civil and Transportation Engineering, Shenzhen University, Shenzhen,518060, China
[4] State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing,100084, China
[5] Key Laboratory of Hydrosphere Sciences, The Ministry of Water Resources, Tsinghua University, Beijing,100084, China
[6] Department of Hydraulic Engineering, Tsinghua University, Beijing,100084, China
来源：
Yantu Gongcheng Xuebao/Chinese Journal of Geotechnical Engineering | 2024年 / 46卷 / 09期
关键词：
The critical state theory of soils describes the correspondence between effective stress; shear strength and soil density. Numerous soil mechanics experiments have also revealed a correlation between soil strength and loading rate. Considering that the granular matter is the actual medium of natural soils; a quasi-static inertia number is proposed; i.e; Q=0[ln(I)+α; for the granular soils considering the particle volume fraction. Based on the classical triaxial test data of soils; the scaling laws of quasi-static deforming sand at the critical state from the perspective of granular physics are explored; and a simple linear relationship i.e; μ=ξQ; is found between the friction coefficient and the quasi-static particle inertia number. The newly established scaling laws can quantitatively describe the influences of the volume fraction; shear rate; confining pressure and particle size on the frictional properties of sand when reaching the critical state. In addition; to quantify the volumetric deformation laws of sand under quasi-static shear; a correlation is obtained between the particle volume fraction at the critical state and the quasi-static inertia number Q. In attempt to characterize the scaling laws of the three-dimensional stress state; a new dimensionless number (i.e; the intermediate principal stress number) is defined to reveal the influences of the intermediate principal stress on the frictional properties. Thus; the scaling laws are extended. © 2024 Chinese Society of Civil Engineering. All rights reserved;
D O I：
10.11779/CJGE20230435
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页码：1831 / 1839
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