Scaling laws for quasi-static granular sand at critical state

被引：0
|
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
[2] Key Laboratory of Coastal Urban Resilient Infrastructures, Shenzhen University, Ministry of Education, Shenzhen
[3] College of Civil and Transportation Engineering, Shenzhen University, Shenzhen
[4] State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing
[5] Key Laboratory of Hydrosphere Sciences, The Ministry of Water Resources, Tsinghua University, Beijing
[6] Department of Hydraulic Engineering, Tsinghua University, Beijing
来源：
Yantu Gongcheng Xuebao/Chinese Journal of Geotechnical Engineering | 2024年 / 46卷 / 09期
关键词：
Cambridge model; critical state; granular material; sand; scaling law;
D O I：
10.11779/CJGE20230435
中图分类号：
学科分类号：
摘要：
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=ϕ0[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 ϕ 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.
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页码：1831 / 1839
页数：8
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