FORECASTING MODEL OF GRAIN SIZE GRADING CURVES OF COARSE-GRAINED MATERIALS BASED ON DISCARDING RATIO
CHANG Shuai1,2,XU Riqing1,2
(1. Research Center of Coastal and Urban Geotechnical Engineering,Zhejiang University,Hangzhou,Zhejiang 310058,China; 2. Key Laboratory of Soft Soils and Geoenvironmental Engineering,Ministry of Education,Zhejiang University, Hangzhou,Zhejiang 310058,China)
Abstract:To construct a forecasting model of grading curve of coarse-grained materials considering breakage,particle breakage is divided into three stages. And the new concept of discarding ratio Rk is introduced in the model-building process. By investigating the relationship of discarding ratio with confining pressure,dry density and particle size with the breakage test results of quartz sandstone,gneiss,mixture of sandstone and slate,breccias and sandy conglomerate,it is indicated that on the simplified hypothesis of geometric progressional distribution,there is a linear relationship,which has a slope turning point between Rk and σ3,for different granular materials when particle size and confining pressure vary in the ranges of 10–60 mm and 0.0–1.6 MPa,respectively. By exploring the particle breakage of well-rounded sandy conglomerate,it is found that 3-Rk relationship becomes linear globally while particle size is less than 10 mm and confining pressure ranges from 0.0 to 1.2 MPa. Considering the combined effect of confining pressure,strength of mother rock and original particle size,it is concluded that the variation of discarding ratio is unanimous for the breakage of gneiss,mixture of sandstone and slate,weak weathering quartz sandstone with the same grain group once particle size changes from 10 to 60 mm. Thus a prediction formula for estimating discarding ratio is presented,and the ranges of its parameters are given preliminarily,which makes possible the forecast of soil grain size grading curve of coarse-grained materials based on the concept of Rk.
日本土质工学会. 粗粒料的现场压实[M]. 郭熙灵,文 丹 译. 北京:中国水利水电出版社,1999:7-8.(Japanese Geotechnical Engineering Society. Coarse-grained materials field compaction[M]. Translated by GUO Xiling,WEN Dan. Beijing:China Water Power Press,1999:7-8.(in Chinese))
[2]
魏 松,朱俊高,钱七虎,等. 粗粒料颗粒破碎三轴试验研究[J].岩土工程学报,2009,31(4):533-538.(WEI Song,ZHU Jungao,QIAN Qihu,et al. Particle breakage of coarse-grained materials in triaxial tests[J].Chinese Journal of Geotechnical Engineering,2009,31(4):533-538.(in Chinese))
[3]
HARDIN C S. Crushing of soil particles[J]. Journal of Geotechnical Engineering,ASCE,1985,111(10):1 177-1 192.
[4]
石修松,程展林. 堆石料颗粒破碎的分形特性[J].岩石力学与工程学报,2010,29(增2):3 852-3 857.(SHI Xiusong,CHENG Zhanlin. Fractal behavior in crushing of rockfill material[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(Supp.2):3 852-3 857.(in Chinese))
[5]
魏 松,朱俊高. 粗粒料三轴湿化颗粒破碎试验研究[J]. 岩石力学与工程学报,2006,25(6):1 252-1 258.(WEI Song,ZHU Jungao. Study on wetting breakage of coarse-grained materials in triaxial test[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(6):1 252-1 258.(in Chinese))
[6]
SalimW,Indraratna B. A new elastoplastic constitutive model for coarse granular aggregates incorporating particle breakage[J]. Canadian Geotechnical Journal,2004,41(4):657-671.
[7]
Varadarajan A,SharmA K G,Venkatachalam K,et al.Testing and modeling two rockfill materials[J]. Journal of Geotechnicaland Geoenvironmental Engineering,ASCE,2003,129(3):206-218.
[8]
CHAVEZ C,ALONSO E E. A constitutive model for crushed granular aggregates which includes suction effects[J]. Soils and Foundations,2003,43(4):215-227.
[9]
马 刚,周 伟,常晓林,等. 考虑颗粒破碎的堆石体三维随机多面体细观数值模拟[J]. 岩石力学与工程学报,2011,30(8):1 671- 1 682.(MA Gang,ZHOU Wei,CHANG Xiaolin,et al. Mesoscopic numerical simulation of rockfill considering particle breakage by using three- dimensional stochastic polyhedrons[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(8):1 671-1 682.(in Chinese))
[10]
史旦达,周 健,贾敏才,等. 考虑颗粒破碎的砂土高应力一维压缩特性颗粒流模拟[J].岩土工程学报,2007,29(5):736-742.(SHI Danda,ZHOU Jian,JIA Mincai,et al. Numerical simulations of particle breakage property of sand under high pressure 1D compression condition by use of particle flow code[J].Chinese Journal of Geotechnical Engineering,2007,29(5):736-742.(in Chinese))
[11]
徐日庆,畅 帅,李雪刚,等. 基于裂离参量的粒状土颗粒破碎量化方法[J].岩土工程学报,2013,35(12):2 179-2 185.(XU Riqing,CHANG Shuai,LI Xuegang,et al. A quantization method for crushing of granular soil based on discarding parameters[J]. Chinese Journal of Geotechnical Engineering,2013,35(12):2 179-2 185.(in Chinese))
[12]
TAKEAKI F. A grading equation for decomposed granite soil[J]. Soils and Foundations,1990,30(1):27-34.
[13]
刘萌成,高玉峰,刘汉龙. 模拟堆石料颗粒破碎对强度变形的影响[J].岩土工程学报,2011,33(11):1 691-1 699.(LIU Mengcheng,GAO Yufeng,LIU Hanlong. Effect of particle breakage on strength and deformation of modeled rockfills[J].Chinese Journal of Geotechnical Engineering,2011,33(11):1 691-1 699.(in Chinese))
[14]
傅 华,凌 华,蔡正银. 粗颗粒土颗粒破碎影响因素试验研究[J]. 河海大学学报:自然科学版,2009,37(1):75-79.(FU Hua,LING Hua,CAI Zhengyin. Influencing factors for particle breakage of coarse grained soil[J]. Journal of Hohai University:Natural Science,2009,37(1):75-79.(in Chinese))
[15]
陈生水,韩华强,傅 华. 循环荷载下堆石料应力变形特性研究[J]. 岩土工程学报,2010,32(8):1 151-1 157.(CHEN Shengshui,HAN Huaqiang,FU Hua. Stress and deformation behaviors of rockfill under cyclic loadings[J]. Chinese Journal of Geotechnical Engineering,2010,32(8):1 151-1 157.(in Chinese))
[16]
花俊杰,周 伟,常晓林,等. 堆石体应力变形的尺寸效应研究[J]. 岩石力学与工程学报,2010,29(2):329-335.(HUA Junjie,ZHOU Wei,CHANG Xiaolin,et al. Study of scale effect on stress and deformation of rockfill[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(2):329-335.(in Chinese))
[17]
刘清秉,项 伟,BUDHU M,等. 砂土颗粒形状量化及其对力学指标的影响分析[J]. 岩土力学,2011,32(增1):190-197.(LIU Qingbing,XIANG Wei,BudhuM,et al. Study of particle shape quantification and effect on mechanical property of sand[J]. Rock and Soil Mechanics,2011,32(Supp.1):190-197.(in Chinese))
[18]
刘汉龙,秦红玉,高玉峰,等. 堆石粗粒料颗粒破碎试验研究[J]. 岩土力学,2005,26(4):562-566.(LIU Hanlong,QIN Hongyu,GAO Yufeng,et al. Experimental study on particle breakage of rockfill and coarse aggregates[J]. Rock and Soil Mechanics,2005,26(4):562-566.(in Chinese))