Gradation evolution model based on particle breakage characteristics for rockfill materials
ZHAO Fei-xiang1, 2, CHI Shi-chun1, 2, MI Xiao-fei1, 2
1. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China; 2. Institute of Earthquake Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China
Abstract：Particle crushing will change the density and gradation curves of geotechnical materials, and then influence their stress-strain behavior. The proposed gradation evolution model, based on the particle breakage characteristics of natural rocks, is to obtain the information of particle breakage and gradation which is difficult to be dealt with by normal technical means during loading process. The stress parameter of the model adopts the incremental loading method, so the model can predict the evolution of gradation during experimental process. The particle breakage characteristics and model parameters are determined through the crushing tests on a single particle. The experimental data obtained from the tests show that the particle strength obeys the Weibull distribution. In addition, the grain-size distributions after crushing tests are normally distributed, and the distributions of different groups are similar. Finally, the proposed model is proved to be able to predict the gradation variation of rockfill materials correctly through comparative analysis of the calculated results and triaxial test data.
赵飞翔, 迟世春, 米晓飞. 基于颗粒破碎特性的堆石材料级配演化模型[J]. 岩土工程学报, 2019, 41(9): 1707-1714.
ZHAO Fei-xiang, CHI Shi-chun, MI Xiao-fei. Gradation evolution model based on particle breakage characteristics for rockfill materials. Chinese J. Geot. Eng., 2019, 41(9): 1707-1714.
[1] 周成, 陈生水, 何建村, 等. 考虑土石料颗粒破碎和密度变化的次塑性本构模型建模方法[J]. 岩土力学, 2013, 34(2): 18-21. (ZHOU Cheng, CHEN Sheng-shui, HE Jian-cun, et al.Development of a hypo-plastic model for earth-rock dams considering rock crushing and density changing[J]. Rock and Soil Mechanics, 2013, 34(2): 18-21. (in Chinese)) [2] 贾宇峰, 王丙申, 迟世春. 堆石料剪切过程中的颗粒破碎研究[J]. 岩土工程学报, 2015, 37(9): 1692-1697. (JIA Yu-feng, WANG Bing-shen, CHI Shi-chun.Particle breakage of rockfill during triaxial tests[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(9): 1692-1697. (in Chinese)) [3] 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 Han-long, QIN Hong-yu, GAO Yu-feng, et al.Experimental study on particle breakage of rockfill and coarse aggregates[J]. Rock and Soil Mechanics, 2005, 26(4): 562-566. (in Chinese)) [4] INDRARATNA B, SUN Q D, NIMBALKAR S.Observed and predicted behavior of rail ballast under monotonic loading capturing particle breakage[J]. Canadian Geotechnical Journal, 2015, 52(1): 73-86. [5] 刘恩龙, 覃燕林, 陈生水, 等. 堆石料的临界状态探讨[J]. 水利学报, 2012, 43(5): 505-511. (LIU En-long, TAN Yan-lin, CHEN Sheng-shui, et al.Investigation on critical state of rockfill materials[J]. Journal of Hydraulic Engineering, 2012, 43(5): 505-511. (in Chinese)) [6] UENG T S, CHEN T J.Energy aspects of particle breakage in drained shear of sands[J]. Géotechnique, 2000, 50(1): 65-72. [7] MCDOWELL G R, BOLTON M D.On the micromechanics of crushable aggregates[J]. Géotechnique, 1998, 48(5): 667-679. [8] OZKAN G, ORTOLEVA P J.Evolution of the gouge particle size distribution: a Markov model[J]. Pure and Applied Geophysics, 2000, 157(3): 449-468. [9] 童晨曦, 张升, 李希, 等. 基于Markov链的岩土材料颗粒破碎演化规律研究[J]. 岩土工程学报, 2015, 37(5): 870-877. (TONG Chen-xi, ZHANG Sheng, LI Xi, et al.Evolution of geotechnical materials based on Markov chain considering particle crushing[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(5): 870-877. (in Chinese)) [10] SUN Y F, XIAO Y, JU W.Bounding surface model for ballast with additional attention on the evolution of particle size distribution[J]. Science China (Technological Sciences), 2014, 57(7): 1352-1360. [11] 迟世春, 王峰, 贾宇峰, 等. 考虑细观单粒强度的堆石料破碎特性研究[J]. 岩土工程学报, 2015, 37(10): 1780-1785. (CHI Shi-chun, WANG Feng, JIA Yu-feng, et al.Modeling particle breakage of rockfill materials based on single particle strength[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(10): 1780-1785. (in Chinese)) [12] LOBO-GUERRERO S, VALLEJO L E.Application of Weibull statistics to the tensile strength of rock aggregates[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2006, 132(6): 786-790. [13] NAKATA Y, HYDE A F L, HYODO M, et al. A probabilistic approach to sand particle crushing in the triaxial test[J]. Géotechnique, 1999, 49(5): 567-583. [14] 梁军, 刘汉龙, 高玉峰. 堆石蠕变机理分析与颗粒破碎特性研究[J]. 岩土力学, 2003, 24(3): 479-483. (LIANG Jun, LIU Han-long, GAO Yu-fong.Creep mechanism and breakage behavior of rockfill[J]. Rock and Soil Mechanics, 2003, 24(3): 479-483. (in Chinese)) [15] DAOUADJI A, HICHER P Y.An enhanced constitutive model for crushable granular materials[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2010, 34(6): 555-580. [16] SAMMIS C, KING G, BIEGEL R.The kinematics of gouge deformation[J]. Pure and Applied Geophysics, 1987, 125(5): 777-812. [17] WOOD D M, MAEDA K.Changing grading of soil: effect on critical states[J]. Acta Geotechnica, 2008, 3(1): 3-14. [18] TSOUNGUI O, VALLET D, CHARMET J C.Numerical model of crushing of grains inside two-dimensional granular materials[J]. Powder Technology, 1999, 105(1): 190-198. [19] MCDOWELL G R, DE BONO J P. On the micro mechanics of one-dimensional normal compression[J]. Géotechnique, 2013, 63(11): 895-908. [20] MAJMUDAR T S, BEHRINGER R P.Contact force measurement and stress-induced anisotropy in granular materials[J]. Nature, 2005, 435(7045): 1079-1082. [21] JI S Y.Probability analysis of contact forces in quasi-slid -liquid phase transition of granular shear flow[J]. Science China (Physics, Mechanics & Astronomy), 2013, 56(2): 395-403. [22] 孙其诚, 王光谦. 静态堆积颗粒中的力链分布[J]. 物理学报, 2008, 57(8): 4667-4674. (SUN Qi-cheng, WANG Guang-qian.Force distribution in static granular matter in two dimensions[J]. Acta Physical Sinica, 2008, 57(8): 4667-4674. (in Chinese))
