Evaluation of double-shearing type kinematic models for granular flows by use of distinct element methods for non-circular particles
JIANG Ming-jing1, 2, LI Li-qing1, 2, 3, SHEN Zhi-fu1, 2
1. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China; 2. Dept. of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 3. Henan Transportation Research Institute Co., Ltd., Zhengzhou 450006, China
蒋明镜, 李立青, 申志福. 双剪类流动模型的非圆形颗粒离散元数值验证[J]. 中国医学科学杂志, 2013, 47(6): 619-626.
JIANG Ming-jing, LI Li-qing, SHEN Zhi-fu. Evaluation of double-shearing type kinematic models for granular flows by use of distinct element methods for non-circular particles. CMD, 2013, 47(6): 619-626.
[1] MANDEL J. Sur les lignes de glissement et le calcul des deplacements dans la deformation plastique[C]//C. r.hebd. Seanc Acad Sci, Paris,1947, 223:1272-1273.
[2] DE Josselin de Jong. The undefiniteness in kinematics for friction materials[C]//Proc Conf Earth Pressure Problem, Brussels, 19581: 55-70.The undefiniteness in kinematics for friction materials[C]//Proc Conf Earth Pressure Problem, Brussels, 19581: 55-70.
[3] DE Josselin de Jong. The double sliding, free rotating model for granular assemblies[J]. Géotechnique, 1971,213:155-162.
[4] MEHRABADI M M, COWIN S C. On the double-sliding free-rotating model for the deformation of granular materials [J]. Journal of the Mechanics and Physics of Solids, 1981,294:269-282.
[5] SPENCER A J M. A theory of the kinematics of ideal soils under planer strain conditions[J]. Journal of the Mechanics and Physics of Solids, 1964,12:337-351.
[6] HARRIS D. A unified formulation for plasticity models of granular and other materials[C]//Proc R Soc Lond, 1995, A450: 37-49.A unified formulation for plasticity models of granular and other materials[C]//Proc R Soc Lond, 1995, A450: 37-49.
[7] Nemat-Nasser S. A micromechanically-based constitutive model for frictional deformation of granular materials[J]. Journal of Mechanics and Physics of Solids, 2000,48:1541-1563.
[8] JIANG M J, HARRIS D, YU H S. Kinematic models for non-coaxial granular materials: Part I: theories[J]. Int Journal for Numerical and Analytical Methods in Geomechanics, 2005,297:643-661.
[9] JIANG M J, HARRIS D, YU H S. Kinematic models for non-coaxial granular materials: Part II: evaluation[J]. Int Journal for Numerical and Analytical Methods in Geomechanics, 2005,297:663-689.
[10] JIANG M J, HARRIS D, YU H S. A novel approach to examining double-shearing type models for granular materials [J]. Granular Matter, 2005,72/3:157-168.
[11] JIANG M J, YU H S, HARRIS D. Kinematic variables bridging discrete and continuum granular mechanics[J]. Mechanics Research Communications, 2006,33:651-666.
[12] 李立青,蒋明镜,吴晓峰. 椭圆形颗粒堆积体模拟颗粒材料力学性能的离散元数值方法[J]. 岩土力学,2011, 32增刊1: 713-718. LI Li-qing,JIANG Ming-jing, WU Xiao-feng.
A developed discrete element model NS2D for simulating mechanical properties of elliptical particles assemblages[J]. Rock and Soil Mechanics, 2011, 32S1: 713-718. (in Chinese)
[13] 蒋明镜,申志福,李立青. 双滑移转动率模型对椭圆散粒体的适用性[J]. 计算力学学报, 2013,待刊. JIANG Ming-jing, SHEN Zhi-fu, LI Li-qing. Applicablity of double slip and rotation rate model for elliptical granular assemblage[J]. Chinese Journal of Computational Mechanics, 2013, in press. (in Chinese)
[14] LIN X, NG T T. Contact detection algorithms for three-dimensional ellipsoids in discrete element method[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1995,199:653-659.
[15] JIANG M J, KONRAD J M, LEROUEIL S. An efficient technique to generate homogeneous specimens for DEM studies[J]. Computers and Geotechnics, 2003,305:579-597.
[16] JOER H A, LANIER J, FAHEY M. Deformation of granular materials due to rotation of principal axes[J]. Géotechnique, 1998,45:605-619.
[17] DOUNIAS G T, POTTS D M. Numerical analysis of drained direct and simple shear tests[J]. Journal of Geotechnical Engineering, 1993,11912:1870-1891.
[18] 黄茂松,孙海忠,钱建固. 粗粒土的非共轴性及其离散元数值模拟[J]. 水利学报, 2010,412:173-181. HUANG Mao-song, SUN Hai-zhong, QIAN Jian-gu.
Non-coaxial behavior of coarse granular aggregates simulated by DEM[J]. Journal of Hydraulic Engineering, 2010, 412: 173-181. (in Chinese)