无黏性颗粒在平面上的堆积角
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摘要
运用连续介质模型和库仑屈服条件,介绍了库仑不等式的证明方法,研究了无黏性颗粒物质在自然堆积状态下的堆积角的形成机制及影响因素,通过理论模型导出理想状况下锥形堆的自然休止角与内摩擦角的关系.实验结果表明:颗粒的密度对于堆积角不存在确定的影响.不规则颗粒的自然休止角、内摩擦角与粒径间的变化趋势一致,粒径的分布对锥形堆的自然休止角产生影响;规则颗粒的几何尺寸对堆积角无明显影响,非球形颗粒的几何形状对堆积角有显著影响.底面摩擦系数较小时,锥体的堆积角与底面摩擦系数呈正相关,随着摩擦系数的增大,堆积角将达到饱和.
The Coulomb inequality was introduced using continuous medium model under Coulomb yield condition.The formation mechanism and influential factors of the accumulation angle of non-adhesive particles in natural accumulation state were studied.The relation between natural repose angle and internal friction angle of conical pile under ideal conditions was deduced by theoretical model.In the experimental measurement range,the density of particles did not have a definite effect on the accumulation angle.For the irregular particles,the trend of the change of natural repose angle and the internal friction angle with particle size were consistent,and the distribution of particle size affected the natural repose angle of the conical pile.The geometric size of regular particles had no significant effect on the accumulation angle,while the geometric shape had significant effect.When the friction coefficient of the bottom surface was small,the accumulation angle of the conical pile was positively correlated with it.With the increase of the friction coefficient,the accumulation angle reached saturation.
The Coulomb inequality was introduced using continuous medium model under Coulomb yield condition.The formation mechanism and influential factors of the accumulation angle of non-adhesive particles in natural accumulation state were studied.The relation between natural repose angle and internal friction angle of conical pile under ideal conditions was deduced by theoretical model.In the experimental measurement range,the density of particles did not have a definite effect on the accumulation angle.For the irregular particles,the trend of the change of natural repose angle and the internal friction angle with particle size were consistent,and the distribution of particle size affected the natural repose angle of the conical pile.The geometric size of regular particles had no significant effect on the accumulation angle,while the geometric shape had significant effect.When the friction coefficient of the bottom surface was small,the accumulation angle of the conical pile was positively correlated with it.With the increase of the friction coefficient,the accumulation angle reached saturation.
引文
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[2]陆坤权,刘寄星.颗粒物质(上)[M].物理,2004,33(9):629-635.
[3]孙其诚,厚美瑛,金峰.颗粒物质物理与力学[M].北京:科学出版社,2011:44-77.
[4]Nedderman R M.Statics and kinematics of granular materials[M].Cambridge:Cambridge Uuniversity Press,1992:9-29.
[5]Mehta A,Barker G C.The dynamics of sand[J].Reports on Progress in Physics,1994,57(4):383.
[6]Allaby M.A dictionary of earth sciences[M].Oxford:Oxford University Press,1999:25.
[7]张庆武,蒋亦民,左静,等.不同粗糙度平面上静止颗粒堆底的切应力分布[J].科学通报,2010,55(4/5):316-321.
[8]Luding S.Stress distribution in static two-dimentional granular model media in the absence of friction[J].Phys.Rev.E,1997,55(4):4720.
[9]范志杰,屈建军,周焕.沙土内摩擦角与粒径、含水率及天然坡角的关系[J].中国沙漠,2015,35(2):301-305.