Macro- and micro-properties and formation mechanisms of granular piles
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摘要: 利用离散元数值方法模拟由不同形状颗粒形成散粒堆积体的过程,并通过分析堆积体的宏细观力学特征来揭示其形成机制。研究发现,颗粒形状愈规则,自然休止角愈小。细观上,颗粒接触法向量、法向接触力和切向接触力的各向异性分布强度都随颗粒形状变得规则而降低;接触法向量各向异性主方向与竖直方向的角度差Δ?n同自然休止角α之和近乎为一个常数,法向接触力和切向接触力的各向异性主方向与竖直方向的角度差Δ?f和Δ?t可近似表达为与自然休止角α正相关的线性函数。最后,建立了堆积体内部拱效应的优势发挥方位同颗粒接触法向量、法向接触力和切向接触力各向异性主方向的关系。Abstract: A DEM study is carried out to simulate the construction of granular piles by considering various particle shapes. The underlying mechanisms are analyzed through the examination of the macro and micro-characteristics of granular piles. It is found that angle of repose decreases as particle shape evolves towards a regular pattern. Microscopically, the anisotropy magnitudes of contact orientation vectors, contact normal and tangential force vectors decrease as particle shape evolves from an irregular one to a regular one. The summation of the angle difference Δ?n between the principal anisotropy direction of contact orientation vectors and the vertical direction, with the angle of repose α, is almost a constant, and the angel differences Δ?f and Δ?t for the principal anisotropy directions of contact normal and tangential forces are revealed to be a linear function of angle of repose α. In addition, a relationship is also established between the direction where the most intense arching effect occurs and the principal anisotropy directions of contact orientation vectors, contact normal and tangential force vectors.
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Keywords:
- granular pile /
- discrete element method /
- angle of repose /
- force chain /
- anisotropy /
- arching effect
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[1] MUEGGENBURG N W, JAEGER H M, NAGEL S R.Stress transmission through three-dimensional ordered granular arrays[J]. Phys Rev E, 2002, 66: 031304. [2] ATMAN A P F, BRUNET P, GENG J, et al. From the stress response function (back) to the sand pile “dip”[J]. Eur Phys J E, 2005, 13: 93-100. [3] GENG J, LONGHI E, BEHRINGER R P, et al.Memory in two-dimensional heap experiments[J]. Phys. Rev. E, 2001, 64: 060301. [4] ZUIGUEL L, MULLIN T, ROTTER J M.The effect of particle shape on the stress dip under a sandpile[J]. Phys. Rev. Lett., 2007, 98: 028001. [5] LUDING S.Stress distribution in static two-dimensional granular model media in the absence of friction[J]. Phys Rev E, 1997, 55: 4720-4729. [6] GOLDENBERG C, GOLDHIRSCH I.Friction enhances elasticity in granular solids[J]. Nature, 2005, 435: 188-191. [7] LIFFMAN K, NGUYEN M, METCALFE G, et al.Forces in piles of granular materials: an analytic and 3D DEM study[J]. Granul Matter, 2001, 3: 165-176. [8] LI Y, XU Y, THORNTON C.A comparison of discrete element method simulations and experiments for ‘sand pile’ composed of spherical particles[J]. Powder Technol, 2005, 160: 219-228. [9] DAI B B, YANG J, ZHOU C Y.Micromechanical origin of angle of repose in granular materials[J]. Granul Matter, 2017, 19: 24. [10] MATUTTIS H G, LUDING S, HERRMANN H J.Discrete element simulations of dense packing and heaps made of spherical and non-spherical particles[J]. Powder Technol., 2000, 109: 278-292. [11] ZHOU Z Y, ZOU R P, PINSON D, et al.Angle of repose and stress distribution of sandpiles formed with ellipsoidal particles[J]. Granul Matter, 2014, 16: 695-709. [12] 戴北冰, 杨峻, 周翠英. 松砂不稳定行为的数值模拟研究[J]. 岩土工程学报, 2013, 35(9): 1737-1745.
(DAI Bei-bing, YANG Jun,ZHOU Cui-ying.Numerical study on instability behavior of sand[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(9): 1737-1745. (in Chinese))[13] DAI B B.Probing the boundary effect in granular piles[J]. Granul Matter, 2018, 20: 5. -
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