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arXiv 1912.04491cond-mat.softphysics.flu-dyn
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压力和剪应力控制下致密颗粒材料的粘性流动

Viscometric flow of dense granular materials under controlled pressure and shear stress

Ishan Srivastava, Leonardo E. Silbert, Gary S. Grest, Jeremy B. Lechman

摘要:

本研究利用离散元法模拟,探讨在外部剪应力与压力作用下,密实颗粒物料的流动。在这种方法中,允许材料沿所有周期性方向应变,并响应于内部应力状态和外部施加应力之间的不平衡来调整其固体体积分数。通过系统地改变外部剪切应力和压力,稳态流变响应模拟:(1)率无关的准静态流;(2)率相关的惯性流。模拟的流动是具有不可忽略的第一和第二法向应力差的粘度。在惯性流中,两个法向应力差均为负值,而在准静态流中,第一个法向应力差由负值变为略正值,第二个法向应力差趋于零。第一个法向应力差出现从一个第二列接触织物张量和应变率张量之间的流动平面的同轴性缺乏,而第二个法向应力差是链接到一个过剩的接触在剪切平面相比,涡度方向。一个通用的流变学模型的二阶(应变率张量),提出来描述这两种类型的流,和模型校准的各种值的颗粒间摩擦模拟近单分散球体。该模型采用了正常的应力差异,在这两个制度的流动,并提供了一个完整的粘度稳定的致密颗粒流的描述。

英文摘要:

This study examines the flow of dense granular materials under external shear stress and pressure using discrete element method simulations. In this method, the material is allowed to strain along all periodic directions and adapt its solid volume fraction in response to an imbalance between the internal state of stress and the external applied stress. By systematically varying the external shear stress and pressure, the steady rheological response is simulated for: (1) rate-independent quasi-static flow; and (2) rate-dependent inertial flow. The simulated flow is viscometric with non-negligible first and second normal stress differences. While both normal stress differences are negative in inertial flows, the first normal stress difference switches from negative to slightly positive, and second normal stress difference tends to zero in quasi-static flows. The first normal stress difference emerges from a lack of coaxiality between a second-rank contact fabric tensor and strain rate tensor in the flow plane, while the second normal stress difference is linked to an excess of contacts in the shear plane compared with the vorticity direction. A general rheological model of second order (in terms of strain rate tensor) is proposed to describe the two types of flow, and the model is calibrated for various values of interparticle friction from simulations on nearly monodisperse spheres. The model incorporates normal stress differences in both regimes of flow and provides a complete viscometric description of steady dense granular flows.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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