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Continuum description for the characteristic resistance sensed by a cylinder colliding against granular medium

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Abstract

In this paper, we experimentally and theoretically study the resistance force that develops when a cylinder with a flat face colliding against dry quartzite sand. Observations from experimental data clearly show that the acceleration curves are characterized by a double-peak structure. The first agitated peak can be attributed to a shock process where sand responds elastically, and the valley bottom in the double-peak structure is related to a limited plastic load when a fully plastic region is formed in the sand, while the second agitated peak corresponds to a the occurrence of the maximum of viscous force in a homogeneous developed bulk flow. We use slip line theory (SL) developed in plastic mechanics to capture the value at the valley bottom, adopt the double shearing theory (DS), together with a Local Rheological Constitutive Law (LRCL) suggested in this paper, to capture the drag force generated in a homogeneous bulk flow. Good agreements in the comparisons between numerical and experimental results support the characteristic resistance by the cylinder to predict granular states.

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Authors and Affiliations

  1. State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing, 100871, China

    Yong Pang & CaiShan Liu

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  1. Yong Pang
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  2. CaiShan Liu
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Correspondence to CaiShan Liu.

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Pang, Y., Liu, C. Continuum description for the characteristic resistance sensed by a cylinder colliding against granular medium. Sci. China Phys. Mech. Astron. 56, 1428–1436 (2013). https://doi.org/10.1007/s11433-013-5142-1

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  • DOI: https://doi.org/10.1007/s11433-013-5142-1

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