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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 96
PROCEEDINGS OF THE THIRTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: B.H.V. Topping and Y. Tsompanakis
Paper 140

An Infinitesimal Eccentric Rotational Damping Model for Rolling Resistance of Circular Particles

Y.L. Chang1, T.H. Chen1 and M.C. Weng2

1Department of Civil and Water Resources Engineering, National Chiayi University, Taiwan
2Department of Civil and Environmental Engineering, National University of Kaohsiung, Taiwan

Full Bibliographic Reference for this paper
Y.L. Chang, T.H. Chen, M.C. Weng, "An Infinitesimal Eccentric Rotational Damping Model for Rolling Resistance of Circular Particles", in B.H.V. Topping, Y. Tsompanakis, (Editors), "Proceedings of the Thirteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 140, 2011. doi:10.4203/ccp.96.140
Keywords: eccentric circle model, rotation damping, distinct element method.

Summary
The distinct element method (DEM), proposed by Cundall [1,2], provides a feasible means to gain more insight into the relationships between the microscopic properties and the macroscopic behavior of granular materials. The DEM has been widely used to investigate the micro-deformation mechanisms and failure patterns of geo-materials. However, the DEM differs from natural geo-material in the following aspects: (1) the shapes of most natural particles are far from circular or spherical and (2) the packing of particles exhibits "linear contact" in the real condition, but the contact mode in DEM is mainly "point-to-point" contact between particles. Such assumptions would cause the problem of stabilizing a pile composed of circular particles as there is no mechanism to stop particles from rolling.

This study proposes an infinitesimal eccentric and rotational damping (IERD) model to consider the rolling resistance of circular particles through DEM simulation. The center of mass of a circular particle is firstly slightly adjusted to eccentricity for the effectiveness of a rotational spring [3]. Then, a local rotational damping is adopted to dissipate energy in the rotational direction. Compared with the repose angle tests of rod assemblies, the IERD model is verified and the results are quite satisfactory on the small scale model tests. In addition, simulations using other existing models were also carried out and compared. In conclusion, the particle rolling simulation using the proposed model appears to approach the actual particle trajectory, making it useful for applications.

References
1
P.A. Cundall, O.D.L. Strack, "A discrete numerical model for granular assemblies", Geotechnique, 29(1), 47-65, 1979. doi:10.1680/geot.1979.29.1.47
2
P.A. Cundall, "A computer model for simulating progressive, large scale movement in blocky rock systems", Proc., Symp. Int. Soc. Rock Mech., Inst. Civ. Engrg., Nancy, France, 2(8), 129-136, 1971.
3
Y.L. Chang, C.Y. Chen, A.Y. Xiao, "Non-circular rock-fall motion behavior modeling by the eccentric circle model", Rock Mech Rock Eng, 2010. doi:10.1007/s00603-010-0124-3

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