Numerical investigation of impact of non-spherical particles with spin and multi-point contact
Xindong Xu 1,   Kuahai Yu 1  
,   Shile Yao 1,   Shihong Xin 1,   Zhufeng Yue 2,   Lei Li 2
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Department of Engineering Mechanics, Henan University of Science and Technology, Luoyang, China
School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, China
Kuahai Yu   

Department of Engineering Mechanics, Henan University of Science and Technology, Luoyang, China
Submission date: 2020-10-12
Final revision date: 2021-04-22
Acceptance date: 2021-06-09
Online publication date: 2021-06-14
Publication date: 2021-07-25
Journal of Theoretical and Applied Mechanics 2021;59(3):431–441
This paper investigates the dynamic behavior of elastoplastic collision of several non-sphere particles through the spherical element combination method. The particles are cylinder, triangle and square particles, which are combined by 2, 3 and 4 spheres using the spherical element method, respectively. Results reveal that the collision of the evaluated irregular particles exhibits three contact styles, which are single point contact, instantaneous multi-point contact and sequential multi-point contact. Normal contact torque and frictional torque act together on the spin of a particle and causes sequential multi-point contact under certain conditions for square particles.
Abedi M., 2009, Effect of Restitution Coefficient on Inertial Particle Separator’s Efficiency, Master’s thesis, Northeastern University, Boston, Massachusetts.
Azimian M., Schmitt P., Bart H.J., 2015, Numerical investigation of single and multi impacts of angular particles on ductile surfaces, Wear, 342, 252-261.
Cui Z.Q., Chen Y.C., Zhao Y.Z., Hua Z.L., Liu X., Zhou C.L., 2013, Study of discrete element model for non-sphere particles base on super-quadrics, Chinese Journal of Computational Mechanics, 30, 854-859.
Deresiewicz H., 1968, A note on Hertz’s theory of impact, Acta Mechanica, 6, 110-112.
Favier J.F., Abbaspour-Fard M.H., Kremmer M., Raji A.O., 1999, Shape representation of axi-symmetrical, non-spherical particles in discrete element simulation using multi-element model particles, Engineering Computations, 16, 467-480.
Gui N., Yang X.T., Tu J.Y., Jiang S.Y., 2016, A generalized particle-to-wall collision model for non-spherical rigid particles, Advanced Powder Technology, 27, 154-163.
He S.M., Wu Y., 2008, Theoretical model on elastic-plastic granule impact, Engineering Mechanics, 25, 19-24.
Hőhner D., Wirtz S., Kruggel-Emden H., Scherer V., 2011, Comparison of the multi-sphere and polyhedral approach to simulate non-spherical particles within the discrete element method: influence on temporal force evolution for multiple contacts, Powder Technology, 208, 643-656.
Jackson R.L., Green I., 2005, A finite element study of elasto-plastic hemispherical contact against a rigid flat, Journal of Tribology, 127, 2, 343-354.
Kildashti K., Dong K.J., Samali B.J., Zheng Q., Yu A., 2018, Evaluation of contact force models for discrete modelling of ellipsoidal particles, Chemical Engineering Science, 177, 1-18.
Kim O.V., Dunn P.F., 2007, A microsphere-surface impact model for implementation in computational fluid dynamics, Journal of Aerosol Science, 38, 532-549.
Kodam M., Bharadwaj R., Curtis J., Hancock B., Wassgren C., 2009, Force model considerations for glued-sphere discrete element method simulations, Chemical Engineering Science, 64, 3466-3475.
Kruggel-Emden H., Rickelt S.,Wirtz S., Scherer V., 2008, A study on the validity of the multi-sphere discrete element method, Powder Technology, 188, 153-165.
Ning Z.M., 1995, Elasto-Plastic Impact of Fine Particles and Fragmentation of Small Agglomerates, The University of Aston in Birmingham.
Sommerfeld M., Huber N., 1999, Experimental analysis and modelling of particle-wall collisions, International Journal of Multiphase Flow, 25, 1457-1489.
Tabor D., 1951, The Hardness of Metals, Clarendon Press, Oxford.
Thornton C., 1997, Coefficient of restitution for collinear collisions of elastic-perfectly plastic spheres, Journal of Applied Mechanics, 64, 383-386.
Wang S.Q., Ji S.Y., 2018, Discrete element analysis of buffering capacity of non-spherical granular materials based on uper-quadric method, Acta Physica Sinica, 67, 182-193.
Wu C.Y., Thornton C., Li L.Y., 2003, Coefficients of restitution for elastoplastic oblique impacts, Advanced Powder Technology, 14, 435-448.
Wynn E.J.W., 2009, Simulations of rebound of an elastic ellipsoid colliding with a plane, Powder Technology, 196, 62-73.
You Y., Zhao Y.Z., 2018, Discrete element modelling of ellipsoidal particles using super-ellipsoids and multi-spheres: a comparative study, Powder Technology, 331, 179-191.
Yu K.H., Elghannay H., Tafti D., 2017, An impulse based model for spherical particle collisions with sliding and rolling, Powder Technology, 319, 102-116.
Yu K.H., Tafti D., 2016, Impact model for micrometer-sized sand particles, Powder Technology, 294, 11-21.
Yu K.H., Tafti D., 2019, Size and temperature dependent collision and deposition model for micron-sized sand particles, Journal of Turbomachinery, 141, 1-11.
Zhang X., Vu-Quoc L., 2002, Modeling the dependence of the coefficient of restitution on the impact velocity in elasto-plastic collisions, International Journal of Impact Engineering, 27, 317-341.