Anomalies in normal and oblique collision properties of spherical particles

Abstract Collision of particles either between themselves or with the wall, are typically characterized by normal and tangential coefficients of restitution, which depend on material and surface properties of the colliding objects. An accurate estimate of coefficients of restitution is of importance as it is one of input parameters in the discrete element simulations of a large system of particles. Often anomalies in the experimentally obtained values of the coefficients are reported in the literature. In the present work, both normal and tangential coefficients of restitution along with the surface and the local material properties are determined and compared with the predictions of the existing models. In certain cases, the experimentally obtained values agree fairly well with the values determined using the models while in some other cases anomalies in the experimental results are observed.

[1]  Inelastic impact of a sphere on a massive plane: Nonmonotonic velocity-dependence of the restitution coefficient , 2002, cond-mat/0209490.

[2]  Derek C. Richardson,et al.  Experimental determination of the coefficient of restitution for meter-scale granite spheres , 2011 .

[3]  Michel Y. Louge,et al.  Measurements of the collision properties of small spheres , 1994 .

[4]  Mihail C. Roco,et al.  Particulate two-phase flow , 1993 .

[5]  C. Thornton,et al.  A theoretical model for the stick/bounce behaviour of adhesive, elastic-plastic spheres , 1998 .

[6]  J. N. Fawcett,et al.  The Role of Elastic Tangential Compliance in Oblique Impact , 1981 .

[7]  M. Louge,et al.  Anomalous behavior of normal kinematic restitution in the oblique impacts of a hard sphere on an elastoplastic plate. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  S. Heinrich,et al.  The normal and oblique impact of three types of wet granules , 2011 .

[9]  W. Stronge.  Rigid body collisions with friction , 1990, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[10]  H. Kolsky,et al.  Some experiments on anelastic rebound , 1964 .

[11]  Ahmad H. Kharaz,et al.  The measurement of particle rebound characteristics , 2000 .

[12]  S. Fauve,et al.  Behavior of one inelastic ball bouncing repeatedly off the ground , 1998 .

[13]  Wen-Ruey Chang,et al.  Normal Impact Model of Rough Surfaces , 1992 .

[14]  R. Davé,et al.  MEASUREMENTS OF COLLISIONAL PROPERTIES OF SPHERES USING HIGH-SPEED VIDEO ANALYSIS , 1997 .

[15]  F. R. E. Crossley,et al.  Multiple Impacts of a Ball Between Two Plates—Part 1: Some Experimental Observations , 1975 .

[16]  H. Fujita,et al.  Effect of specimen thickness on mechanical properties of polycrystalline aggregates with various grain sizes , 1979 .

[17]  C. V. Raman,et al.  On some applications of Hertz's theory of impact , 1920 .

[18]  A. Aryaei,et al.  Experimental and numerical study of ball size effect on restitution coefficient in low velocity impacts , 2010 .

[19]  C. Thornton.  Coefficient of Restitution for Collinear Collisions of Elastic-Perfectly Plastic Spheres , 1997 .

[20]  M. Louge,et al.  High apparent adhesion energy in the breakdown of normal restitution for binary impacts of small spheres at low speed , 2009 .

[21]  Jürgen Tomas,et al.  Quasi-static diametrical compression of characteristic elastic–plastic granules: Energetic aspects at contact , 2014 .

[22]  H. Urbassek,et al.  The elastic-plastic transition in nanoparticle collisions. , 2016, Physical chemistry chemical physics : PCCP.

[23]  George M. Whitesides,et al.  Viscoelastic properties of oxide-coated liquid metals , 2009 .

[24]  S. M. Springman,et al.  A coefficient of restitution of rock materials , 2008, Comput. Geosci..

[25]  G. Kuwabara,et al.  Restitution Coefficient in a Collision between Two Spheres , 1987 .

[26]  Wei Ge,et al.  Simple measurement of restitution coefficient of irregular particles , 2004 .

[27]  G. Bossis,et al.  Velocity-dependent restitution coefficient and granular cooling in microgravity , 2009 .

[28]  Agba D. Salman,et al.  An experimental study of the elastic rebound of spheres , 2001 .

[29]  Colin Thornton,et al.  Coefficients of restitution for elastoplastic oblique impacts , 2003 .

[30]  G. Weir,et al.  The coefficient of restitution for normal incident, low velocity particle impacts , 2005 .

[31]  M. Louge,et al.  Measurements of impact properties of small, nearly spherical particles , 1997 .

[32]  J. Tomas,et al.  A novel approach to evaluate the elastic impact of spheres on thin plates , 2015 .

[33]  Jürgen Tomas,et al.  Influences of loading rate and preloading on the mechanical properties of dry elasto‐plastic granules under compression , 2014 .

[34]  Michael H. Moys,et al.  Experimental study of oblique impacts with initial spin , 2006 .

[35]  Paul W. Cleary,et al.  An investigation of the comparative behaviour of alternative contact force models during elastic collisions , 2011 .

[36]  C. Brennen,et al.  Measurements of Solid Spheres Bouncing Off Flat Plates , 1990 .

[37]  Marina Montaine,et al.  Coefficient of restitution as a fluctuating quantity. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[38]  Christine M. Hrenya,et al.  Comparison of soft-sphere models to measurements of collision properties during normal impacts , 2005 .