The paper presents a definition of particle rolling for the interactions of two and three-dimensional particles of arbitrary shape, in case of infinitesimal particle translations and rotations. The definition is based on a purely kinematical analysis, and it is shown to satisfy the objectivity condition.

1.
Iwashita
,
K.
, and
Oda
,
M.
,
1998
, “
Rolling Resistance at Contacts in Simulations of Shear Band Development by DEM
,”
J. Eng. Mech.
,
124
(
3
), pp.
285
292
.
2.
Oda
,
M.
,
Konishi
,
J.
, and
Nemat-Nasser
,
S.
,
1982
, “
Experimental Micromechanical Evaluation of Strength of Granular Materials: Effects of Particle Rolling
,”
Mech. Mater.
,
1
, pp.
269
283
.
3.
Rothenburg
,
L.
, and
Bathurst
,
R. J.
,
1993
, “
Influence of Particle Eccentricity on the Micromechanical Behavior of Granular Materials
,”
Mech. Mater.
,
16
(
1–2
), pp.
141
152
.
4.
Ting
,
J. M.
,
Meachum
,
L.
, and
Rowell
,
J. D.
,
1995
, “
Effect of Particle Shape on the Strength and Deformation Mechanisms of Ellipse-Shaped Granular Assemblages
,”
Eng. Comput.
,
12
, pp.
99
108
.
5.
Matsushima, T., and Konagai, K., 2001, “Grain-Shape Effect on Peak Strength of Granular Materials,” Proc. 10 IACMAG: Computer Methods and Advances in Geomechanics, Desai et al., eds., Balkema, pp. 361–366.
6.
Lin
,
X.
, and
Ng
,
T.-T.
,
1997
, “
A Three-Dimensional Discrete Element Model Using Arrays of Ellipsoids
,”
Geotechnique
,
47
(
2
), pp.
319
329
.
7.
Montana
,
D. J.
,
1988
, “
The Kinematics of Contact and Grasp
,”
Int. J. Robot. Res.
,
7
(
3
), pp.
17
32
.
You do not currently have access to this content.