Jammed packings of bumpy spherical particles
ORAL
Abstract
Static packings of soft frictionless spheres are a simple model to understand the jamming transition in granular media, and have provided great insight. However, friction in granular media plays an important role in determining the structural and mechanical properties of jammed packings. In particular, the number and location of contacts near the Coulomb sliding threshold is strongly correlated with plastic rearrangements. To better understand friction, we numerically generate jammed packings of bumpy spherical particles as a function of the rms roughness of the particles without incorporating {\it ad hoc} single contact frictional forces between particles, {\it i.e.} frictional contacts in the Hertz-Mindlin (HM) model. The frictional interactions in the bumpy particle model emerge in a natural way via the interdigitation of bumps between contacting particles. We calculate the number of contacts, packing fraction, interparticle forces, eigenmodes of the dynamical matrix, and mechanical properties of jammed packings of bumpy particles and compare our results with those obtained using the HM model.
–
Authors
-
Dominic Kwok
Department of Physics
-
K. Vijay Kumar
Department of Mechanical Engineering \& Materials Science and Physics
-
Carl Schreck
Departments of Chemical Engineering, Physics, Mechanical Engineering and Materials Science, and Molecular Biophysics and Biochemistry, Yale University, Department of Physics, Yale University, Yale
-
Corey O'Hern
Department of Mechanical Engineering \& Materials Science and Physics, Yale University, New Haven, CT 06511
-
Mark Shattuck
The City College of New York, Benjamin Levich Institute and Physics Department, The City College of the City University of New York, NY 10031, Levich Institute and Physics department, The City College of New York, City College of New York