Contact forces of polyhedral particles in discrete element method

A general contact force law for arbitrarily shaped bodies is presented. At first an advanced contact force law is derived from the well know Hertz contact law. The obtained formulation of the Hertz contact law can be applied to the contact of arbitrarily shaped bodies. In a second step this contact...

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Bibliographic Details
Published in:Granular matter 2013-06, Vol.15 (3), p.349-355
Main Authors: Nassauer, Benjamin, Kuna, Meinhard
Format: Article
Language:English
Subjects:
Complex Fluids and Microfluidics
Computer simulation
Contact
Contact force
Damping
Discrete element method
Engineering Fluid Dynamics
Engineering Thermodynamics
Fluid mechanics
Foundations
Friction
Geoengineering
Heat and Mass Transfer
Hydraulics
Industrial Chemistry/Chemical Engineering
Law
Materials Science
Mathematical models
Original Paper
Particle physics
Physics
Physics and Astronomy
Simulation
Soft and Granular Matter
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Summary:A general contact force law for arbitrarily shaped bodies is presented. At first an advanced contact force law is derived from the well know Hertz contact law. The obtained formulation of the Hertz contact law can be applied to the contact of arbitrarily shaped bodies. In a second step this contact model is applied to the contacts among polyhedral particles. The results are compared to finite element simulations. The model is extended by terms for damping and friction. The behaviour of the damping and friction model are demonstrated with simple examples. The force law is then implemented in the discrete element method (DEM). The application of this DEM is demonstrated by a simulation of the particle movement in a mixer.
ISSN:1434-5021
1434-7636
DOI:10.1007/s10035-013-0417-9