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“GRANULAR” package - Lammps

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Principles of DEM<br />

In it‘s simplest form (linear spring-dashpot model), the force balance is<br />

••<br />

mp xp<br />

= Fn<br />

+ Ft<br />

+<br />

mg<br />

The normal force tending to repulse the particles is<br />

F = −k<br />

δ + c ∆v<br />

n<br />

δ: spatial overlap, ∆v n: normal relative velocity at the contact point.<br />

The tangential force F t is written as<br />

F<br />

t<br />

n<br />

t<br />

n<br />

t t<br />

tc,<br />

0<br />

��� �<br />

" δt<br />

"<br />

∆v t: relative tangential velocity, t: contact point tangential vector<br />

tc,0: time when the contact between the particles started<br />

Christian Doppler Laboratory on Particulate Flow Modelling www.particulate-flow.at<br />

n<br />

= k ∫ ∆v<br />

( τ ) dτ<br />

��� t + ct<br />

∆vt<br />

, max⎜<br />

⎛ F<br />

⎝<br />

t<br />

⎟<br />

⎞<br />

⎠<br />

=<br />

µ F<br />

n<br />

6

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