“GRANULAR” package - Lammps
“GRANULAR” package - Lammps
“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