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[Robert Caulk <question643660@xxxxxxxxxxxxxxxxxxxxx>]

Question #643660 on Yade changed:
https://answers.launchpad.net/yade/+question/643660

Robert Caulk proposed the following answer:
I think the idea of an interaction range is brilliant, it opens up a
huge area of functionality that did not previously exist in yade.

I too found the sentence in that paper a little brief, so I took some
time to derive the equation. Here was my thought process:

Worst case scenario is that two maximum-sized particles might be
interacting. We want to avoid allowing a minimum sized particle between
two interacting particles. So we know the maximum allowable
Deq<2*R_min+2*R_max (distance between 2 max sized particle centers with
a minimum sized particle in between).

And the maximum possible Deq for a given packing

Deq =  gamma_int*(R_max+R_max).

Solving for gamma_int to satisfy both conditions:

gamma_int < (R_min+R_max)/(R_max)

So in your case (R_max/R_min = 9), your max gamma_int would be 1.11 to
avoid overlapping small particles.

It is probably worth saying that in my experience you can go a bit above
the maximum without seeing any negative consequences. Actually, I have
noticed that I [i]need[/i] to go above the maximum to calibrate
toughness...hmmm.

Cheers,

Robert

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