If I can give my opinion (very little since I still have quite a lot
to learn in the time yet to come) we know that from the contact
mechanics when two particles get in contact (let consider only the
case of elastic flattening) we can approximate the area of interaction
as πa² (so a flat surface), where a is the current contact area. It is
an approximation since we are neglecting the curvature, but it is a
useful relation once we want to work out the interaction force due to
the interaction surface energy between two particles (it is the so
called derjiaguin approximation). In our case we do not have any
deformation at contact since we deal with rigid bodies, so I cannot
really see a clear connection. It was just to say why the cylinder
section.
This is a third possible approach. Here you refer to the real contact
area, wich is a surface, not a cylinder, and it is very small compared
to the size of grains, right?
Bruno
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