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Re: [Yade-users] π=2 ?! (Ip2_FrictMat_FrictMat_FrictPhys)

 

2010/3/26 Bruno Chareyre <bruno.chareyre@xxxxxxxxxxx>

>
>
>> 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?
>

Yes, actually I am referring here to the contact circular area, as you say
it is a flat surface. The cylinder came to my mind because you could
actually see a sphere as a sum of a series of cylinders with a small
thickness. The contact force can be seen as the one between the tow
cylinders that are in contact (so the center cylinders, say).
Anyway this area is very small compare to particles size.

Chiara


>
> Bruno
>
>
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