You're right! Some people consider granular matter as a continuous
media. I don't.
Note that the integral is computed on deformed contour.The integral is for one grain alone. Considering one grain as a continuum doesn't sound so absurd, does it? We are far above the atomic scale. In  ,  is the
contact point, closer to center than radius. Hence, dividing by a
volume of the Voronoi sort would not be consistent with the
integration domain. I don't see what other volume could be used than
the one of the sphere actually (exception for Hertz-Mindlin experts
who know what is the exact very small volume change, as a function
of Poisson ratio, in the vicinity of a contact).B. |
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