Abstract
We present calculations of forces in a static two dimensional sandpile model. The model is very simple supposing spherical, identical, rigid particles on a regular triangular lattice, without friction and with unilateral spring-like contacts. We use a symbolic calculation software to get exact results for several different orientations of the lattice and for different types of supporting surfaces. Special attention is given to the stress tensor and pressure on the bottom of the pile due to their importance in recent works.
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References
S. Luding. Stress distribution in static two dimensional granular model media in the absence of friction. Phys. Rev. E, 55 (4): 4720–4729, 1997.
G. Oron and H.J. Herrmann. Exact calculation of force networks in granular piles. submitted to PRE.
S. B. Savage. Problems in the statics and dynamics of granular materials. In R. P. Behringer and J. T. Jenkins, editors, Powders é? Grains 97, pages 185–194. Balkema, Rotterdam, 1997.
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© 1998 Springer Science+Business Media Dordrecht
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Oron, G., Herrmann, H. (1998). Exact Determination of Force Networks in a Static Assembly of Discs. In: Herrmann, H.J., Hovi, JP., Luding, S. (eds) Physics of Dry Granular Media. NATO ASI Series, vol 350. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2653-5_7
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DOI: https://doi.org/10.1007/978-94-017-2653-5_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5039-7
Online ISBN: 978-94-017-2653-5
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