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Force distributions in a triangular lattice of rigid bars
release_xemd4rodqbfihh4diwza4odryq
by
Brian P. Tighe,
Joshua E. S. Socolar,
David G. Schaeffer,
W. Garrett
Mitchener,
Mark L. Huber
Released
as a article
.
2005
Abstract
We study the uniformly weighted ensemble of force balanced configurations on
a triangular network of nontensile contact forces. For periodic boundary
conditions corresponding to isotropic compressive stress, we find that the
probability distribution for single-contact forces decays faster than
exponentially. This super-exponential decay persists in lattices diluted to the
rigidity percolation threshold. On the other hand, for anisotropic imposed
stresses, a broader tail emerges in the force distribution, becoming a pure
exponential in the limit of infinite lattice size and infinitely strong
anisotropy.
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