Force distributions in a triangular lattice of rigid bars.
Publication
, Journal Article
Tighe, BP; Socolar, JES; Schaeffer, DG; Mitchener, WG; Huber, ML
Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
September 2005
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 superexponential 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.
Duke Scholars
Published In
Physical review. E, Statistical, nonlinear, and soft matter physics
DOI
EISSN
1550-2376
ISSN
1539-3755
Publication Date
September 2005
Volume
72
Issue
3 Pt 1
Start / End Page
031306
Related Subject Headings
- Fluids & Plasmas
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Tighe, B. P., Socolar, J. E. S., Schaeffer, D. G., Mitchener, W. G., & Huber, M. L. (2005). Force distributions in a triangular lattice of rigid bars. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 72(3 Pt 1), 031306. https://doi.org/10.1103/physreve.72.031306
Tighe, Brian P., Joshua E. S. Socolar, David G. Schaeffer, W Garrett Mitchener, and Mark L. Huber. “Force distributions in a triangular lattice of rigid bars.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 72, no. 3 Pt 1 (September 2005): 031306. https://doi.org/10.1103/physreve.72.031306.
Tighe BP, Socolar JES, Schaeffer DG, Mitchener WG, Huber ML. Force distributions in a triangular lattice of rigid bars. Physical review E, Statistical, nonlinear, and soft matter physics. 2005 Sep;72(3 Pt 1):031306.
Tighe, Brian P., et al. “Force distributions in a triangular lattice of rigid bars.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 72, no. 3 Pt 1, Sept. 2005, p. 031306. Epmc, doi:10.1103/physreve.72.031306.
Tighe BP, Socolar JES, Schaeffer DG, Mitchener WG, Huber ML. Force distributions in a triangular lattice of rigid bars. Physical review E, Statistical, nonlinear, and soft matter physics. 2005 Sep;72(3 Pt 1):031306.
Published In
Physical review. E, Statistical, nonlinear, and soft matter physics
DOI
EISSN
1550-2376
ISSN
1539-3755
Publication Date
September 2005
Volume
72
Issue
3 Pt 1
Start / End Page
031306
Related Subject Headings
- Fluids & Plasmas
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences