| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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A Pair Correlation Function Characterizing the Anisotropy of Force Networks |
| SUN Qi-Cheng1**, JI Shun-Ying2
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1State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084
2State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023
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| Cite this article: |
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SUN Qi-Cheng, JI Shun-Ying 2011 Chin. Phys. Lett. 28 064501 |
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Abstract Force networks may underlie the constitutive relations among granular solids and granular flows and inter-state transitions. However, it is difficult to effectively describe the anisotropy of force networks. We propose a new pair correlation function g(r,θ) to describe the characteristic lengths and orientations of force chains that are composed of particles with contact forces greater than the threshold values. A formulation g(r,θ)≈a(r)+b(r)cos2(θ−π/2) is used to fit the g(r,θ) data. The characteristic lengths and orientations of force networks are then elucidated.
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| Keywords:
45.70.-n
81.05.Rm
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Received: 02 March 2011
Published: 29 May 2011
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| PACS: |
45.70.-n
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(Granular systems)
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81.05.Rm
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(Porous materials; granular materials)
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[1] Jiang Y M and Liu M 2009 Granular Matter 11 139
[2] Kuhn M R 1999 Mech. Mater. 31 407
[3] Campbell C S 2006 Powder Technol. 162 208
[4] Ji S Y and Shen H H 2008 J. Rheol. 52 87
[5] Peters J F, Muthuswamy M, Wibowo J and Tordesillas A 2005 Phys. Rev. E 72 041307
[6] Muthuswamy M and Tordesillas A 2006 J. Stat. Mech. P09003
[7] Sun Q, Jin F, Liu J and Zhang G 2010 Int. J. Mod. Phys. B 24 5743
[8] Tordesillas A, O'Sullivan P and Paramitha D M W 2010 Comptes Rendus Mecanique 338 556
[9] Donev A, Torquato S and Stillinger F H 2005 Phys. Rev. E 71 011105
[10] Cheng X 2010 Phys. Rev. E 81 031301
[11] Thornton C and Barnes D J 1986 Acta Mech. 64 45
[12] Oda M, Nemat-Nasser S and Mehrabadi M M 1982 Int. J. Numer. Anal. Methods Geomech. 6 77
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