A Pair Correlation Function Characterizing the Anisotropy of Force Networks
SUN Qi-Cheng1**, JI Shun-Ying2
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
A Pair Correlation Function Characterizing the Anisotropy of Force Networks
SUN Qi-Cheng1**, JI Shun-Ying2
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
摘要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.
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.
SUN Qi-Cheng**;JI Shun-Ying
. A Pair Correlation Function Characterizing the Anisotropy of Force Networks[J]. 中国物理快报, 2011, 28(6): 64501-064501.
SUN Qi-Cheng**, JI Shun-Ying
. A Pair Correlation Function Characterizing the Anisotropy of Force Networks. Chin. Phys. Lett., 2011, 28(6): 64501-064501.
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2011, Vol. 28 
