Analysis on Evolution of Force Chain and Contact Network of Non-Cohesive Soil

Abstract:

A biaxial test model was established based on the discrete element method to simulate the microscopic evolution of non-viscous soil upon loading. The shear strain, deviator stress and volumetric strain of the samples at different time steps were recorded, the evolution process of the force chain in the samples was observed, and the average degree (coordination number), 3-cycle and average clustering coefficient over force-chain particles were also analyzed respectively from the perspective of complex network. The following analysis results are obtained. The larger the value of inter-particle friction coefficient, the higher the peak value of shear stress, and the more obvious the strain softening phenomenon. The force chains in the samples with higher inter-particle friction coefficient tend to be more vulnerable to damage during loading. In the loading process, the average degree first increases, then decreases and finally tends to be stable. The value of average degree increases with the increase of confining pressure, and decreases with the increase of friction coefficient. The clustering coefficient of the particles within the force-chain particles is linearly related to the average length of the force chains at critical state.

• Periodical: Key Engineering Materials (Volume 803)
• Pages: 253-261
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.803.253
• Online since: May 2019
• Authors: Ran Xu, Enlong Liu*
• Keywords: Complex Network, Contact Network, DEM, Force Chain, Strain Softening

References

[1] Hosseininia S , Ehsan. Investigating the micromechanical evolutions within inherently anisotropic granular materials using discrete element method[J]. Granular Matter, 2012, 14(4):483-503.

DOI: 10.1007/s10035-012-0340-5

[2] Peters J F , Muthuswamy M , Wibowo J , et al. Characterization of force chains in granular material[J]. Physical Review E, 2005, 72(4):041307.

DOI: 10.1103/physreve.72.041307

[3] Jiang X, Liu E, Jiang L, et al. Evolution of meso-structures and mechanical properties of granular materials under triaxial compression state from complex network perspective[J]. Granular Matter, 2018, 20(3):54.

DOI: 10.1007/s10035-018-0827-9

[4] J. Tian, E. Liu, Effect of particle shape on micro and meso structure evolution of granular assemblies under biaxial loading conditions [J]. C. R. Mecanique (2018),https://doi.org/10.1016/j.crme.2018.08.013.

DOI: 10.1016/j.crme.2018.08.013

[5] Cao P, Liu E, Jiang L. Evolution of the Mesoscopic Parameters and Mechanical Properties of Granular Materials upon Loading[J]. Math-ematical Problems in Engineering,2017,(2017-12-25), 2017, 2017(4):1-12.

DOI: 10.1155/2017/9314689

[6] Chareyre B, Villard P. Discrete element modeling of curved geosynthetic anchorages with known macro-properties[C]// Proc. First Int. PFC Symposium, Gelsenkirchen, Germany. 2002:197–203.

DOI: 10.1201/9780203745335-26

[7] Smilauer V, Catalano E, Chareyre B, et al. Yade Documentation 2nd ed[J]. (2015).

[8] Fu Z, Chen S, Liu S. Discrete Element Simulations of Shallow Plate-Load Tests[J]. International Journal of Geomechanics, 2016, 16(3):04015077.

DOI: 10.1061/(asce)gm.1943-5622.0000588

[9] Jacobson D E, Valdes J R, Evans T M. A numerical view into Direct Shear Specimen Size Effects[J]. Geotechnical Testing Journal, 2007, 30(6):512-516.

DOI: 10.1520/gtj100923

[10] SHEN Zhi-fu, JIANG Min-jing, ZHU Fang-yuan, et al. Influence of the micro parameters of discrete element on the macro parameters of sands[J]. Northwestern Seismological Journal, 2011, 33(2): 160－165.

[11] Chareyre B, Briancon L, Villard P. Theoretical versus experimental modeling of the anchorage capacity of geotextiles in trenches[J]. Geosynthetics International, 2015, 9(9):97–123.

DOI: 10.1680/gein.9.0212

[12] Tordesllas A., Walker D.M. Lin Q..Force cycles and force chain[J].Physical Review E,2010,81(1):011302.

[13] Sun Q, Wang G, Hu K. Some open problems in granular matter mechanics[J]. Progress in Natural Science:Materials International, 2009, 19(5):523-529.

DOI: 10.1016/j.pnsc.2008.06.023

[14] Dorogovtsev S N, Mendes J F F. The shortest path to complex networks[J]. Physics, 2012, 71:47--53.

[15] Liu A J, Nagel S R. The Jamming Transition and the Marginally Jammed Solid[J]. Ann.rev.condens.matter Phys, 2010, 1(1):347-369.

DOI: 10.1146/annurev-conmatphys-070909-104045

[16] Bollobás B. Modern Graph Theory[J]. Graduate Texts in Mathematics, 1998, 184.

[17] Walker D M, Tordesllas A. Topological evolution in dense granular materials:A complex networks perspective[J]. International Journal of Solids & Structures,2010,47(5):624-639.

DOI: 10.1016/j.ijsolstr.2009.10.025

[18] Newman M E J. The structure and function of complex networks[J]. Siam Review, 2003, 45(2):167-256.

[19] Tordesillas A, Behringer B, Lin Q, et al. Structural Stability and Jamming of Self-Organized Cluster Conformations in Granular Materials[J]. Journal of the Mechanics & Physics of Solids, 2011, 59(2):265-296.

DOI: 10.1016/j.jmps.2010.10.007