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Study on meso-mechanical behavior of sand based on its 2D geometrical model

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Abstract

A comprehensive study on the meso-mechanical behaviors of sand with its 2D geometrical models was presented in this study. Based on the 2D geometrical models’ database of sand particles, quantitative analysis on the geometrical characteristics of the studied sand particles was performed A new clump generation algorithm based on fewer multiple overlapping circles was provided to accurately model the shape of sand particles, and was used to build the discrete element method (DEM) numerical model of the sand sample for DEM biaxial tests. The macro- and meso-mechanical behaviors of the studied sand samples were systematically analyzed. Deformation was mainly localized in a X-shaped shear zone, in which the particles experienced large displacements and rotations. Development of stress-induced anisotropy in particle and void orientations, as well as the mesoscopic fabric, was significant during the shearing process. Continuous collapse, generation, reduction, and extension of force chains occurred during the shearing process, especially after the peak stress was reached. This led to the fluctuations in the evolution of deviatoric stress and volumetric strain at macroscale, as well as the fabric anisotropy at mesoscale.

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References

  1. Mirghasemi A A, Rothenburg L, Matyas E L. Influence of particle shape on engineering properties of assemblies of two-dimensional polygon-shaped particles. Géotechnique, 2012, 52: 209–217

    Google Scholar 

  2. Yan W M, Zhang L. Fabric and the critical state of idealized granular assemblages subject to biaxial shear. Comput Geotech, 2013, 49: 43–52

    Google Scholar 

  3. Cates M E, Wittmer J P, Bouchaud J P, et al. Jamming, force chains, and fragile matter. Phys Rev Lett, 1998, 81: 1841–1844

    Google Scholar 

  4. Bi D, Zhang J, Chakraborty B, et al. Jamming by shear. Nature, 2011, 480: 355–358

    Google Scholar 

  5. Yang H, Xu W J, Sun Q C, et al. Study on the meso-structure development in direct shear tests of a granular material. Powder Technol, 2017, 314: 129–139

    Google Scholar 

  6. Yang J, Wei L M. Collapse of loose sand with the addition of fines: The role of particle shape. Géotechnique, 2012, 62: 1111–1125

    Google Scholar 

  7. Xie Y H, Yang Z X, Barreto D, et al. The influence of particle geometry and the intermediate stress ratio on the shear behavior of granular materials. Granular Matter, 2017, 19: 35

    Google Scholar 

  8. Xiao Y, Long L, Matthew Evans T, et al. Effect of particle shape on stress-dilatancy responses of medium-dense sands. J Geotech Geoenviron Eng, 2019, 145: 04018105

    Google Scholar 

  9. Oda M, Kazama H, Konishi J. Effects of induced anisotropy on the development of shear bands in granular materials. Mech Mater, 1998, 28: 103–111

    Google Scholar 

  10. Luding S. Anisotropy in cohesive, frictional granular media. J Phys-Condens Matter, 2005, 17: S2623–S2640

    MathSciNet  Google Scholar 

  11. Hosseininia E S. Investigating the micromechanical evolutions within inherently anisotropic granular materials using discrete element method. Granular Matter, 2007, 14: 483–503

    Google Scholar 

  12. Oda M, Koishikawa I, Higuchi T. Experimental study of anisotropic shear strength of sand by plane strain test. Soils Found, 1978, 18: 25–38

    Google Scholar 

  13. Lade P V, Nam J, Hong W P. Shear banding and cross-anisotropic behavior observed in laboratory sand tests with stress rotation. Can Geotech J, 2008, 45: 74–84

    Google Scholar 

  14. Rechenmacher A, Abedi S, Chupin O. Evolution of force chains in shear bands in sands. Géotechnique, 2010, 60: 343–351

    Google Scholar 

  15. Iwashita K, Oda M. Micro-deformation mechanism of shear banding process based on modified distinct element method. Powder Tech, 2000, 109: 192–205

    Google Scholar 

  16. Kuhn M R, Sun W C, Wang Q. Stress-induced anisotropy in granular materials: Fabric, stiffness, and permeability. Acta Geotech, 2015, 10: 399–419

    Google Scholar 

  17. Cundall P A, Strack O D L. A discrete numerical model for granular assemblies. Géotechnique, 1979, 29: 47–65

    Google Scholar 

  18. Kock I, Huhn K. Numerical investigation of localization and micromechanics in a stratified soil specimen. J Struct Geol, 2007, 29: 1679–1694

    Google Scholar 

  19. Garcia X, Latham J P, Xiang J, et al. A clustered overlapping sphere algorithm to represent real particles in discrete element modelling. Géotechnique, 2009, 59: 779–784

    Google Scholar 

  20. Rothenburg L, Bathurst R J. Influence of particle eccentricity on micromechanical behavior of granular materials. Mech Mater, 1993, 16: 141–152

    Google Scholar 

  21. Lin X, Ng T T. A three-dimensional discrete element model using arrays of ellipsoids. Géotechnique, 1997, 47: 319–329

    Google Scholar 

  22. Munjiza A, Peters J F, Hopkins M A, et al. A poly-ellipsoid particle for non-spherical discrete element method. Eng Computation, 2009, 26: 645–657

    Google Scholar 

  23. Thomas P A, Bray J D. Capturing nonspherical shape of granular media with disk clusters. J Geotech Geoenviron Eng, 1999, 125: 169–178

    Google Scholar 

  24. Yang Z X, Yang J, Wang L Z. Micro-scale modeling of anisotropy effects on undrained behavior ofgranular soils. Granular Matter, 2013, 15: 557–572

    Google Scholar 

  25. Li C Q, Xu W J, Meng Q S. Multi-sphere approximation of real particles for DEM simulation based on a modified greedy heuristic algorithm. Powder Technol, 2015, 286: 478–487

    Google Scholar 

  26. Jiang M D, Yang Z X, Barreto D, et al. The influence of particle-size distribution on critical state behavior of spherical and non-spherical particle assemblies. Granular Matter, 2018, 20: 80

    Google Scholar 

  27. Govender N, Wilke D N, Kok S. Collision detection of convex polyhedra on the NVIDIA GPU architecture for the discrete element method. Appl Math Comput, 2015, 267: 810–829

    MathSciNet  MATH  Google Scholar 

  28. Ting J M, Khwaja M, Meachum L R, et al. An ellipse-based discrete element model for granular materials. Int J Numer Anal Methods Geomech, 1993, 17: 603–623

    MATH  Google Scholar 

  29. Barrett P J. The shape of rock particles, a critical review. Sedimentology, 1980, 27: 291–303

    Google Scholar 

  30. Blott S J, Pye K. Particle shape: A review and new methods of characterization and classification. Sedimentology, 2007, 0: 31–63

    Google Scholar 

  31. Masad E, Button J W. Unified imaging approach for measuring aggregate angularity and texture. Comp-Aided Civil Eng, 2000, 15: 273–280

    Google Scholar 

  32. Bowman E T, Soga K, Drummond W. Particle shape characterisation using Fourier descriptor analysis. Géotechnique, 2001, 51: 545–554

    Google Scholar 

  33. Wettimuny R, Penumadu D. Application of fourier analysis to digital imaging for particle shape analysis. J Comput Civil Eng, 2004, 18: 2–9

    Google Scholar 

  34. Chandan C, Sivakumar K, Masad E, et al. Application of imaging techniques to geometry analysis ofaggregate particles. J Comput Civil Eng, 2004, 18: 75–82

    Google Scholar 

  35. Wang L, Wang X, Mohammad L, et al. Unified method to quantify aggregate shape angularity and texture using Fourier analysis. J Mater Civ Eng, 2005, 17: 498–504

    Google Scholar 

  36. Zheng J, Hryciw R D. Traditional soil particle sphericity, roundness and surface roughness by computational geometry. Géotechnique, 2015, 65: 494–506

    Google Scholar 

  37. Kozicki J, Donzé F V. A new open-source software developed for numerical simulations using discrete modeling methods. Comput Methods Appl Mech Eng, 2008, 197: 4429–4443

    MATH  Google Scholar 

  38. Kozicki J, Donzé F V. YADE-OPEN DEM: An open-source software using a discrete element method to simulate granular material. Eng Computation, 2009, 26: 786–805

    MATH  Google Scholar 

  39. Huang Z, Yang Z, Wang Z. Discrete element modeling of sand behavior in a biaxial shear test. J Zhejiang Univ Sci A, 2008, 9: 1176–1183

    Google Scholar 

  40. Kang D H, Yun T S, Lau Y M, et al. DEM simulation on soil creep and associated evolution of pore characteristics. Comput Geotech, 2012, 39: 98–106

    Google Scholar 

  41. Xu W J, Hu L M, Gao W. Random generation of the meso-structure of a soil-rock mixture and its application in the study of the mechanical behavior in a landslide dam. IntJ Rock Mech Min Sci, 2016, 86: 166–178

    Google Scholar 

  42. Yang Z X, Li X S, Yang J. Quantifying and modelling fabric anisotropy of granular soils. Géotechnique, 2008, 58: 237–248

    Google Scholar 

  43. Oda M, Nemat-nasser S, Konishi J. Stress-induced anisotropy in granular masses. Soils Found, 1985, 25: 85–97

    Google Scholar 

  44. Rothenburg L, Bathurst R J. Analytical study ofinduced anisotropy in idealized granular materials. Géotechnique, 1989, 39: 601–614

    Google Scholar 

  45. Bathurst R J, Rothenburg L. Observations on stress-force-fabric relationships in idealized granular materials. Mech Mater, 1990, 9: 65–80

    Google Scholar 

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Authors and Affiliations

  1. State Key Laboratory of Hydroscience and Hydraulic Engineering, Department of Hydraulic Engineering, Tsinghua University, Beijing, 100084, China

    WenJie Xu, ZeKang Feng & GuangYu Liu

  2. Department of Civil and Environmental Engineering, University of California, Davis, CA, 95616, USA

    Han Yang

Authors
  1. WenJie Xu
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  2. ZeKang Feng
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  3. Han Yang
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  4. GuangYu Liu
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Correspondence to WenJie Xu.

Additional information

This work was supported by the National Key Research and Development Program during the 13th Five-Year Plan of China (Grant No. 2017YFC0805406), and the National Natural Science Foundation of China (Grant Nos. 51879142, 51679123 & 51479095).

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Xu, W., Feng, Z., Yang, H. et al. Study on meso-mechanical behavior of sand based on its 2D geometrical model. Sci. China Technol. Sci. 63, 777–790 (2020). https://doi.org/10.1007/s11431-019-9598-2

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  • DOI: https://doi.org/10.1007/s11431-019-9598-2

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