Skip to main content
Log in

On non-coaxiality and fabric evolution of granular media in circular shear simulated by DEM

  • Original Report
  • Published:
Granular Matter Aims and scope Submit manuscript

Abstract

The non-coaxiality of monotonous loading for granular materials has been studied in laboratory tests and simulations using the discrete element method (DEM). However, the non-coaxiality and its relation to the fabric evolution under the stress path of circular rotational shear in the deviatoric plane remain largely unanswered. To address this issue, we report a series of true triaxial DEM simulations on initial isotropic samples to investigate the effects of stress-induced anisotropy on non-coaxiality and its fabric evolution. The mechanical behavior was captured by continuously changing the Lode angle \(\theta _\sigma\) under a wide range of confining pressure \(\sigma _c\), while the deviatoric stress q remains constant. In addition, the role of inter-particle friction on the non-coaxial response has been explored to elaborate on the effects of the changing of micro-structure on the macro-mechanical performance. Simulation results indicate that the non-coaxiality is the function of the stress ratio \(\eta\), confining pressure \(\sigma _c\), and inter-particle friction, which could be related to the orientation variation of contact fabric. The deviation of \(\theta _{\text {d}\varvec{\varepsilon }}\) from the loading direction \(\theta _{\text {d}\varvec{\sigma }}\) gradually increase as the rise of stress ratio \(\eta\), while it shows an obvious decrease trend with the increase of confining pressure \(\sigma _c\) and inter-particle friction coefficient \(\mu\). As for fabric evolution, it verifies the correlation between the non-coaxial response and fabric evolution in rotational shear. The directional evolution of incremental fabric \(\theta _{\text {d}\varvec{F}}\) are sensitive to stress ratio \(\eta\), while it is insensitive to confining pressure \(\sigma _c\) and inter-particle friction coefficient \(\mu\) than the non-coaxial response.

Graphical Abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22

Similar content being viewed by others

References

  1. Wang, Z., Dafalias, Y.F., Shen, C.: Bounding surface hypoplasticity model for sand. J. Eng. Mech. 116(5), 983–1001 (1990). https://doi.org/10.1061/(ASCE)0733-9399(1990)116:5(983)

    Article  Google Scholar 

  2. Roscoe, K.H.: The influence of strains in soil mechanics. Géotechnique 20(2), 129–170 (1970). https://doi.org/10.1680/geot.1970.20.2.129

    Article  Google Scholar 

  3. Oda, M., Konishi, J.: Microscopic deformation mechanism of granular material in simple shear. Soils Found. 14(4), 25–38 (1974). https://doi.org/10.3208/sandf1972.14.4_25

    Article  Google Scholar 

  4. Ishihara, K., Yamazaki, F.: Cyclic simple shear tests on saturated sand in multi-directional loading. Soils Found 20(1), 45–59 (1980). https://doi.org/10.3208/sandf1972.20.45

    Article  Google Scholar 

  5. Li, Y., Yang, Y., Yu, H.-S., Roberts, G.: Principal stress rotation under bidirectional simple shear loadings. KSCE J. Civil Eng. 22(5), 1651–1660 (2018). https://doi.org/10.1007/s12205-017-0822-4

    Article  Google Scholar 

  6. Miura, K., Miura, S., Toki, S.: Deformation behavior of anisotropic dense sand under principal stress axes rotation. Soils Found. 26(1), 36–52 (1986). https://doi.org/10.3208/sandf1972.26.36

    Article  Google Scholar 

  7. Gutierrez, M., Ishihara, K., Towhata, I.: Flow theory for sand during rotation of principal stress direction. Soils Found. 31(4), 121–132 (1991). https://doi.org/10.3208/sandf1972.31.4_121

    Article  Google Scholar 

  8. Yang, L.-T., Li, X., Yu, H.-S., Wanatowski, D.: A laboratory study of anisotropic geomaterials incorporating recent micromechanical understanding. Acta Geotech. 11(5), 1111–1129 (2016). https://doi.org/10.1007/s11440-015-0423-7

    Article  Google Scholar 

  9. Tong, Z.-X., Zhang, J.-M., Yu, Y.-L., Zhang, G.: Drained deformation behavior of anisotropic sands during cyclic rotation of principal stress axes. J. Geotech. Geoenviron. Eng. 136(11), 1509–1518 (2010). https://doi.org/10.1061/(ASCE)GT.1943-5606.0000378

    Article  Google Scholar 

  10. Zhang, J.-M., Tong, Z.-X., Yu, Y.-L.: Effects of cyclic rotation of principal stress axes and intermediate principal stress parameter on the deformation behavior of sands. In: Geotechnical Earthquake Engineering and Soil Dynamics IV, pp. 1–10. American Society of Civil Engineers, Sacramento, California, United States (2008). https://doi.org/10.1061/40975(318)49

  11. Cai, Y., Yu, H.-S., Wanatowski, D., Li, X.: Noncoaxial behavior of sand under various stress paths. J. Geotech. Geoenviron. Eng. 139(8), 1381–1395 (2013). https://doi.org/10.1061/(ASCE)GT.1943-5606.0000854

    Article  Google Scholar 

  12. Xiong, H., Guo, L., Cai, Y., Yang, Z.: Experimental study of drained anisotropy of granular soils involving rotation of principal stress direction. Eur. J. Environ. Civil Eng. 20(4), 431–454 (2016). https://doi.org/10.1080/19648189.2015.1039662

    Article  Google Scholar 

  13. Ishihara, K., Towhata, I.: Sand response to cyclic rotation of principal stress directions as induced by wave loads. Soils Found. 23(4), 11–26 (1983). https://doi.org/10.3208/sandf1972.23.4_11

    Article  Google Scholar 

  14. Ishihara, K., Yamazaki, A.: Analysis of wave-induced liquefaction in seabed deposits of sand. Soils Found. 24(3), 85–100 (1984). https://doi.org/10.3208/sandf1972.24.3_85

    Article  Google Scholar 

  15. Towhata, I., Ishihara, K.: Undrained strength of sand undergoing cyclic rotation of principal stress axes. Soils Found. 25(2), 135–147 (1985). https://doi.org/10.3208/sandf1972.25.2_135

    Article  Google Scholar 

  16. Yang, Z.X., Li, X.S., Yang, J.: Undrained anisotropy and rotational shear in granular soil. Géotechnique 57(4), 371–384 (2007). https://doi.org/10.1680/geot.2007.57.4.371

    Article  Google Scholar 

  17. Yamada, Y., Ishihara, K.: Undrained deformation characteristics of sand in multi-directional shear. Soils Found. 23(1), 61–79 (1983). https://doi.org/10.3208/sandf1972.23.61

    Article  Google Scholar 

  18. Matsuoka, H., Koyama, H., Yamazaki, H.: A constitutive equation for sands and its application to analyses of rotational stress paths and liquefaction resistance. Soils Found. 25(1), 27–42 (1985). https://doi.org/10.3208/sandf1972.25.27

    Article  Google Scholar 

  19. Phusing, D., Suzuki, K.: Cyclic behaviors of granular materials under generalized stress condition using DEM. J. Eng. Mech. 141(10), 04015034 (2015). https://doi.org/10.1061/(ASCE)EM.1943-7889.0000921

    Article  Google Scholar 

  20. Phusing, D., Suzuki, K., Zaman, M.: Mechanical behavior of granular materials under continuously varying b values using DEM. Int. J. Geomech. 16(1), 04015027 (2016). https://doi.org/10.1061/(ASCE)GM.1943-5622.0000506

    Article  Google Scholar 

  21. Antony, S.J., Kruyt, N.P.: Role of interparticle friction and particle-scale elasticity in the shear-strength mechanism of three-dimensional granular media. Phys. Rev. 79(3 Pt 1), 031308 (2009). https://doi.org/10.1103/PhysRevE.79.031308

    Article  ADS  Google Scholar 

  22. Barreto, D., O’Sullivan, C.: The influence of inter-particle friction and the intermediate stress ratio on soil response under generalised stress conditions. Granular Matter 14, 505–521 (2012). https://doi.org/10.1007/S10035-012-0354-Z

    Article  Google Scholar 

  23. Yang, Z.X., Yang, J., Wang, L.Z.: On the influence of inter-particle friction and dilatancy in granular materials: a numerical analysis. Granular Matter 14(3), 433–447 (2012). https://doi.org/10.1007/s10035-012-0348-x

    Article  Google Scholar 

  24. Dai, B.B., Yang, J., Zhou, C.Y.: Observed effects of interparticle friction and particle size on shear behavior of granular materials. Int. J. Geomech. 16(1), 04015011 (2016). https://doi.org/10.1061/(ASCE)GM.1943-5622.0000520

    Article  Google Scholar 

  25. Zhou, W., Yang, S., Liu, J., Ma, G., Qi, T., Lin, M.: Effect of inter-particle friction on 3d accordance of stress, strain, and fabric in granular materials. Acta Geotech. 17(7), 2735–2750 (2022). https://doi.org/10.1007/s11440-021-01371-x

    Article  Google Scholar 

  26. Liu, J., Zhou, W., Ma, G., Yang, S., Chang, X.: Strong contacts, connectivity and fabric anisotropy in granular materials: A 3d perspective. Powder Technol. 366, 747–760 (2020). https://doi.org/10.1016/j.powtec.2020.03.018

    Article  Google Scholar 

  27. Cundall, P.A., Strack, O.D.L.: A discrete numerical model for granular assemblies. Géotechnique 29(1), 47–65 (1979). https://doi.org/10.1680/geot.1979.29.1.47

    Article  Google Scholar 

  28. Li, X.-F., He, Y.-Q., Liu, J.-F., He, W.-G.: Quantitative analysis of amplitude parameters for orthotropic fabric sand. Rock Soil Mech. 38, 3619–3626 (2017)

    Google Scholar 

Download references

Acknowledgements

The research was funded by the National Natural Science Foundation of China (Grant No. 12162028), the Project for Leading Talents of Science and Technology Innovation of Ningxia (Grant No. KJT2019001), and the Key R &D Program of Ningxia Hui Autonomous Region Projects of International Cooperation and Exchanges (Grant No. 2018DWHZ0084), which are gratefully acknowledged.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xuefeng Li.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, K., Li, X. On non-coaxiality and fabric evolution of granular media in circular shear simulated by DEM. Granular Matter 25, 48 (2023). https://doi.org/10.1007/s10035-023-01335-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10035-023-01335-w

Keywords

Navigation