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Microscopic study on stress-strain relation of granular materials

  • Articles / Condensed Matter Physics
  • Published:
Chinese Science Bulletin

Abstract

A biaxial shearing test on granular materials is numerically simulated by distinct element method (DEM). The evolution of the microstructures of granular materials during isotropic compression and shearing is investigated, on which a yield function is derived. The new yield function has a similar form as the one used in the modified Cam-clay model and explains the yield characteristics of granular materials under the isotropic compression and shear process through the change of the contact distribution N(θ) defining the contacts at particle contact angle θ.

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References

  1. Oda M. Initial fabrics and their relations to mechanical properties of granular material. Soils Found, 1972, 12: 17–36

    Google Scholar 

  2. Matsuoka H. A microscopic study on shear mechanism of granular materials. Soils Found, 1974, 14: 29–43

    Google Scholar 

  3. Wang Y Y, Zhang Q D, Chen X Q, et al. Stress-strain self-organization Critical properties of debris flow (in Chinese). Chinese Sci Bull (Chinese Ver), 2003, 48: 976–980

    Google Scholar 

  4. Zhao C G, Zhang X D. Derivation of the work expression and discussion on the effective principle and the phase separation theorem in unsaturated soil. Sci China Ser E-Tech Sci, 2008, 51: 1530–1541

    Article  Google Scholar 

  5. Zheng M S, Jin Z H. Spatially-cyclic function method of thermal stress analysis on grain intensified material (in Chinese). Chinese Sci Bull (Chinese Ver), 1994, 39: 1241–1245

    Google Scholar 

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

    Article  Google Scholar 

  7. Liu S H, Matsuoka H. Microscopic interpretation on a stress-dilatancy relationship of granular materials. Soils Found, 2003, 43: 73–84

    Google Scholar 

  8. Liu S H. Simulating direct shear test by DEM. Canad Geotech J, 2006, 43: 155–168

    Article  Google Scholar 

  9. Liu S H, Sun D A. Simulating the collapse of unsaturated soil by DEM. Int J Numer Anal Meth Geomech, 2002, 26: 633–646

    Article  Google Scholar 

  10. Liu S H, Sun D A, Wang Y S. Numerical study of soil collapse behaviors by discrete element modeling. Comput Geotech, 2003, 30: 399–408

    Article  Google Scholar 

  11. Chen H, Liu S H. Failure characteristics and stabilization methods. Canad Geotech J, 2007, 44: 377–391

    Article  Google Scholar 

  12. Liu S H, Bauer E. A microscopic study of rainfall-induced granular slope failure. In: Proceedings of the 3rd Asian Conference on Unsaturated Soils, Nanjing, China, 2007. 379–383

  13. Zhou J, Chi Y W, Chi Y, et al. Simulation of biaxial test on sand by particle flow code (in Chinese). Chinese J Geotech Eng, 2000, 22: 701–704

    Google Scholar 

  14. Liu Y, Wu S C, Zhou J. Numerical simulation of sand deformation under monotonic loading and mesomechanical analysis (in Chinese). Rock Soil Mech, 2008, 29: 3199–3207

    Google Scholar 

  15. Roak R J. Formulas for stress and strain. 4th ed. New York: McGraw-Hill, 1965. 319–321

    Google Scholar 

  16. Liu S H, Lu T H. Microscopic shear mechanism of granular materials in simple shear by DEM (in Chinese). Chinese J Geotech Eng, 2000, 22: 608–611

    Google Scholar 

  17. Liu S H, Xu Y F. Numerical simulation for a direct box shear test on granular marerial and microscopic consideration (in Chinese). Chinese J Rock Mech Eng, 2001, 20: 288–292

    Google Scholar 

  18. Satake M. Fabric tensor in granular materials. In: IUTAM Conference on Deformation and Flow of Granular Materials, 1982, 63–68

  19. Xie D Y, Qi J L. Soil structure characteristics and new approach in research on its quantitative parameter (in Chinese). Chinese J Geotech Eng, 1999, 21: 651–656

    Google Scholar 

  20. Matsuoka H, Takeda K. A stress-strain relationship for granular materials derived from microscopic shear mechanism. Soils Found, 1980, 20: 45–58

    Google Scholar 

  21. Matsuoka H, Yamamoto S. A microscopic study on shear mechanism of granular materials by DEM (in Japanese). J Geotech Eng, 1994, 487/III-26: 167–175

    Google Scholar 

  22. Oda M, Konishi J, Nemat-Nasser S. Experimental micromechanical evaluation of granular materials: Effects of particle rolling. Mech Mater, 1982, 1: 269–283

    Article  Google Scholar 

  23. Roscoe K H, Burland J B. On the generalized stress-strain behavior of ‘wet’ clay. In: Engineering Plasticity. Cambridge: Cambridge University Press, 1968. 535–609

    Google Scholar 

  24. Roscoe K H, Schofield A N, Thurairajah A. Yielding of clay in states wetter than critical. Geotechnique, 1963, 13: 221–240

    Google Scholar 

  25. Huang W X, Pu J L, Chen Y J. Hardening rule and yield function for soil. In: Proceedings of the 10th International Conference on Soil Mechanics and Foundations Engineering, 1981. 631–634

  26. Matsuoka H, Akashi Y, Itoh K, et al. Deformation of yield surface based on fabric of granular material and its experimental check. In: Proceedings of the 30th Japan National Conference on Soil Mechanics and Foundations Engineering, 1995. 579–582

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Authors and Affiliations

  1. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing, 210098, China

    SiHong Liu, TieJun Li & MinZhi Liu

  2. Department of Civil Engineering, Beihang University, Beijing, 100191, China

    YangPing Yao

  3. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing, 100084, China

    QiCheng Sun

Authors
  1. SiHong Liu
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  2. YangPing Yao
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  3. QiCheng Sun
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  4. TieJun Li
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  5. MinZhi Liu
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Corresponding author

Correspondence to SiHong Liu.

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Supported by the National Natural Science Foundation of China (Grant Nos. 10672050, 10872016)

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Liu, S., Yao, Y., Sun, Q. et al. Microscopic study on stress-strain relation of granular materials. Chin. Sci. Bull. 54, 4349–4357 (2009). https://doi.org/10.1007/s11434-009-0599-z

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  • DOI: https://doi.org/10.1007/s11434-009-0599-z

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