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A Three Dimensional Discrete Constitutive Model for Over Coarse Grained Soil

  • Yan Zongling
  • Gou Dongyuan
  • Chai Hejun
Conference paper
Part of the Sustainable Civil Infrastructures book series (SUCI)

Abstract

Over Coarse Grained Soil is widely used as filling material for subgrade in mountainous highway, and the settlement and stabilization of high embankment settlement is critical to operation safety of mountainous highway. The constitutive relationship of over coarse grained soil is theoretical basis for settlement and stability analysis. So a rigid contact model for over coarse grained soil particles is established combined with the distribution of contact force and normal of contact force based on the research of contact characteristics of particles and ignoring the deformation of particle. The local constitutive model is acquired after analyzing the relationship between contact force of particles and local stress in over coarse grained soil. Furthermore, a three dimensional discrete constitutive model is built up. It is proved through discrete constitutive model that the fabric will change during the deformation of over coarse grained soil which results the change of physical and mechanical characteristics. The change of fabric affects the macro mechanical responses characteristics of over coarse grained soil.

Keywords

Embankment subgrade Over course grained soils Discrete granular soil particle Fabric Constitutive model 

Notes

Acknowledgements

The authors gratefully acknowledge the financial supports from the National Science and Technology Support Plan under Grant No. 2015BAK09B01, from the National key research and development plan under Grant No. 2016YFC0802203, from the Natural Science Foundation Project of Chongqing Science & Technology Commission of China under Grant No. CSTC2013jcyj A300081, respectively.

References

  1. Luan, M.T., Ugai, K.: Thinking on some fundamental mechanics issues in geotechnical engineering. J. Dalian Univ. Technol. 39(2), 309–316 (1999)Google Scholar
  2. Arthur, J.R.F., Dunstan, T., Al-Ani, Q.A.J.L., Assadi, A.: Plastic deformation and failure in granular media. Géotechnique 27(1), 53–74 (1977)CrossRefGoogle Scholar
  3. Mahmood, A., Mitchell, J.K.: Fabric-property relationships in fine granular materials. Clays Clay Miner. 22(5), 197–208 (1974)CrossRefGoogle Scholar
  4. Oda, M.: Co-ordination number and its relation to shear strength of granular materials. Soil Fdn. 12(2), 29–42 (1977)CrossRefGoogle Scholar
  5. Oda, M., Konishi, J., Nemat-Nasser, S.: Some experimentally based fundamental results on the mechanical behaviour of granular materials. Géotechnique 30(4), 479–495 (1980)CrossRefGoogle Scholar
  6. Chang, C.S., Ma, L.: Modeling of discrete granulates as micropolar continua. J. Eng. Mech. 116(12), 2703–2721 (1990)CrossRefGoogle Scholar
  7. Oda, M.: The mechanism of fabric changes during compression deformation of sand. Soil Fdn. 12(2), 1–18 (1972)CrossRefGoogle Scholar
  8. Oda, M.: Initial fabrics and their relations to mechanical properties of granular materials. Soil Fdn. 12(1), 17–36 (1972a)Google Scholar
  9. Oda, M.: Deformation mechanism of sand in triaxial compression test. Soil Fdn. 12(4), 45–63 (1972b)Google Scholar
  10. Stake, M.: Fundamental quantities in the graph approach to granular materials. In: Jechins, J.T., Stake, M. (eds.) Mechanics of Granular Materials, pp. 9–20 (1983)Google Scholar
  11. Chang, C.S.: Strain tensor and deformation for granular material. J. Eng. Mech. 116(4), 790–804 (April 1988) CrossRefGoogle Scholar
  12. Chang, C.S.: Micromechanical modelling of constitutive relation for granular materials. In: Stake, Jenkin J.T. (eds.) Micromechanics of Granular Materials, pp. 271–278 (1988)Google Scholar
  13. Mao, J.: Preliminary study of mechanical model and calculation method of stress for granular medium. In: Proceedings of geotechnical engineering mechanics and its application symposium for young scholars of China. Wuhan (1994)Google Scholar
  14. Zhong, X., Yuan, J.: Microfabrics and constitutive relations of granular materials. Chinese J. Geot. Eng. 14(S1), 39–48 (1992)Google Scholar
  15. Mindlin, R.D., et al.: Elastic sphere in contact under varying oblique forces. J. Appl. Mech. Eng. 20(3), 327–344 (1953)Google Scholar
  16. Wang, M., Qian, Q.: A study on the elastoplastic dynamic constitutive law of granular medium. Acta Mech. Solid Sinica 16(2), 175–180 (1995)Google Scholar
  17. Gladwell, G.M.L.: Contact Problem of Classical Elastic Theory. Peking University Press (1991) Google Scholar
  18. Rothenburb, L., Bathurst, R.J.: Analytical study of induced anisotropy in idealized granular materials. Geotechnique 39(4), 601–614 (1988)CrossRefGoogle Scholar
  19. Bathurs, R.J., Rothenburb, L.: Micromechanical aspects of isotropic granular assemblies with linear contact interaction. J. Appl. Mech. 55(1), 17–23 (1988)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.National Local Joint Engineering Laboratory for Road Engineering and Disaster Prevention and Reduction Technology in Mountainous AreasChongqingPeople’s Republic of China
  2. 2.National Engineering & Research Center for Highways in Mountain AreaChongqingPeople’s Republic of China

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