Skip to main content
Log in

RETRACTED ARTICLE: Unsaturated dynamic constitutive model under cyclic loading

  • Published:
Cluster Computing Aims and scope Submit manuscript

This article was retracted on 22 August 2023

This article has been updated

Abstract

Settlement and deformation problems in the Western Sichuan area often occur in embankments consisting of mixed soil. Soil-accumulated deformation under traffic loads could be described by establishing a dynamic constitutive model under cyclic loading. This study elaborates on an unsaturated dynamic constitutive model (MUD model) for mixed soil within the framework of the elastic–plastic bounding surface model combined with a real description of the unsaturated soil collapsible performance loading-collapse yield curve based on the mapping rule of a mobile mapping origin. This study also considers the two main influencing factors of unsaturated state and fine particle content and takes the classic modified Cambridge model as a plastic potential equation. The comparisons between the experimental results and the model simulations show that the elaborated model is capable of describing the unsaturated deformation behaviours under static and cyclic loading and predicting the phenomenon of hysteretic properties.

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

Similar content being viewed by others

Change history

References

  1. Tarumi, N., Sunaga, M.: Behaviors of low embankments on soft grounds during train passage. Proc. JSCF 1998(400), 1–11 (1988)

    Google Scholar 

  2. Miura, N., Fujikawa, K., Sakai, A.: Field measurement of settlement in Saga airport highway subjected to traffic load. Soil Mech. Found. Eng. 43(6), 49–51 (1995)

    Google Scholar 

  3. Ling, J.M., Wang, W., Wu, H.B.: On residual deformation of saturated clay subgrade under vehicle load. J. Tongji Univ. 30(11), 1315–1320 (2002)

    Google Scholar 

  4. Ye, Y.D., Zhe, H.H., Wang, R.L.: Analysis on the current status of metro operating tunnel damage in soft ground and its causes. Chin. J. Undergr. Space Eng. 3(1), 157–160 (2007)

    Google Scholar 

  5. Yin, Y.P.: Features of landslides triggered by the Wenchuan earthquake. J. Eng. Geol. 17(1), 29–38 (2009)

    MathSciNet  Google Scholar 

  6. Ding, Z.Y., Feng, T.G., Zhou, J., Li, H.: Experimental study of influence of fine particle content on dynamic properties of saturated silty soil. Yellow River 35(3), 138–140 (2013)

    Google Scholar 

  7. Zheng, Q.: Experimental Study on the Influence of Percent Fines on the Dynamic Properties of silt [Master Thesis D]. Zhejiang University of Technology, Hangzhou (2014)

    Google Scholar 

  8. Vaid, Y.P., Eliadorani, A.: Instability and liquefaction of granular soils under undrained and partially drained states. Can. Geotech. J. 35, 1053–1062 (1998)

    Article  Google Scholar 

  9. Leong, W.K., Chu, J., The, C.I.: Liquefaction and instability of a granular fill material. Geotech. Test. J. 23(2), 178–192 (2000)

    Article  Google Scholar 

  10. Chu, J., Leroueil, S., Leong, W.K.: Unstable behavior of sand and its implication for slope instability. Can. Geotech. J. 40, 873–885 (2003)

    Article  Google Scholar 

  11. Karam, J.P., Cui, Y.J., Tang, A.M., Terpereau, J.M., Marchadier, G.: Experimental study on the cyclic resistance of a natural loess from northern france. Soils Found. 49(3), 421–429 (2009)

    Article  Google Scholar 

  12. Alonso, E.E., Gens, A., Josa, A.: A constitutive model for partially saturated soils. Geotechnique 40(3), 405–430 (1990)

    Article  Google Scholar 

  13. Wheeler, S.J., Sharma, R.S., Buisson, M.S.R.: Coupling of hydraulic hysteresis and stress-strain behavior in unsaturated soils. Geotechnique 53(1), 41–54 (2003)

    Article  Google Scholar 

  14. Pedroso, D.M., Farias, M.M.: Extended Barcelona basic model for unsaturated soils under cyclic loadings. Comput. Geotech. 38, 731–740 (2011)

    Article  Google Scholar 

  15. Qin, L.K.: Dynamic model of unsaturated loess and it’s applieation to the seismie response of subway station, PhD Thesis D, Chang’an University, Xi’an (2010)

  16. Yang, C., Cui, Y.J., Pereira, J.M., Huang, M.S.: A constitutive model for unsaturated cemented soils under cyclic loading. Comput. Geotech. 35(6), 853–859 (2008)

    Article  Google Scholar 

  17. Yang, C., Huang, M.S., Cui, Y.J.: Constitutive Model of Unsaturated Structured Soils Under Cyclic Loading. Taylor and Francis Group, London (2011)

    Google Scholar 

  18. Bin, G., Sun, X.M., Sheng, V.S.: Structural minimax probability machine. IEEE Trans. Neural Netw. Learn. Syst. (2016). doi:10.1109/TNNLS.2544779

  19. Guo, P., Wang, J., Geng, X.H., Kim, C.S., Kim, J.U.: A variable threshold-value authentication architecture for wireless mesh networks. J. Internet Technol. 15(6), 929–936 (2014)

    Google Scholar 

  20. Shen, J., Tan, H.W., Wang, J., Wang, J.W., Lee, S.Y.: A novel routing protocol providing good transmission reliability in underwater sensor networks. J. Internet Technol. 16(1), 171–178 (2015)

    Google Scholar 

  21. Fu, Z.J., Sun, X.M., Liu, Q., Zhou, L., Shu, J.G.: Achieving efficient cloud search services: multi-keyword ranked search over encrypted cloud data supporting parallel computing. IEICE Trans. Commun. E98–B(1), 190–200 (2015)

    Article  Google Scholar 

  22. Ren, Y.J., Shen, J., Wang, J., Han, J., Lee, S.Y.: Mutual verifiable provable data auditing in public cloud storage. J. Internet Technol. 16(2), 317–323 (2015)

    Google Scholar 

  23. Gu, B., Sheng, V.S., Wang, Z.J., Li, S.: Incremental learning for \(\nu \)-support vector regression. Neural Netw. 67, 140–150 (2015)

    Article  MATH  Google Scholar 

  24. Li, J., Li, X.L., Yang, B., Sun, X.M.: Segmentation-based Image copy-move forgery detection scheme. IEEE Trans. Inf. Forensics Secur. 10(3), 507–518 (2015)

    Article  Google Scholar 

  25. Gu, B., Sheng, V.S., Tay, K.Y., Romano, W., Li, S.: Incremental support vector learning for ordinal regression. IEEE Trans. Neural Netw. Learn. Syst. 26(7), 1403–1416 (2015)

    Article  MathSciNet  Google Scholar 

  26. Pan, Z.Q., Zhang, Y., Kwong, S.: Efficient motion and disparity estimation optimization for low complexity multiview video coding. IEEE Trans. Broadcast. 61(2), 166–176 (2015)

    Article  Google Scholar 

  27. Xia, Z.H., Wang, X.H., Sun, X.M., Wang, Q.: A secure and dynamic multi-keyword ranked search scheme over encrypted cloud data. IEEE Trans. Parallel Distrib. Syst. 27(2), 340–352 (2015)

    Article  Google Scholar 

  28. Fu, Z.J., Ren, K., Shu, J.G., Sun, X.M., Huang, F.X.: Enabling personalized search over encrypted outsourced data with efficiency improvement. IEEE Trans. Parallel Distrib. Syst. (2015). doi:10.1109/TPDS.2015.2506573

  29. Gu, B., Sheng, V.S.: A robust regularization path algorithm for \(\nu \)-support vector classification. IEEE Trans. Neural Netw. Learn. Syst. (2016). doi:10.1109/TNNLS.2016.2527796

  30. Song, H.B., Maité, B.P.: Range of influence and impact of physical impairments in long-haul DWDM systems. J. Lightwave Technol. 31(15), 846–854 (2013)

    Article  Google Scholar 

  31. Song, H.B., Brandt-Pearce, M.: Model-centric nonlinear equalizer for coherent long-haul fiber-optic communication systems. Global Communications Conference (GLOBECOM), IEEE (2013)

  32. Wei, W., Qi, Y.: Information potential fields navigation in wireless Ad-Hoc sensor networks. Sensors 11(5), 4794–4807 (2011)

    Article  Google Scholar 

  33. Wei, W., Xu, Q., Wang, L., Hei, X.H., Shen, P., Shi, W., Shan, L.: GI/Geom/1 queue based on communication model for mesh networks. Int. J. Commun. Syst. 27(11), 3013–3029 (2014)

    Google Scholar 

  34. Song, H.B., Brandt-Pearce, M.: Range of influence of physical impairments in wavelength-division multiplexed systems. Global Telecommunications Conference (GLOBECOM 2011), IEEE (2011)

  35. Song, H.B., Brandt-Pearce, M.: A discrete-time polynomial model of single channel long-haul fiber-optic communication systems. 2011 IEEE International Conference on Communications (ICC), IEEE (2011)

  36. Wei, W., Fan, X., Song, H., Fan, X., Yang, J.: Imperfect information dynamic stackelberg game based resource allocation using hidden Markov for cloud computing. IEEE Trans. Serv. Comput. PP(99), 1 (2016). doi:10.1109/TSC.2528246

    Article  Google Scholar 

  37. Wei, W., Yang, X.L., Shen, P.Y., Zhou, B.: Holes detection in anisotropic sensornets: Topological methods. Int. J. Distrib. Sensor Netw. (2012). doi:10.1155/2012/135054

  38. Zhou, Q.: Experimental study of unsaturated strength characteristics for chuanxi talus mixed soil, Master Thesis D, Southwest Jiaotong University, Chengdu (2012)

  39. Wheeler, S.J., Sivakumar, V.: An elasto-plastic critical state framework for unsaturated soil. Geotechnique 45(1), 35–53 (1995)

    Article  Google Scholar 

  40. Van Genuchten, M.T.H.: A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44, 892–898 (1980)

    Article  Google Scholar 

  41. Lambe, T.W., Whitman, R.V.: Soil Mechanics. Wiley, New York (1969)

    Google Scholar 

  42. Mitchell, J.K.: Fundamentals of Soil Behaviour. Wiley, New York (1976)

    Google Scholar 

  43. Roscoe, K.H., Burland, J.B.: On the Generalized Stress–Strain Behavior of ‘Wet’ Clay. In: Engineering Plasticity, pp. 535–609. Cambridge University Press, London (1968)

  44. Huang, M.S., Yang, C., Cui, Y.J.: Elasto-plastic bounding surface model for unsaturated soils under cyclic loading. Chin. J. Geotech. Eng. 31(6), 817–823 (2009)

    Google Scholar 

  45. Dafalias, Y.F., Herrmann, L.R.: Bouding surface formulation of soil plasticity. In: Soil Mechanics Transient and Cyclic Loads, pp. 253–282. Wiley, New York (1982)

  46. Kuerbis, R.H.: The effect of gradation and fines content in the undrained loading response of sand. Master of Applied Science dissertation, University of British Columbia, Vancouver, Canada (1989)

Download references

Acknowledgements

This paper was supported by the National Natural Science Foundation of China (Grant No. 41572245).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kai Cui.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cui, K., Zhao, T. RETRACTED ARTICLE: Unsaturated dynamic constitutive model under cyclic loading. Cluster Comput 20, 2869–2879 (2017). https://doi.org/10.1007/s10586-017-0881-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10586-017-0881-9

Keywords

Navigation