Investigation on the behavior of frozen silty clay subjected to monotonic and cyclic triaxial loading

  • Xiangtian Xu
  • Qionglin LiEmail author
  • Guofang Xu
Research Paper


This paper aims to assess the characteristics of the deformation and strength behavior of frozen soils at different temperatures under monotonic and cyclic triaxial conditions. The deformation and failure patterns of the specimens change from ductility to brittleness with decreasing temperatures under both monotonic and cyclic loadings. The development of axial strain and stiffness with increasing number of cycles for the soils under cyclic loading is presented and analyzed in detail. A collapse behavior in strength and stiffness is observed in tests of frozen soils at − 5 °C, − 7 °C and − 9 °C. The difference in frictional sliding between the samples with high ductility and those with high brittleness is attributed to the different patterns of deformation and failure. The dynamic modulus is plotted versus axial strain, and the state where the stiffness begins to decrease is employed as the criterion of cyclic failure. The proposed criterion of cyclic failure is verified to be more suitable for frozen soils with high brittleness and seems to be consistent with the peak strength under monotonic loading. Finally, the cyclic stress ratios are plotted against the number of cycles up to this failure criterion, and the effect of temperatures on cyclic strength is evaluated.


Cyclic strength Deformation mechanism Frozen soils Stiffness Triaxial test 



The authors appreciate the valuable comments from the anonymous reviewers which made the submitted paper very much improved. The authors also gratefully acknowledge the financial support of (1) the National Nature Science Foundation of China (Grant Nos. 51708522, 51769018, 51879131, 41627801 and 11702304), (2) the Heilongjiang Provincial Nature Science Foundation of China (Grant No. E2018059) and (3) the project supported by science and technology department of Jiangxi province of China (Grant No. 20161BBG70084).


  1. 1.
    Al-Hunaidi M, Chen P, Rainer J, Tremblay M (1996) Shear moduli and damping in frozen and unfrozen clay by resonant column tests. Can Geotech J 33(3):510–514Google Scholar
  2. 2.
    Andersen GR, Swan CW, Ladd CC, Germaine JT (1995) Small-strain behavior of frozen sand in triaxial compression. Can Geotech J 32(3):428–451Google Scholar
  3. 3.
    Arenson LU, Springman SM (2005) Mathematical descriptions for the behaviour of ice-rich frozen soils at temperatures close to 0 C. Can Geotech J 42(2):431–442Google Scholar
  4. 4.
    Arenson LU, Springman SM (2005) Triaxial constant stress and constant strain rate tests on ice-rich permafrost samples. Can Geotech J 42(2):412–430Google Scholar
  5. 5.
    Chamberlain E, Groves C, Perham R (1972) The mechanical behaviour of frozen earth materials under high pressure triaxial test conditions. Geotechnique 22:469–483Google Scholar
  6. 6.
    Cheng G (2005) A roadbed cooling approach for the construction of Qinghai-Tibet Railway. Cold Reg Sci Technol 42(2):169–176Google Scholar
  7. 7.
    Czurda KA, Hohmann M (1997) Freezing effect on shear strength of clayey soils. Appl Clay Sci 12(1–2):165–187Google Scholar
  8. 8.
    Da Re G, Germaine JT, Ladd CC (2003) Triaxial testing of frozen sand: equipment and example results. J Cold Reg Eng 17(3):90–118Google Scholar
  9. 9.
    Hu X, Fang T (2014) Numerical simulation of temperature field at the active freeze period in tunnel construction using freeze-sealing pipe roof method. In: Ding W, Li X (eds) Geo-Shanghai 2014: tunnel and underground construction, ASCE, Shanghai, pp 731–741Google Scholar
  10. 10.
    Hu X, Deng S, Ren H (2016) In situ test study on freezing scheme of freeze-sealing pipe roof applied to the gongbei tunnel in the Hong Kong-Zhuhai-Macau bridge. Appl Sci 7(1):27Google Scholar
  11. 11.
    Ishihara K (1996) Soil behaviour in earthquake geotechnics. Oxford Science Publications, Oxford, pp 219–221Google Scholar
  12. 12.
    Kornfield T, Zubeck H (2013) Triaxial testing of frozen soils-state of the art. In: Zubeck H, Yang Z (eds) Selected technical papers STP1568: mechanical properties of frozen soils. ASTM International, pp 76–85Google Scholar
  13. 13.
    Lackner R, Amon A, Lagger H (2005) Artificial ground freezing of fully saturated soil: thermal problem. J Eng Mech 131(2):211–220Google Scholar
  14. 14.
    Lai Y, Xu X, Dong Y, Li S (2013) Present situation and prospect of mechanical research on frozen soils in china. Cold Reg Sci Technol 87(87):6–18Google Scholar
  15. 15.
    Lai Y, Xu X, Yu W, Qi J (2014) An experimental investigation of the mechanical behavior and a hyperplastic constitutive model of frozen loess. Int J Eng Sci 84:29–53zbMATHGoogle Scholar
  16. 16.
    Li JC, Baladi GY, Andersland OB (1979) Cyclic triaxial tests on frozen sand. Eng Geol 13(1–4):233–246Google Scholar
  17. 17.
    Li Q, Ling X, Hu J, Zhou Z (2019) Residual deformation and stiffness changes of frozen soils subjected to high-and low-amplitude cyclic loading. Can Geotech J 56(2):263–274Google Scholar
  18. 18.
    Liu E, Lai Y, Liao M, Liu X, Hou F (2016) Fatigue and damage properties of frozen silty sand samples subjected to cyclic triaxial test. Can Geotech J 53:1939–1951Google Scholar
  19. 19.
    Ling X, Li Q, Wang L, Zhang F, An L, Xu P (2013) Stiffness and damping radio evolution of frozen clays under long-term low-level repeated cyclic loading: experimental evidence and evolution model. Cold Reg Sci Technol 86:45–54Google Scholar
  20. 20.
    Ma W, Wu Z, Zhang L, Chang X (1999) Analyses of process on the strength decrease in frozen soils under high confining pressures. Cold Reg Sci Technol 29:1–7Google Scholar
  21. 21.
    Ma W, Cheng G, Wu Q (2009) Construction on permafrost foundations: lessons learned from the Qinghai-Tibet railroad. Cold Reg Sci Technol 59(1):3–11Google Scholar
  22. 22.
    Ma L, Qi J, Fan Y, Yao X (2016) Experimental study on variability in mechanical properties of a frozen sand as determined in triaxial compression tests. Acta Geotech 11(1):61–70Google Scholar
  23. 23.
    Parameswaran VR (1980) Deformation behaviour and strength of frozen sand. Can Geotech J 17(1):74–88Google Scholar
  24. 24.
    Qi J, Ma W (2007) A new criterion for strength of frozen sand under quick triaxial compression considering effect of confining pressure. Acta Geotech 2(3):221Google Scholar
  25. 25.
    Sheng D, Zhang S, Niu F, Cheng G (2014) A potential new frost heave mechanism in high-speed railway embankments. Geotechnique 64:144–154Google Scholar
  26. 26.
    Vaziri H, Han Y (1991) Full-scale field studies of the dynamic response of piles embedded in partially frozen soils. Can Geotech J 28(5):708–718Google Scholar
  27. 27.
    Vinson TS, Chaichanavong T, Li JC (1978) Dynamic testing of frozen soils under simulated earthquake loading conditions. ASTM Special Technical Publication, West Conshohocken, pp 65–71Google Scholar
  28. 28.
    Wang DY, Ma W, Wen Z, Chang XX (2008) Study on strength of artificially frozen soils in deep alluvium. Tunn Undergr Sp Technol 23(4):381–388Google Scholar
  29. 29.
    Wang J, Nishimura S, Okajima S, Joshi BR (2018) Small-strain deformation characteristics of frozen clay from static testing. Géotechnique 1–12Google Scholar
  30. 30.
    Wood DM (1990) Soil behaviour and critical state soil mechanics. Cambridge University Press, CambridgezbMATHGoogle Scholar
  31. 31.
    Wheeler SJ, Sivakumar V (1995) An elasto-plastic critical state framework for unsaturated soil. Géotechnique 45(1):35–53Google Scholar
  32. 32.
    Yuko Yamamoto, Springmansarah M (2014) Axial compression stress path tests on artificial frozen soil samples. Can Geotech J 51(10):1178–1195Google Scholar
  33. 33.
    Yang P, Ke JM, Wang JG, Chow YK, Zhu FB (2006) Numerical simulation of frost heave with coupled water freezing, temperature and stress fields in tunnel excavation. Comput Geotech 33(6):330–340Google Scholar
  34. 34.
    Zhang D, Li Q, Liu E, Liu X, Zhang G, Song B (2019) Dynamic properties of frozen silty soils with different coarse-grained contents subjected to cyclic triaxial loading. Cold Reg Sci Technol 157:64–85Google Scholar
  35. 35.
    Zhang G, Liu E, Chen S, Zhang D, Liu X, Yin X, Song B (2018) Effects of uniaxial and triaxial compression tests on the mechanical properties of frozen sandstone samples using real-time CT scanning technique. Int J Phys Model Geotech. Google Scholar
  36. 36.
    Zhang S, Tang CA, Zhang XD, Zhang ZC, Jin JX (2015) Cumulative plastic strain of frozen aeolian soil under highway dynamic loading. Cold Reg Sci Technol 120:89–95Google Scholar
  37. 37.
    Zhou Z, Ma W, Zhang S, Du H, Mu Y, Li G (2016) Multiaxial creep of frozen loess. Mech Mater 95:172–191Google Scholar
  38. 38.
    Zhou Z, Ma W, Zhang S, Mu Y, Li G (2018) Effect of freeze-thaw cycles in mechanical behaviors of frozen loess. Cold Reg Sci Technol 146:9–18Google Scholar
  39. 39.
    Zhou Z, Ma W, Zhang S, Du H, Mu Y, Li G (2018) Damage evolution and recrystallization enhancement of frozen loess. Int J Damage Mech 27(8):1131–1155Google Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of TransportationInner Mongolia UniversityHohhotPeople’s Republic of China
  2. 2.Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering MechanicsChina Earthquake AdministrationHarbinPeople’s Republic of China
  3. 3.State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil MechanicsChinese Academy of SciencesWuhanPeople’s Republic of China

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