Abstract
Global warming is causing unprecedented changes to permafrost regions with amplified effects in the Arctic through a phenomenon known as Arctic amplification. This intensified climate warming thaws both the discontinuous and continuous permafrost resulting in changes in the mechanical properties of the soils found in these regions. Since permafrost regions constitute nearly 24% of the Northern Hemisphere, understanding the strength of soils in thawed conditions is essential to analyze the stability of existing structures, and to design safer and more economical infrastructure in these regions. Specifically, thawing of the permafrost is causing considerable reductions in its strength of soils, which may lead to massive landslides, foundation failures, and so forth. Since frozen soil is a multiphase structure that consists of soil particles, unfrozen water, ice, and air, each constituent will influence the mechanical properties. This paper reviews the current state of knowledge of the impact of temperature, volumetric ice content, unfrozen water content, and frozen density on the compressive strength, peak shear strength, residual shear strength, undrained shear strength, and tensile strength of soils. The undrained shear strength of soil is said to have a linear correlation with temperature. In addition, the undrained cohesion of soil was found to depend on the temperature, whereas the undrained friction angle of soil was significantly influenced by volumetric ice content. An increase in the volumetric ice content up to 80% to 90% will cause a reduction in the peak and residual deviatoric stresses. In addition, an increase in volumetric ice content resulted in an increase in the compressive strength of the soil. The tensile and compressive strengths were found to be functions of the unfrozen water content.
Practical Applications
Global warming is causing the temperature of the permafrost, which is permanently frozen ground, to rise. This paper provides valuable insights into the impact of the changes in this ambient temperature on the strength of frozen soils in permafrost regions for a wide range of applications. Such insights are crucial for the design of resilient and stable infrastructure, such as foundations, embankments, and retaining walls, in which consideration of the reduced strength of thawed soils due to climate change will be necessary. In addition, the knowledge will allow for better management of vulnerable areas prone to landslides and erosion caused by the weakened soil strength permitting the implementation of mitigation measures before lives are lost and costly economic damages are incurred. Finally, this information will aid in early warning systems, emergency planning, and decision making to minimize the impact of hazards on human settlements and infrastructure. In this paper, a review of the current state of knowledge regarding the strength of frozen soils and the associated fluctuations in these strengths because of a rise in temperature are presented. Guidelines on the best practices for sample preparation and testing along with correlations to estimate various strength parameters are also provided.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
References
Abdulrahman, A. A. H. 2019. “Load transfer and creep behavior of pile foundations in frozen soils.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Carleton Univ.
Agergaard, F. A., and T. Ingeman-Nielsen. 2012. “Development of bearing capacity of fine grained permafrost deposits in western Greenland urban areas subject to soil temperature changes.” In Proc., Cold Regions Engineering 2012: Sustainable Infrastructure Development in a Changing Cold Environment, 82–92. Reston, VA: ASCE.
Akagawa, S., and K. Nishisato. 2009. “Tensile strength of frozen soil in the temperature range of the frozen fringe.” Cold Reg. Sci. Technol. 57 (1): 13–22. https://doi.org/10.1016/j.coldregions.2009.01.002.
Aldaeef, A. A., and M. T. Rayhani. 2020. “Load transfer of pile foundations in frozen and unfrozen soft clay.” Int. J. Geotech. Eng. 14 (6): 653–664. https://doi.org/10.1080/19386362.2019.1667127.
Aldaeef, A. A., and M. T. Rayhani. 2021. “Pile-soil interface characteristics in ice-poor frozen ground under varying exposure temperature.” Cold Reg. Sci. Technol. 191: 103377. https://doi.org/10.1016/j.coldregions.2021.103377.
Aldaood, A., M. Bouasker, and M. Al-Mukhtar. 2016. “Effect of water during freeze–thaw cycles on the performance and durability of lime-treated gypseous soil.” Cold Reg. Sci. Technol. 123: 155–163. https://doi.org/10.1016/j.coldregions.2015.12.008.
Andersen, G. R., C. W. Swan, C. C. Ladd, and J. T. Germaine. 1995. “Small-strain behavior of frozen sand in triaxial compression.” Can. Geotech. J. 32 (3): 428–451.
Andersland, O. B., and I. AlNouri. 1970. “Time-dependent strength behavior of frozen soils.” J. Soil Mech. Found. Div. 96 (4): 1249–1265. https://doi.org/10.1061/JSFEAQ.0001438.
Anderson, D. M., and A. R. Tice. 1972. “Predicting unfrozen water contents in frozen soils from surface area measurements.” Highway Res. Rec. 393 (2): 12–18.
Anderson, D. M., and A. R. Tice. 1973. “The unfrozen interfacial phase in frozen soil water systems.” In Physical aspects of soil water and salts in ecosystems, ecological studies, edited by A. Hadas, D. Swartzendruber, P. E. Rijtema, M. Fuchs, and B. Yaron, 107–124. Berlin: Springer.
Arenson, L. U. 2002. “Unstable alpine permafrost: a potentially important natural hazard.” Ph.D. thesis, Dept. of Civil, Environmental and Geomatic Engineering. Institute for Geotechnical Engineering, Swiss Federal Institute of Technology ETH Zurich.
Arenson, L. U., M. M. Johansen, and S. M. Springman. 2004. “Effects of volumetric ice content and strain rate on shear strength under triaxial conditions for frozen soil samples.” Permafrost Periglacial Processes 15 (3): 261–271. https://doi.org/10.1002/ppp.498.
Arenson, L. U., and S. M. Springman. 2005a. “Triaxial constant stress and constant strain rate tests on ice-rich permafrost samples.” Can. Geotech. J. 42 (2): 412–430.
Arenson, L. U., and S. M. Springman. 2005b. “Mathematical descriptions for the behaviour of ice-rich frozen soils at temperatures close to 0°C.” Can. Geotech. J. 42 (2): 431–442. Calgary, AB: Geo2010 Calgary Organizing Committee.
Arenson, L. U., and D. C. Sego. 2007 “Modeling the freezing in coarse grained sands on a microstructural level.” In current practices in cold regions engineering, 1–11. Reston, VA: ASCE. https://doi.org/10.1061/40836(210)38.
Arenson, L. U., S. Springman, and D. Sego. 2007. “The rheology of frozen soils.” Appl. Rheol. 17: 12147-1. https://doi.org/10.1515/arh-2007-0003.
ASTM (2016). Standard test method for mechanical penetration tests (CPT) of soils, ASTM D3441. West Conshohocken, PA: ASTM.
Azmatch, T. F., D. C. Sego, L. U. Arenson, and K. W. Biggar. 2010. “Tensile strength of frozen soils using four-point bending test.” In Proc., 63rd Canadian Geotechnical Conf. and 6th Canadian Permafrost Conf., 436–442. Calgary, Canada: Geo2010 Calgary Organizing Committee.
Azmatch, T. F., D. C. Sego, L. U. Arenson, and K. W. Biggar. 2011. “Tensile strength and stress–strain behaviour of Devon silt under frozen fringe conditions.” Cold Reg. Sci. Technol. 68 (1): 85–90. https://doi.org/10.1016/j.coldregions.2011.05.002.
Azmatch, T. F., D. C. Sego, L. U. Arenson, and K. W. Biggar. 2012. “Using soil freezing characteristic curve to estimate the hydraulic conductivity function of partially frozen soils.” Cold Reg. Sci. Technol. 83-84: 103–109. https://doi.org/10.1016/j.coldregions.2012.07.002.
Baker, T. H. W. 1976. Preparation of artificially frozen sand specimens. Ottawa: Division of Building Research, National Research Council.
Boucher, M., and A. Guimond. 2012. “Assessing the vulnerability of Ministère des Transports du Québec infrastructure in Nunavik in a context of thawing permafrost and the development of an adaptation strategy.” In Proc., Cold Regions Engineering 2012: Sustainable Infrastructure Development in a Changing Cold Environment, 504–514. Reston, VA: ASCE.
Bragg, R. A., and O. B. Andersland. 1981. “Strain rate, temperature, and sample size effects on compression and tensile properties of frozen sand.” Eng. Geol. 18 (1–4): 35–46. https://doi.org/10.1016/0013-7952(81)90044-2.
Bray, M. T. 2008. “The influence of soil cryostructure on the creep and long term strength properties of frozen soils.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, University of Alaska Fairbanks.
Bray, M. T. 2012. “The influence of cryostructure on the creep behavior of ice-rich permafrost.” Cold Regions Sci. Technol. 79: 43–52. https://doi.org/10.1016/j.coldregions.2012.04.003.
Buteau, S., R. Fortier, and M. Allard. 2005. “Rate-controlled cone penetration tests in permafrost.” Can. Geotech. J. 42 (1): 184–197. https://doi.org/10.1139/t04-093.
Buteau, S., R. Fortier, and M. Allard. 2010. “Permafrost weakening as a potential impact of climatic warming.” J. Cold Reg. Eng. 24 (1): 1–18. https://doi.org/10.1061/(ASCE)0887-381X(2010)24:1(1).
Chamberlain, E., C. Groves, and R. Perham. 1972. “The mechanical behaviour of frozen earth materials under high pressure triaxial test conditions.” Geotechnique 22 (3): 469–483. https://doi.org/10.1680/geot.1972.22.3.469.
Christ, M., and Y.-C. Kim. 2009. “Experimental study on the physical-mechanical properties of frozen silt.” KSCE J. Civ. Eng. 13 (5): 317–324. https://doi.org/10.1007/s12205-009-0317-z.
Christ, M., and J. B. Park. 2010. “Laboratory determination of strength properties of frozen rubber–sand mixtures.” Cold Reg. Sci. Technol. 60 (2): 169–175. https://doi.org/10.1016/j.coldregions.2009.08.013.
Czurda, K. A. 1983. “Freezing effects on soils: Comprehensive summary of the ISGF 82.” Cold Reg. Sci. Technol. 8 (2): 93–107. https://doi.org/10.1016/0165-232X(83)90001-0.
Czurda, K. A., and M. Hohmann. 1997. “Freezing effect on shear strength of clayey soils.” Appl. Clay Sci. 12 (1-2): 165–187. https://doi.org/10.1016/S0169-1317(97)00005-7.
Emami Ahari, H., and B. Ajmera. 2023a. “Development of a temperature-controlled direct shear Box for frozen samples.” In Proc., Geo-Congress 2023, 262–272. Reston, VA: ASCE.
Emami Ahari, H., and B. Ajmera. 2023b. “Development of temperature-controlled direct shear box.” J. Test. Eval. 51 (6): 3808–3826.
Esmaeili-Falak, M., H. Katebi, and A. A. Javadi. 2020. “Effect of freezing on stress–strain characteristics of granular and cohesive soils.” J. Cold Reg. Eng. 34 (2): 05020001. https://doi.org/10.1061/(ASCE)CR.1943-5495.0000205.
Fernandez Santoyo, S., J. G. Tom, and T. Baser. 2021. “Impact of subsurface warming on the capacity of helical piles installed in permafrost layers.” In Proc., Int. Foundations Congress and Equipment Expo 2021, 239–248. Reston, VA: ASCE.
Fortier, R., B. Ladanyi, and M. Allard. 1993. “CPT study of the effect of unfrozen water content on strength of silty permafrost at Kangiqsualujjuaq, Nunavik (Québec).” In Proc., 46th Canadian Geotechnical Conf., 307–318. Richmond, BC: Canadian Geotechnical Society.
Fortier, R., B. Ladanyi, and M. Allard. 1994. “Cone penetration strength of saline silty permafrost at Kangiqsualujjuaq, Nunavik (Quebec).” In Proc., 7th Int. Cold Regions Engineering Specialty Conf., 697–671. Montreal, QC: Canadian Society for Civil Engineering (CSCE).
Frankenstein, S., and S. A. Shoop. 2015. “Characterization of the physical properties of frozen soil under varying ice content.” Cold Reg. Eng. 2015: 13–24. https://doi.org/10.1061/9780784479315.002.
Goughnour, R. R., and O. B. Andersland. 1968. “Mechanical properties of a sand-Ice system.” J. Soil Mech. Found. Div. 94 (4): 923–950. https://doi.org/10.1061/JSFEAQ.0001179.
Haeberli, W., U. Baltensperger, H. Bösch, H. Gäggeler, M. Gloor, E. Hoehn, A. Hofer, P. Holub, R. Keil, and H. R. Keusen. 1990. Pilot Analyses of permafrost cores from the active rock glacier Murtèl I, Piz Corvatsch. Eastern Swiss Alps. A workshop report. Zurich: VAW/ETHZ Arbeitsheft.
Haynes, F. D., and J. A. Karalius. 1977. Effect of temperature on the strength of frozen silt. Report No. 77. Hanover, NH: Department of Defense, Department of the Army, Corps of Engineers, Cold Regions Research and Engineering Laboratory.
Haynes, F. D. 1978. “Strength and deformation of frozen silt.” In Proc., 3rd Int. Conf. on Permafrost, 655–661. Ottawa, ON: National Research Council of Canada.
Hivon, E. G., and D. C. Sego. 1995. “Strength of frozen saline soils.” Can. Geotech. J. 32 (2): 336–354. https://doi.org/10.1139/t95-034.
Hjort, J., O. Karjalainen, J. Aalto, S. Westermann, V. E. Romanovsky, F. E. Nelson, B. Etzelmüller, and M. Luoto. 2018. “Degrading permafrost puts Arctic infrastructure at risk by mid-century.” Nat. Commun. 9 (1): 5147. https://doi.org/10.1038/s41467-018-07557-4.
Hohmann-Porebska, M. 2002. “Microfabric effects in frozen clays in relation to geotechnical parameters.” Appl. Clay Sci. 21 (1): 77–87. https://doi.org/10.1016/S0169-1317(01)00094-1.
Hooke, R. L., B. B. Dahlin, and M. T. Kauper. 1972. “Creep of Ice containing dispersed fine sand.” J. Glaciol. 11 (63): 327–336. https://doi.org/10.3189/S0022143000022309.
Hu, F., Z. Q. Li, Y. F. Tian, and R. Hu. 2021. “Failure patterns and morphological soil-rock interface characteristics of frozen soil–rock mixtures under compression and tension.” Appl. Sci. 11: 461. https://doi.org/10.3390/app11010461.
Huang, X., D. Q. Li, F. Ming, H. Bing, and W.W. Peng. 2016. “Experimental study of the compressive and tensile strengths of artificial frozen soil.” [In Chinese.] J. Glaciol. Geocryol. 38 (5): 1346–1352.
Ishizaki, T., M. Maruyama, Y. Furukawa, and J. G. Dash. 1996. “Premelting of ice in porous silica glass.” J. Cryst. Growth 163 (4): 455–460. https://doi.org/10.1016/0022-0248(95)00990-6.
Jones, S. J., and V. R. Parameswaran. 1983. “Deformation behavior of frozen sand-ice materials under triaxial compression.” In Proc., 4th Int. Conf. on Permafrost, 560–565. Washington, DC: National Academy Press.
Knutsson, S. 1981. “The shear strength of frozen soils.” In Proc., Int. Conf. on Soil Mechanics and Foundation Engineering: 15/06/1981-19/06/1981, 731–732. Rotterdam: Balkema Publishers, AA/Taylor & Francis, The Netherlands.
Kozlowski, T. 2007. “A semi-empirical model for phase composition of water in clay–water systems.” Cold Reg. Sci. Technol. 49 (3): 226–236. https://doi.org/10.1016/j.coldregions.2007.03.013.
Kruse, A. M., M. M. Darrow, and S. Akagawa. 2018. “Improvements in measuring unfrozen water in frozen soils using the pulsed nuclear magnetic resonance method.” J. Cold Reg. Eng. 32 (1): 04017016. https://doi.org/10.1061/(ASCE)CR.1943-5495.0000141.
Ladanyi, B. 1972a. “An engineering theory of creep of frozen soils.” Can. Geotech. J. 9 (1): 63–80. https://doi.org/10.1139/t72-005.
Ladanyi, B. 1972b. “In-situ determination of undrained stress-strain behavior of sensitive clays with the pressuremeter.” Can. Geotech. J. 9 (3): 313–319. https://doi.org/10.1139/t72-034.
Ladanyi, B. 1976. “Use of the static penetration test in frozen soils.” Can. Geotech. J. 13 (2): 95–110. https://doi.org/10.1139/t76-012.
Ladanyi, B. 1985. “Use of the cone penetration test for the design of piles in permafrost.” J. Energy Res. Technol. 107 (2): 183–187. https://doi.org/10.1115/1.3231174.
Ladanyi, B. 2000. “Performance of field tests in permafrost and their use in design.” In Proc., Int. Workshop on Permafrost Engineering, 18–21. Svalbard, Norway: Verlag nicht ermittelbar.
Ladanyi, B. 2003. “Rheology of ice/rock systems and interfaces.” In Proc., 8th Int. Conf. on Permafrost, 21–25. Rotterdam, Netherlands: A.A. Balkema.
Ladanyi, B., and G. H. Johnston. 1973. “Evaluation of in situ creep properties of frozen soils with the pressuremeter.” In Proc., 2nd Int. Permafrost Conf., 310–317. Washington, DC: National Academy of Sciences.
Ladanyi, B., and R. Saint-Pierre. 1978. “Evaluation of creep properties of sea ice by means of a borehole dilatometer.” In Proc., Int. Association of Hydraulic Research Symp. on Ice Problems, Part I, edited by Lulea, 97–115. Madrid, Spain: International Association for Hydro-Environment Engineering and Research (IAHR).
Ladanyi, B., and M. Melouki. 1993. “Determination of creep properties of frozen soils by means of the borehole stress relaxation test.” Can. Geotech. J. 30 (1): 170–186. https://doi.org/10.1139/t93-015.
Lade, P. V., H. L. Jessberger, N. Diekmann. 1980. “Stress–strain and volumetric behavior of frozen soils.” In 2nd Int. Symp. on Ground Freezing, 48–64. New York: Elsevier.
Lagosha, D., I. Sokolov, and N. Volkov. 2022. “Comparison of frozen soil strength characteristics by cone penetration and triaxial compression testing.” In Proc., Cone Penetration Testing 2022, 491–496. London: CRC Press.
Lai, Y., L. Jin, and X. Chang. 2009. “Yield criterion and elasto-plastic damage constitutive model for frozen sandy soil.” Int. J. Plast. 25 (6): 1177–1205. https://doi.org/10.1016/j.ijplas.2008.06.010.
Lai, Y., X. Xu, Y. Dong, and S. Li. 2013. “Present situation and prospect of mechanical research on frozen soils in China.” Cold Reg. Sci. Technol. 87: 6–18. https://doi.org/10.1016/j.coldregions.2012.12.001.
Li, B., and S. Akhtar. 2022. “Characterizations of tensile yield and failure processes of frozen clay soils: Laboratory testing and numerical modeling.” Bull. Eng. Geol. Environ. 81 (10): 429. https://doi.org/10.1007/s10064-022-02942-2.
Li, Q. Z., Y. M. Lai, X. T. Xu, Y. G. Yang, and X. X. Chang. 2010. “Triaxial strength distribution of warm frozen soil and its damage statistical constitutive model.” J. Glaciol. Geocryol. 32 (6): 1235–1241.
Li, Z., J. Chen, and M. Sugimoto. 2020. “Pulsed NMR measurements of unfrozen water content in partially frozen soil.” J. Cold Reg. Eng. 34 (3): 04020013. https://doi.org/10.1061/(ASCE)CR.1943-5495.0000220.
Liew, M., X. Ji, M. Xiao, L. Farquharson, D. Nicolsky, V. Romanovsky, M. Bray, X. Zhang, and C. McComb. 2022. “Synthesis of physical processes of permafrost degradation and geophysical and geomechanical properties of permafrost.” Cold Reg. Sci. Technol. 198: 103522. https://doi.org/10.1016/j.coldregions.2022.103522.
Liu, J. K., and L. Y. Peng. 2009. “Experimental study on the unconfined compression of a thawing soil.” Cold Reg. Sci. Technol. 58 (1-2): 92–96. https://doi.org/10.1016/j.coldregions.2009.03.008.
Liu, Z., and X. Yu. 2013. “Physically based equation for phase composition curve of frozen soils.” Transp. Res. Rec. 2349 (1): 93–99. https://doi.org/10.3141/2349-11.
Lundberg, A. B. 2013. “Shear strength of clay during thaw.” In Multiphysical testing of soils and shales. Springer series in geomechanics and geoengineering, edited by L. Laloui and A. Ferrari. Berlin: Springer, 131–136.
Ma, W., Z. Wu, L. Zhang, and X. Chang. 1999a. “Analyses of process on the strength decrease in frozen soils under high confining pressures.” Cold Reg. Sci. Technol. 29 (1): 1–7. https://doi.org/10.1016/S0165-232X(98)00020-2.
Ma, W., Z. Wu, L. Zhang, and X. Chang. 1999b. “Mechanisms of strength weakening of frozen soils under high confining pressure.” J. Glaciol. Geocryol. 21 (1): 27–32.
Mathieson, W., and P. Croft. 2022. “Permafrost degradation impacts on the trans-Alaska pipeline.” GeoStrata Mag. Arch. 26 (3): 34–41. https://doi.org/10.1061/geosek.0000420.
McCartney, L. N. 1976. “No time—gentlemen please!.” Philosophical Magazine 33 (4): 689–695. https://doi.org/10.1080/14786437608221129.
McKenzie, J. M., C. I. Voss, and D. I. Siegel. 2007. “Groundwater flow with energy transport and water-ice phase change: Numerical simulations, benchmarks, and application to freezing in peat bogs.” Adv. Water Resour. 30 (4): 966–983.
Michalowski, R. L. 1993. “A constitutive model of saturated soils for frost heave simulations.” Cold Reg. Sci. Technol. 22 (1): 47–63. https://doi.org/10.1016/0165-232X(93)90045-A.
Morice, C. P., J. J. Kennedy, N. A. Rayner, J. P. Winn, E. Hogan, R. E. Killick, R. J. H. Dunn, T. J. Osborn, P. D. Jones, and I. R. Simpson. 2021. “An updated assessment of near-surface temperature change from 1850: The HadCRUT5 data set.” J. Geophys. Res. 126 (3): e2019JD032361. https://doi.org/10.1029/2019JD032361.
Mu, Q. Y., C. Zhou, C. W. W. Ng, and G. G. D. Zhou. 2019. “Stress effects on soil freezing characteristic curve: Equipment development and experimental results.” Vadose Zone J. 18 (1): 1–10.
NASA (NASA's Goddard Institute for Space Studies). 2020. “Global temperature”. NASA climate change vital signs of the planet. Accessed May 10, 2020. https://climate.nasa.gov/.
Nersesova, Z. A., and N. A. Tsytovich. 1963. “Unfrozen water in frozen soils.” In Proc., 1st Int. Conf. on Permafrost, 11–15. Washington, DC: National Academy of Sciences, National Research Council.
Nitze, I., G. Grosse, B. M. Jones, V. E. Romanovsky, and J. Boike. 2018. “Remote sensing quantifies widespread abundance of permafrost region disturbances across the Arctic and subarctic.” Nat. Commun. 9 (1): 5423. https://doi.org/10.1038/s41467-018-07663-3.
Nixon, J. F., and A. J. Hanna. 1979. “The undrained strength of some thawed permafrost soils.” Can. Geotech. J.16 (2): 420–427. https://doi.org/10.1139/t79-044.
Nixon, J. F., and N. R. Morgenstern. 1973. “The residual stress in thawing soils.” Can. Geotech. J. 10 (4): 571–580. https://doi.org/10.1139/t73-053.
NOAA (NOAA National Center for Environmental Information). 2022. “Global Climate Report.” Accessed May 2, 2022. https://www.ncei.noaa.gov/
Ogata, N., M. Yasuda, and T. Kataoka. 1983. “Effects of salt concentration on strength and creep behavior of artificially frozen soils.” Cold Reg. Sci. Technol. 8 (2): 139–153. https://doi.org/10.1016/0165-232X(83)90005-8.
Parameswaran, V. R. 1980. “Deformation behaviour and strength of frozen sand.” Can. Geotech. J. 17 (1): 74–88. https://doi.org/10.1139/t80-007.
Parameswaran, V. R., and S. J. Jones. 1981. “Triaxial testing of frozen sand.” J. Glaciol. 27 (95): 147–155. https://doi.org/10.3189/S0022143000011308.
Pekarskaya, N. K. 1965. Shear strength of frozen grounds and its dependence on texture. Hanover, NH: Cold Regions Research and Engineering Lab.
Peng, W. W. 1998. “Tensile strength of frozen loess varying with strain rate and temperature.” [In Chinese.] Chin. J. Geotech. Eng. 20 (3): 31–33.
Pharr, G. M., and J. E. Merwin. 1985. “Effects of brine content on the strength of frozen Ottawa sand.” Cold Reg. Sci. Technol. 11 (3): 205–212. https://doi.org/10.1016/0165-232X(85)90044-8.
Radd, F. J., and L. H. Wolfe. 1979. “Ice lens structures, compression strengths and creep behavior of some synthetic frozen silty soils.” Eng. Geol. 13: 169–183.
Rempel, A. W. 2007. “Formation of ice lenses and frost heave.” J. Geophys. Res.: Earth Surf. 112: F2.
Sayles, F. H., and D. L. Carbee. 1982. “Strength of frozen silt as a function of Ice content and Dry unit weight.” In Developments in geotechnical engineering, ground freezing 1980, edited by P. E. Frivik, N. Janbu, R. Saetersdal, and L. I. Finborud, 55–66. Trondheim, Norway: Elsevier.
Sayles, F. H., and D. Haines. 1974. Creep of frozen silt and clay. Hanover, NH: Corps of Engineers, U.S. Army, Cold Regions Research and Engineering Laboratory.
Shen, M. D., Z. W. Zhou, W. Ma, et al. 2022. “Tensile behaviors of frozen subgrade soil.” Bull. Eng. Geol. Environ. 81 (3): 122. https://doi.org/10.1007/s10064-022-02616-z.
Shen, Z. Y., Y. Z. Liu, W. W. Peng, and X. X. Chang. 1994. “Application of the radial-splitting method to determining tensile strength of frozen soils.” [In Chinese.] J. Glaciol. Geocryol. 16 (3): 224–231.
Shen, Z. Y., W. W. Peng, and Y. Z. Liu. 1995a. “Tensile strength of frozen saturated loess.” J. Glaciol. Geocryol. 17 (4): 315–321.
Shen, Z. Y., W. W. Peng, Y. Z. Liu, and X. X. Chang. 1995b. “Preliminary research on axial splitting method for determining tensile strength of frozen soil.” [In Chinese.] J. Glaciol. Geocryol. 17 (1): 33–39.
Shloido, G. A. 1968. “Determining the tensile strength of frozen ground.” Translated From Gidrotekhnicheskoe Stroitelstvo 3: 37–38.
Singh, S. K., and I. J. Jordaan. 1996. “Triaxial tests on crushed ice.” Cold Reg. Sci. Technol. 24 (2): 153–165. https://doi.org/10.1016/0165-232X(95)00017-6.
Sokolov, I., and V. Nikolay. 2022. “Long-term strength determination of frozen soils by CPT.” In cone penetration testing, 226–229. Boca Raton, FL: CRC Press.
Steiner, A. 2016. “The influence of freeze–thaw cycles on the shear strength of Illite clay.” M.S. thesis, Dept. of Civil Engineering and Geosciences, Delft University of Technology.
Steiner, A., P. J. Vardon, and W. Broere. 2018. “The influence of freeze–thaw cycles on the shear strength of Illite clay.” Proc. Inst. Civ. Eng.– Geotech. Eng. 171 (1): 16–27.
Stocker, T. (2014). Climate change 2013: The physical science basis: Working group I contribution to the fifth assessment report of the intergovernmental panel on climate change. Cambridge University Press.
Streletskiy, D. A., N. I. Shiklomanov, and F. E. Nelson. 2012. “Permafrost, infrastructure, and climate change: A GIS-based landscape approach to geotechnical modeling.” Arct. Antarct Alp. Res. 44 (3): 368–380. https://doi.org/10.1657/1938-4246-44.3.368.
Su, X., B. Wang, and S. Nichol. 2006. “Back analysis of a slope failure in permafrost in the Mackenzie valley, Canada.” In Proc., Current Practices in Cold Regions Engineering, 1–12. Reston, VA: ASCE.
Tice, A. R., J. L. Oliphant, Y. Nakano, and T. F. Jenkins. 1982. Relationship between the ice and unfrozen water phases in frozen soil as determined by pulsed nuclear magnetic resonance and physical desorption data. Hanover, NH: Cold Regions Research and Engineering Laboratory.
Ting, J. M., R. Torrence Martin, and C. C. Ladd. 1983. “Mechanisms of strength for frozen sand.” J. Geotech. Eng. 109 (10): 1286–1302. https://doi.org/10.1061/(ASCE)0733-9410(1983)109:10(1286).
Van Everdingen, R. 2005. “Multi-language glossary of permafrost and related ground-ice terms.” In Proc., National Snow and Ice Data Center/World Data Center for Glaciology. Trondheim, Norway: Tapir Publishers.
Vialov, S. S., V. G. Gmoshinskii, S. E. Gorodetskii, V. G. Grigorieva, I. K. Zaretskii, N. K. Pekarskaia, and E. P. Shusherina. 1965. The strength and creep of frozen soils and calculations for ice-soil retaining structures. Hanover, NH: Army, Corps of Engineers, Cold Regions Research and Engineering Laboratory.
Volkov, N. G., I. S. Sokolov, and R. A. Jewell. 2018. “Application of CPT testing in permafrost.” In cone penetration testing, 677–682. Raton, FL: CRC Press.
Wang, H., Y. Zhou, X. Zhao, Y. Ji, and G. Zhou. 2023. “Experimental study on tensile strength of warm frozen soil based on hydraulic fracturing method.” Cold Reg. Sci. Technol. 212: 103883. https://doi.org/10.1016/j.coldregions.2023.103883.
Watanabe, K., and T. Wake. 2009. “Measurement of unfrozen water content and relative permittivity of frozen unsaturated soil using NMR and TDR.” Cold Reg. Sci. Technol. 59 (1): 34–41. https://doi.org/10.1016/j.coldregions.2009.05.011.
Watson, G. H., W. A. Slusarchuk, and R. K. Rowley. 1973. “Determination of some frozen and thawed properties of permafrost soils.” Can. Geotech. J. 10 (4): 592–606. https://doi.org/10.1139/t73-055.
Williams, P. J., and M. W. Smith. 1989. Vol. 306 of The frozen earth: Fundamentals of geocryology. Cambridge: Cambridge University Press.
Xian, S., Z. Lu, H. Yao, R. Fang, and J. She. 2019. “Comparative study on mechanical properties of compacted clay under freeze-thaw cycles with closed and open systems.” Adv. Mater. Sci. Eng. 2019: 1–13. https://doi.org/10.1155/2019/9206372.
Yamamoto, Y., and S. M. Springman. 2014. “Axial compression stress path tests on artificial frozen soil samples in a triaxial device at temperatures just below 0°C.” Can. Geotech. J. 51 (10): 1178–1195. https://doi.org/10.1139/cgj-2013-0257.
Yamamoto, Y., and S. M. Springman. 2019. “Triaxial stress path tests on artificially prepared analogue alpine permafrost soil.” Can. Geotech. J. 56 (10): 1448–1460.
Yang, B., Z. Qin, Q. Zhou, H. Li, L. Li, and X. Yang. 2020. “Pavement damage behaviour of urban roads in seasonally frozen saline ground regions.” Cold Reg. Sci. Technol. 174: 103035. https://doi.org/10.1016/j.coldregions.2020.103035.
Yang, Z. J., B. Still, and X. Ge. 2015. “Mechanical properties of seasonally frozen and permafrost soils at high strain rate.” Cold Reg. Sci. Technol. 113: 12–19. https://doi.org/10.1016/j.coldregions.2015.02.008.
Yasufuku, N., S. M. Springman, L. U. Arenson, and T. Ramholt. 2003. “Stress-dilatancy behaviour of frozen sand in direct shear.” In Proc., 8th Int. Conf. on Permafrost, 1253–1258. Tokyo, Japan: A.A. Balkema Publishers.
Yoshikawa, K., and P. P. Overduin. 2005. “Comparing unfrozen water content measurements of frozen soil using recently developed commercial sensors.” Cold Reg. Sci. Technol. 42 (3): 250–256. https://doi.org/10.1016/j.coldregions.2005.03.001.
You, Z. L., Y. W. Ma, Z. Y. Wang, and J. Ma. 2021. “Tensile strength variation of a silty clay under different temperature and moisture conditions.” Cold Reg. Sci. Technol. 189: 103314. https://doi.org/10.1016/j.coldregions.2021.103314.
Yu, H. L., W. Wang, Y. S. Ma, and X. Y. Xu. 2014. “Analysis on unfrozen water content of mohe permafrost based on NMR method.” Adv. Mater. Res. 881–883: 1185–1188. https://doi.org/10.4028/www.scientific.net/AMR.881-883.1185.
Yu, W., Y. Lai, Y. Zhu, H. Li, J. Zhang, X. Zhang, and S. Zhang. 2002. “In situ determination of mechanical properties of frozen soils with the pressuremeter.” Cold Reg. Sci. Technol. 34 (3): 179–189. https://doi.org/10.1016/S0165-232X(02)00005-8.
Yuanlin, Z., and D. L. Carbee. 1987. Tensile strength of frozen silt. This Digital Resource was created from scans of the Print Resource. Hanover, NH: Cold Regions Research and Engineering Laboratory (U.S.).
Yugui, Y., G. Feng, L. Yuanming, and C. Hongmei. 2016. “Experimental and theoretical investigations on the mechanical behavior of frozen silt.” Cold Reg. Sci. Technol. 130: 59–65. https://doi.org/10.1016/j.coldregions.2016.07.008.
Zhang, H., J. Zhang, K. Su, and S. Liu. 2012. “In-situ pressuremeter test in warm and ice-rich permafrost.” Cold Reg. Sci. Technol. 83-84: 115–121. https://doi.org/10.1016/j.coldregions.2012.07.004.
Zhang, M., W. Pei, S. Li, J. Lu, and L. Jin. 2017. “Experimental and numerical analyses of the thermo-mechanical stability of an embankment with shady and sunny slopes in a permafrost region.” Appl. Therm. Eng. 127: 1478–1487. https://doi.org/10.1016/j.applthermaleng.2017.08.074.
Zhang, M., X. Zhang, J. Lu, W. Pei, and C. Wang. 2019. “Analysis of volumetric unfrozen water contents in freezing soils.” Exp. Heat Transfer 32 (5): 426–438. https://doi.org/10.1080/08916152.2018.1535528.
Zhang, T., J. A. Heginbottom, R. G. Barry, and J. Brown. 2000. “Further statistics on the distribution of permafrost and ground ice in the Northern Hemisphere.” Polar Geogr. 24 (2): 126–131. https://doi.org/10.1080/10889370009377692.
Zhang, X., L. Li, R. McHattie, and J. Oswell. 2018. “Experimental study of ice-rich permafrost cut slope protection.” J. Cold Reg. Eng. 32 (1): 04017018. https://doi.org/10.1061/(ASCE)CR.1943-5495.0000149.
Zhang, Y. G., Y. Lu, S. H. Liu, Z. Li, C. Zhang, and Y. Zhou et al. 2021. “Experimental study on tensile strength of frozen expansive soils based on Brazilian splitting tests.” [In Chinese.] Chin. J. Geotech. Eng. 43 (11): 2046–2054.
Zhao, J. F. 2011. “An experimental study on the relationship between tensile strength and temperature and water ratio of frozen soil.” [In Chinese.] Geol. Explor. 47 (6): 1158–1161.
Zhao, Y., M. Zhang, and J. Gao. 2022. “Research progress of constitutive models of frozen soils: A review.” Cold Reg. Sci. Technol. 206: 103720.
Zhou, G., K. Hu, X. Zhao, J. Wang, H. Liang, and G. Lu. 2015. “Laboratory investigation on tensile strength characteristics of warm frozen soils.” Cold Reg. Sci. Technol. 113: 81–90. https://doi.org/10.1016/j.coldregions.2015.02.003.
Zhu, Y., and D. L. Carbee. 1984. “Uniaxial compressive strength of frozen silt under constant deformation rates.” Cold Reg. Sci. Technol. 9 (1): 3–15. https://doi.org/10.1016/0165-232X(84)90043-0.
Zhu, Y. L., W. W. Peng, X. Y. Wang. 1995. “Effect of strain rate and temperature on tensile strength of frozen loess.” [In Chinese.] J. Glaciol. Geocryol. 17 (SI): 71–75.
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Journal of Cold Regions Engineering
Volume 38 • Issue 2 • June 2024
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© 2024 American Society of Civil Engineers.
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Received: Jan 8, 2023
Accepted: Sep 6, 2023
Published online: Feb 20, 2024
Published in print: Jun 1, 2024
Discussion open until: Jul 20, 2024
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