Olga Tretiakova


Development of northern territories opens up new opportunities for social and economic development of the society. However, designing construction facilities in such areas is complicated by special features of the severe climate; frost heave of soils is one of its manifestations. Normal frost heave forces under the foundation base can be neutralized by foundation embedment below the seasonal frost line. In these conditions, tangential heave stresses will act on the lateral surfaces of foundations, causing uneven lifting of structures, which will lead to the violation of the structure integrity. Regulatory and technical literature recommends determination of tangential frost heave stresses on the basis of generalized tabular data or experimentally, which is not always possible.
A relevant technique for calculating tangential stresses is required, which takes into account climatic and hydrogeological conditions of the construction site. In this article, an attempt is made to reveal those aspects of originating and development of tangential frost heave stresses, which would allow carrying out their calculation. To solve this problem, the existing research experience, features of the cryogenic structure, mechanical and stress-strain behavior of frozen soils were analyzed. A relationship of tangential frost heave stresses with specific cohesion and moisture of frozen soil was revealed on the basis of the analysis.
A point of view, according to which tangential frost heave stresses are a result of maximum compressive heave stresses, directed along the normal to the lateral surface of the foundation, was emphasized too; this allowed relating tangential heave stresses with the frozen soil deformation modulus. Based on the above statements, formulas for calculating tangential frost heave stresses were obtained. The calculation method for determining these stresses would provide the possibility of designing cost-effective and safe structures in areas with the severe climate.


Wetness, boundary layer, tangential stresses, deformation modulus, frost heave, specific soil cohesion

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Abzhalimov, R.Sh. (2006). Opredelenie velichiny vypuchivaniia grunta vokrug svai, samikh svai i svainykh rostverkov, usilii v nikh na puchinistykh gruntakh [Determination of soil uplift gradient around piles and pile grids, their stresses on heaving soils]. Internet journal. Razvitie gorodov i gidrotekhnicheskoe stroitel'stvo [City development and hydraulic engineering], 10, pp. 214–221. (in Russian)

Abzhalimov, R.Sh. (2009). Printsipy rascheta maloetazhnykh zdanii i podzemnykh sooruzhenii na puchinistykh gruntovykh osnovaniiakh [Calculation principles of low-storey buildings and underground structures on heaving soil foundations]. Geotekhnika, 1, pp. 25–33. (in Russian)

Abzhalimov, R.Sh. (2011). Zakonomernosti vzaimodeistviia puchinistogo gruntovogo osnovaniia s fundamentami maloetazhnykh zdanii i podzemnymi sooruzheniiami i metody ikh rascheta [Regularities of the interaction of heaving soil foundations with foundations of low-storey buildings and underground structures and methods of their calculation]. DSc Thesis in Engineering. Moscow: Moscow State University of Railway Engineering, p. 47. (in Russian)

Alekseev, A. G. (2006). Opredelenie gorizontal'nogo davlenija grunta na podpornye steny pri sezonnom promerzanii-ottaivanii [Determination of frost heave horizontal pressure on retaining walls under seasonal freeze-thaw]. PhD thesis in Engineering. Moscow: OJSC "PNIIIS", p. 190. (in Russian)

Ashpiz, E. S. (1984). Uslovija podobija processov promerzanija i puchenija gruntov pri fizicheskom modelirovanii [Сonditions of the similarity of freezing and heaving processes in physical modeling]. Dnepropetrovsk: Dnepropetrovsk Institute of Railway Transport Engineers named after M. I. Kalinin, p. 39. (in Russian)

Azmatch, T. F, Sego, D. C, Arenson, L. U, Biggar, K. W. (2011). Tensile strength and stress-strain behaviour of Devon silt under frozen fringe conditions. Gold Regions Science and Technology, 68(1–2), pp. 85–90. DOI: 10.1016/j.coldregions.2011.05.002

Biggar, K. W., Sego, D. (1993). The strength and deformation behaviour of model adfreeze and grouted piles in saline frozen soils. Canadian Geotechnical Journal, 30(2), pp. 319–337. DOI: 10.1139/t93-027

Bogorodskiy, V. V., Gavrilo, V. P., Nedoshivin, O. A. (1983). Razrushenie l'da. Metody, tekhnicheskie sredstva [Ice destruction. Methods, techniques]. Leningrad: Gidrometeoizdat, p. 232. (in Russian)

Dalmatov, B. I. (1958). Usloviia modelirovaniia protsessa pucheniia vodonasyshchennogo grunta [Simulation environment of the heave process of saturated soils]. In: Proceedings of the Leningrad Institute of Engineering and Construction. Leningrad, 29, pp. 127–133. (in Russian)

Dalmatov, B. I. (1988). Mekhanika gruntov, osnovaniia i fundamenty (vkliuchaia spetsial'nyi kurs inzhenernoi geologii) [Mechanics of soils, bases and foundations (including the course on engineering geology)]. Leningrad: Stroyizdat, p. 415. (in Russian)

Dalmatov, B. I. (1954). Issledovaniia kasatel'nykh sil pucheniia i vliianiia ikh na fundamenty sooruzhenii [Investigation of tangential frost heave forces and their effect on foundations]. Academy of Sciences of the USSR: Institute of Frost Science, p. 60. (in Russian)

Ershov, E. D. (1985). Deformatsii i napriazheniia v promerzaiushchikh i ottaivaiushchikh porodakh [Strains and stresses in freezing and thawing rocks]. Moscow: Publishing House of the Moscow University, p. 167. (in Russian)

Ershov, E. D. (1986). Polevye metody geokriologicheskikh issledovanii [Field methods of geocryological researches].Moscow: Publishing House of the Moscow University, p. 143. (in Russian)

Frankenstein, S., Tuthill, A. M. (2002). Ice adhesion to locks and dams: past work; future directions? Journal of Cold Regions Engineering, 16 (2). DOI: 10.1061/(ASCE)0887-381X(2002)16:2(83)

Golli, O. R. (2000). Integral'nye zakonomernosti moroznogo pucheniya gruntov i ikh ispol'zovanie pri reshenii inzhenernykh zadach v stroitel'stve [Integral mechanism of frost heaving of soils and application of them in the performance of the engineering challenges in building]. DSc Thesis in Engineering. All-Russian Vedeneev Hydraulic Engineering Research Institute, p. 45. (in Russian)

Harlan, R. L. (1973). Analysis of coupled heat-fluid transport in partially frozen soil. Water Resources Research, 9 (5), pp. 1314–1323. DOI: 10.1029/WR009i005p01314

Hiroshi, S. (2011). Mechanical properties between ice and various materials used in hydraulic structures: The Jin S. Chung Award Lecture, 2010. International Journal for Offshore and Polar Engineering, 21(2), pp. 81–90.

Hyang, Y.–H., Cai, Z.–Y., Zhang, C. (2015). Development of centrifugal model test facility for frost heave of channels. Chinese Journal of Geotechnical Engineering, 37(4), pp. 615–621. DOI: 10.11779/CJGE201504006

Jiang, H., Tian, Y. (2015). Test for frost heaving damage mechanism of rigid – soften composite trapezoidal canal in seasonally frozen ground region. Transactions of the Chinese Society of Agricultural Engineering, 31(16), pp. 145–151.

Karlov, V. D. (1998). Sezonno promerzayushchie grunty kak osnovaniya sooruzheniy [Seasonal freezing soils as foundations of constructions]. DSc Thesis in Engineering. Saint Petersburg State University of Architecture and Civil Engineering, p. 349. (in Russian).

Kibriya, T., Tahir, L. (2015). Adfreeze forces on lightly loaded pile foundations of solar PV farms in cold regions. American Journal of Civil Engineering and Architecture, 3(4), pp. 109–117. DOI: 10.12691/ajcea-3-4-1

Kiselev, M. F. (1971). Meropriiatiia protiv deformatsii zdanii i sooruzhenii ot deistviia sil moroznogo vypuchivaniia fundamentov [Protective measures against deformations buildings and constructions due to the frost uplift of foundations]. Moscow: Stroyizdat, p. 104. (in Russian)

Konrad, J.- M. (1980). Frost heave mechanics. PhD Thesis. University of Alberta, Edmonton, p. 472.

Konrad, J.- M., Morgenstern, N. R. (1980). A mechanistic theory of ice lens formation in fine-grained soils. Canadian Geotechnical Journal, 17(4), pp. 473–486. DOI: 10.1139/t80-056

Ladanyi, D., Foriero, A. (1998). Evolution of frost heaving stresses acting on a pile. In: Proceedings of Seventh International Conference Permafrost. Yellowknife (Canada), Collection Nordicana, 55, pp. 623–633.

Marov, E. A. (1974). Opredelenie normal'nykh i kasatel'nykh sil moroznogo pucheniia v polevykh usloviiakh [Definition of normal and tangential frost heave forces in field conditions]. In: Proceedings of designing complex foundations and bases and performace of survey works. Moscow: Fundamentproekt, pp. 40–49. (in Russian)

Ming, F., Li, D.-Q. (2015). Experimental and theoretical investigations on frost heave in porous media. Mathematical Problems in Engineering, ID 198986, pp. 1–9. DOI: 10.1155/2015/198986

Modisette, J. P., Modisette, J. L. (2014). Pipe Line Frost Heave. Pipeline Simulation Interest Group, 1421, pp. 1–8. Available at: (viewed on: 11.02.2017).

Nevzorov, A. L. (2000). Fundamenty na sezonnopromerzaiushchikh gruntakh [Foundations on seasonal freezing soils]. Moscow: ASV Publishing House, p. 152. (in Russian)

Parmesvaran, V. R. (1981). Adfreeze strength of model piles in ice. Canadian Geotechnical Journal, 18(1), pp. 8–16. DOI: 10.1139/t81-002

Penner, E. (1974). Uplift forces on foundations in frost heaving soils. Canadian Geotechnical Journal, 11(3), pp. 323–338. DOI: 10.1139/t74-034

Penner, E. (2010). Frost-heave uplift forces on foundation. Available at: (viewed on: 02.06.2017).

Peppin, S. S. L., Style, R. W. (2012). The physics of frost heave and ice-lens growth. Available at: (viewed on: 02.07.2017).

Puskov, V. I. (1993). Silovye vozdeistviia moroznogo pucheniia gruntov na fundamenty sooruzhenii i metody ikh rascheta [Force effects of frost heave on building foundations and methods of their calculation]. DSc Thesis in Engineering. Novosibirsk: Siberian State Transport Academy, p. 37. (in Russian)

Roman, L. T., Kotov, P. I. (2016). Modul' deformatsii merzlykh gruntov pri kompressionnykh ispytaniiakh [Modulus of frozen soil deformation under compression tests]. Osnovaniia, fundamenty i mekhanika gruntov [Soil Mechanics and Foundation Engineering], 5, pp. 35–40. (in Russian)

Thomas, H., Cleall, P., Li Y. C., Harris, C., Kern-Luetschg, M. (2009). Modelling of cryogenic processes in permafrost and seasonally frozen soils. Geotechnique, 59 (3), pp. 173–184. DOI: 10.1680/geot.2009.59.3.173

Tolkachev, N. A. (1964). Opredelenie otnositel'nyh normal'nyh sil moroznogo puchenija gruntov [Definition of relative frost heave normal forces]. In: Proceedings of scientific works of the Research Institute of foundations and underground constructions (foundation engineering). Moscow: Stroyizdat, pp.165–170. (in Russian)

Tretiakova, O. V. (2016). Velichiny normal'nykh napriazhenii moroznogo pucheniia, razvivaiushchikhsia v glinistykh gruntakh [Values of normal frost heave stresses, developing in clay-bearing soils]. Transport. Transportnye sooruzheniia. Ekologiia [Transport. Transport Facilities. Ecology], 1, pp. 125–141. (in Russian)

Tsytovich, N. A. (1973). Mekhanika merzlykh gruntov [Mechanics of frozen soils]. Moscow: Vysshaya Shkola, p. 636. (in Russian)

Vyalov, S. S. (1959). Reologicheskie svoistva merzlykh gruntov [Rheological properties of frozen soils]. Moscow: Publishing House of the Academy of Sciences of the USSR, p. 191. (in Russian)



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