Method for Estimating Tensile Stresses and Elastic Modulus of Frozen Soil with Evolving Crack

  • Gennady Kolesnikov
  • Timmo GavrilovEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1116)


Strength characteristics and Young’s modulus of frozen soil are necessary for the analysis of many engineering problems. However, a number of issues in this area remain relevant. The purpose of this work: the development of a technique for indirect determination of tensile stresses and modulus of elasticity of frozen soil using three-point bending tests with evolving crack. Object of study: beams with a rectangular cross-section width of 55 mm, height 39 mm and a length of 320 mm made of artificially frozen sandy loam. The subject of research is the regularities of behavior under load of the beam with an evolving crack, and the corresponding tensile stress at the three-point bending. Methods: in this study, the methods of mathematical processing of the results of the testing, received at the SHIMADZU AGS-X test machine at three-point bending of a beam with evolving crack. The moisture content in the material for each sample was measured using SHIMADZU MOS-120H moisture analyzer. Results: it is found that the load extremum does not correspond to the extremum of the tensile stress in the cross section of the beam with crack. The tensile stress extremum is offset and corresponds to the downward branch of the curve “load – deflection”. This means that the destruction of the material under the action of tensile stresses occurs not at maximum load but at the maximum value of tensile stresses at the downward branch of the curve “load – deflection”. The practical significance of this result lies in the possibility of its use both in the design of new structures and in the inspection of structures in disrepair.


Frozen sandy loam Three-point bending Young’s modulus Load extremum Tensile stress extremum “load – deflection” curve 


  1. 1.
    Chang, D., Lai, Y., Zhang, M.: A meso-macroscopic constitutive model of frozen saline sandy soil based on homogenization theory. Int. J. Mech. Sci. 159, 246–259 (2019)CrossRefGoogle Scholar
  2. 2.
    Aksenov, V.I., Gevorkyan, S.G., Doroshin, V.V.: Dependence of strength and physical properties of frozen sands on moisture content. Soil Mech. Found. Eng. 54(6), 420–424 (2018)CrossRefGoogle Scholar
  3. 3.
    Roman, L.T., Merzlyakov, V.P., Maleeva, A.N.: Thermal deformation of frozen soils: role of water and gas saturation. Earth’s Cryosphere 21(3), 24–31 (2017)Google Scholar
  4. 4.
    Volokhov, S.S., Nikitin, I.N., Lavrov, D.S.: Temperature deformations of frozen soils caused by rapid changes in temperature. Mosc. Univ. Geol. Bull. 72(3), 224–229 (2017)CrossRefGoogle Scholar
  5. 5.
    Teltayev, B.B., Liu, J., Suppes, E.A.: Distribution of temperature, moisture, stress and strain in the highway. Mag. Civ. Eng. 83(7), 102–113 (2018)Google Scholar
  6. 6.
    Pereira, P., Pais, J.A.: Main flexible pavement and mix design methods in Europe and challenges for the development of an European method. J. Traffic Transp. Eng. 4, 316–346 (2017)Google Scholar
  7. 7.
    Ivanov, K.S.: Granulated foam-glass ceramics for ground protection against freezing. Mag. Civ. Eng. 79(3), 95–102 (2018)Google Scholar
  8. 8.
    Duvillard, P.A., Ravanel, L., Marcer, M., Schoeneich, P.: Recent evolution of damage to infrastructure on permafrost in the French Alps. Reg. Environ. Change 19, 1281–1293 (2019)CrossRefGoogle Scholar
  9. 9.
    Merzlyakov, V.P.: Physical and mechanical conditions for primary frost crack formation. Soil Mech. Found. Eng. 53, 221–225 (2016)CrossRefGoogle Scholar
  10. 10.
    Wang, W., Qi, J., Yu, F., Liu, F.: A novel modeling of settlement of foundations in permafrost regions. Geomech. Eng. 10(2), 225–245 (2016)CrossRefGoogle Scholar
  11. 11.
    Ming, F., Li, D., Zhang, M., Zhang, Y.: A novel method for estimating the elastic modulus of frozen soil. Cold Reg. Sci. Technol. 141, 1–7 (2017)CrossRefGoogle Scholar
  12. 12.
    Azmatch, T.F., Sego, D.C., Arenson, L.U., Biggar, K.W.: Tensile strength and stress–strain behavior of Devon silt under frozen fringe conditions. Cold Reg. Sci. Technol. 68, 85–90 (2011)CrossRefGoogle Scholar
  13. 13.
    Shen, Z.Y., Liu, Y.Z., Peng, W.W., Chang, X.X.: Application of the radial-splitting method to determining tensile strength of frozen soils. Geocryol 16, 224–231 (1994)Google Scholar
  14. 14.
    Nassr, A., Esmaeili-Falak, M., Katebi, H., Javadi, A., Nassr, A., Esmaeili-Falak, M., Katebi, H., Javadi, A.: A new approach to modeling the behavior of frozen soils. Eng. Geol. 246, 82–90 (2018)CrossRefGoogle Scholar
  15. 15.
    Kolesnikov, G.N., Gavrilov, T.A.: Simulation of the conditions for a low-temperature crack appearance in the asphalt concrete layer of a road. Tomsk. State Univ. J. Math. Mech. 56, 57–66 (2018)CrossRefGoogle Scholar
  16. 16.
    Vvedenskij, V.R., Gendler, S.G., Titova, T.S.: Environmental impact of the tunnel construction. Mag. Civ. Eng. 79(3), 140–149 (2018)Google Scholar
  17. 17.
    Gavrilov, T., Khoroshilov, K., Kolesnikov, G.: Seasonal freezing of a logging dirt road: modeling of conditions of transverse cracks emergence. Resour. Technol. 15(3), 29–42 (2018)CrossRefGoogle Scholar

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Petrozavodsk State UniversityPetrozavodskRussia

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