Issue 53

A. Kostina et alii, Frattura ed Integrità Strutturale, 53 (2020) 394-405; DOI: 10.3221/IGF-ESIS.53.30 405 A CKNOWLEDGMENTS his research was supported by 17-11-01204 project (Russian Science Foundation). R EFERENCES [1] Levin, L. Yu, Semin, M.A. and Plekhov, O.A. (2018). Comparative analysis of existing methods for calculation frozen wall thickness for mine shafts under construction, Bulletin of PNRPU. Construction and Architecture, 9(4), pp. 93-103. DOI: 10.15593/2223-9826/2018.4.09. [2] Lai, Y., Xu, X., Dong, Y. and Li, S. (2013). Present situation and prospect of mechanical research on frozen soils in China, Cold Reg. Sci. Technol., 87, pp. 6-18. DOI: 10.1016/j.coldregions.2012.12.001 [3] Liu, X., Liu, E., Zhang, D., Zhang, G. and Song, B. (2019). Study on strength criterion for frozen soil. Cold Reg. Sci. Technol.,161, pp. 1-20. DOI: 10.1016/j.coldregions.2019.02.009. [4] Nishimura, S., Gens, A., Olivella, S. and Jardine, R. J. (2009). THM-coupled finite element analysis of frozen soil: formulation and application, Geotechnique, 59(3), p. 159. DOI: 10.1680/geot.2009.59.3.159. [5] Ghoreishian, A. S. A., Grimstad, G., Kadivar, M. and Nordal, S. (2016). Constitutive model for rate-independent behavior of saturated frozen soils. Can. Geotech. J., 53(10), pp. 1646-1657. DOI: 10.1139/cgj-2015-0467. [6] Na, S. H. and Sun, W. C. (2017). Computational thermo-hydro-mechanics for multiphase freezing and thawing porous media in the finite deformation range. Comput. Methods. Appl. Mech. Eng.,318, pp. 667-700. DOI: 10.1016/j.cma.2017.01.028. [7] Liu, E., Lai, Y., Wong, H. and Feng, J. (2018). An elastoplastic model for saturated freezing soils based on thermo- poromechanics. Int. J. Plasticity, 107, pp. 246-285. DOI: 10.1016/j.ijplas.2018.04.007. [8] Alonso, E. E., Gens, A. and Josa, A. (1990). A constitutive model for partially saturated soils, Géotechnique, 40(3), pp. 405-430. DOI: 10.1680/geot.1990.40.3.405. [9] Liu, E. L. and Xing H. L. (2009). A double hardening thermo-mechanical constitutive model for overconsolidated clays. Acta Geotech., 4(1), pp. 1-6. DOI: 10.1007/s11440-008-0053-4. [10] Vyalov, S.S., Zaretsky, Y.K., Gorodetsky, S.E. (1979). Stability of mine workings in frozen soils, Engineering Geology, 13 (1-4), pp. 339-351. DOI: 10.1016/0013-7952(79)90041-3. [11] Vyalov, S.S. (1986). Rheological fundamentals of soil mechanics. Elsevier, Amsterdam, the Netherlands [12] Zhelnin, M., Kostina, A., Plekhov, O., Panteleev, I. and Levin, L. (2019). Frattura ed Integrità Strutturale, 49, pp. 156- 166. DOI: 10.3221/IGF-ESIS.49.17. T