Fracture and Structural Integrity e-ISSN 1971-8993 Open access
SI: Russian mechanics contributions for Structural Integrity Vol. 13, No. 49 (2019)

Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness

Author and affiliation details
  • Maxim Zhelnin Corresponding author Institute of continuous media mechanics of the Ural Branch of Russian Academy of Sciences zhelnin.m@icmm.ru
  • Anastasiia Kostina
  • Oleg Plekhov
  • Ivan Panteleev
  • Lev Levin
DOI
10.3221/IGF-ESIS.49.17
Pages
156-166
Published
Published inVol. 13, No. 49 (2019)Go to the issue

Abstract

Artificial ground freezing is an efficient technique which allows one to sink the mine shafts under complex hydrogeological conditions. The aim of artificial ground freezing is a creation of a temporary wall of frozen soil around the intended excavation. To estimate an optimal thickness of an ice-soil wall, the Vyalov’s formula is widely used by engineers. The article is devoted to analysis of Vyalov’s formula on the basis of the numerical simulation. The numerical simulation has been conducted by the finite element method. For the simulation of a stress-strain state of an ice-soil wall a new computational scheme has been proposed. The scheme is based on Vyalov’s design layout for a vertical shaft sinking and takes into account a soil layer beyond the excavation bottom. A mechanical behavior of frozen soil is described by Vyalov’s constitutive relations. As a result, it has been shown that values of the wall thickness given by Vyalov’s formula do not agree with the ones obtained by the numerical simulation. In order to conform results given by Vyalov’s formula and the numerical simulation, two modifications of the formula have been proposed.

Keywords

Article history

  1. ReceivedUntil the next stage: 33 days
  2. Revision requestedUntil the next stage: 7 days
  3. RevisedUntil the next stage: 2 days
  4. AcceptedUntil the next stage: 40 days
  5. Published

How to cite

APA

Zhelnin, M., Kostina, A., Plekhov, O., Panteleev, I., & Levin, L. (2019). Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness. Fracture and Structural Integrity, 13(49), 156–166. https://doi.org/10.3221/IGF-ESIS.49.17

IEEE

M. Zhelnin, A. Kostina, O. Plekhov, I. Panteleev, and L. Levin, “Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness,” Fracture and Structural Integrity, vol. 13, no. 49, pp. 156–166, 2019, doi: 10.3221/IGF-ESIS.49.17.

MLA

Zhelnin, Maxim, et al. “Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness.” Fracture and Structural Integrity, vol. 13, no. 49, 2019, pp. 156–166. https://doi.org/10.3221/IGF-ESIS.49.17.

Chicago

Zhelnin, Maxim, Anastasiia Kostina, Oleg Plekhov, Ivan Panteleev, and Lev Levin. 2019. “Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness.” Fracture and Structural Integrity 13 (49): 156–166. https://doi.org/10.3221/IGF-ESIS.49.17.

Harvard

Zhelnin, M., Kostina, A., Plekhov, O., Panteleev, I. and Levin, L. (2019) ‘Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness’, Fracture and Structural Integrity, 13(49), pp. 156–166. doi: 10.3221/IGF-ESIS.49.17.

Vancouver

Zhelnin M, Kostina A, Plekhov O, Panteleev I, Levin L. Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness. Fracture and Structural Integrity. 2019;13(49):156-166. doi:10.3221/IGF-ESIS.49.17

BibTeX

@article{zhelnin2019, author = {Zhelnin, Maxim and Kostina, Anastasiia and Plekhov, Oleg and Panteleev, Ivan and Levin, Lev}, title = {Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness}, journal = {Fracture and Structural Integrity}, year = {2019}, volume = {13}, number = {49}, pages = {156--166}, doi = {10.3221/IGF-ESIS.49.17}, url = {https://doi.org/10.3221/IGF-ESIS.49.17}, issn = {1971-8993} }

RIS

TY - JOUR AU - Zhelnin, Maxim AU - Kostina, Anastasiia AU - Plekhov, Oleg AU - Panteleev, Ivan AU - Levin, Lev TI - Numerical analysis of application limits of Vyalov’s formula for an ice-soil thickness JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2019 DA - 2019/06/25 VL - 13 IS - 49 SP - 156 EP - 166 DO - 10.3221/IGF-ESIS.49.17 UR - https://doi.org/10.3221/IGF-ESIS.49.17 SN - 1971-8993 ER -

Licence

Copyright © 2019 Maxim Zhelnin, Anastasiia Kostina, Oleg Plekhov, Ivan Panteleev, Lev Levin.

Copyright 
Authors are allowed to retain both the copyright and the publishing rights of their articles without restrictions.  

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