PSI - Issue 32

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2021) 000 – 000

www.elsevier.com/locate/procedia

ScienceDirect

Procedia Structural Integrity 32 (2021) 180–186

© 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the XXIIth Winter School on Continuous Media Mechanics” Abstract The static design of artificial ground freezing during the construction of mine shafts includes the strength analysis of the frozen wall (FW). The existing formulas for FW strength calculation do not take into account the non-uniform distribution of strength properties in the volume of frozen soils. The non-uniform distribution of the properties is caused, first of all, by the non-uniform temperature distribution inside the FW. This article shows the significance of this factor in analyzing the FW thickness. The elastic-plastic stress analysis was carried out under the assumption of an infinite height of the thick-walled cylinder consisting of frozen soil. An integral function was obtained to calculate the FW thickness by strength given the arbitrary radial non-uniformity of the cohesion in the frozen soil volume. Also, an approximate formula is proposed for calculating the FW thickness in the case of a piecewise linear cohesion function of the radial coordinate. © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license ( https://creativecommons.org/licenses/by-nc-nd/4.0 ) Peer- review under responsibility of the scientific committee of the XXIIth Winter School on Continuous Media Mechanics” Keywords: artificial ground freezing; frozen wall; strength analysis; non-uniform strength properties. 1. Introduction The construction of mine shafts and other underground structures in water-flooded or unstable soils requires the application of special methods, one of which is artificial ground freezing. This method involves the creation of a frozen wall (FW) around the designed shaft. The FW prevents the flow of underground water into the shaft during construction (Alzoubi et al. 2020; Semin et al. 2020). XXIIth Winter School on Continuous Media Mechanics Calculation of frozen wall thickness considering the non-uniform distribution of the strength properties Mikhail Semin* Mining institute of the Ural branch of the Russian academy of Sciences, 78-a Sibirskaya st. Perm, Russia, 614111

* Corresponding author. Tel.: +7 (909) 106-20-67; fax: +7 (342) 216-75-02. E-mail address: seminma@inbox.ru

2452-3216 © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license ( https://creativecommons.org/licenses/by-nc-nd/4.0 ) Peer- review under responsibility of the scientific committee of the XXIIth Winter School on Continuous Media Mechanics”

2452-3216 © 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the XXIIth Winter School on Continuous Media Mechanics” 10.1016/j.prostr.2021.09.026