Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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Issued 6 times a year
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IssuesArchive of Issues2022-7pp.1781-1792

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L.A. Alexeyeva, V.N. Ukrainets, and S.R. Girnis, "Stress-Strain State of a Shallow Tunnel Supported by a Three-Layer Shell Affected by Transport Loads," Mech. Solids. 57 (7), 1781-1792 (2022)
Year 2022 Volume 57 Number 7 Pages 1781-1792
DOI 10.3103/S0025654422070032
Title Stress-Strain State of a Shallow Tunnel Supported by a Three-Layer Shell Affected by Transport Loads
Author(s) L.A. Alexeyeva (Institute of Mathematics and Mathematical Modeling, Almaty, 050010 Kazakhstan, alexeeva@math.kz)
V.N. Ukrainets (Toraighyrov University, Pavlodar, 140008 Kazakhstan, ukrainets.v@teachers.tou.edu.kz)
S.R. Girnis (Toraighyrov University, Pavlodar, 140008 Kazakhstan, girnis.s@teachers.tou.edu.kz)
Abstract The problem of the effect of a load moving at a constant velocity over a three-layer circular cylindrical shell in an elastic half-space is solved. The dynamic equations of the elasticity theory in the Lamé potentials are used to describe the motion of the half-space and the inner layer of the shell. Oscillations of the outer layers of the shell are described based on the classical equations of the theory of thin shells. The solution has been obtained for the case when the velocity of the load is less than the velocity of the Rayleigh wave and the critical velocities of the latter. Based on the solution of the problem, the stress-strain state is studied for a shallow tunnel reinforced with the use of a three-layer steel-concrete lining affected by a symmetric or asymmetric normal load originating from the intratunnel transport uniformly moving along its tray.
Keywords tunnel, elastic half-space, three-layered shell, moving load, stress-strain state
Received 10 August 2021Revised 20 January 2022Accepted 25 January 2022
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