Stress-Strain State of a Shallow Tunnel Supported by a Three-Layer Shell Affected by Transport Loads

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.