Volume 42 Issue 4
Apr.  2021
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WANG Shaojie, ZENG Xiangtai, Lü Aizhong. Analytical Analysis of Non-Circular Hydraulic Lined Tunnels Under Smooth Contact With Transversely Isotropic Rock Mass[J]. Applied Mathematics and Mechanics, 2021, 42(4): 342-353. doi: 10.21656/1000-0887.410182
Citation: WANG Shaojie, ZENG Xiangtai, Lü Aizhong. Analytical Analysis of Non-Circular Hydraulic Lined Tunnels Under Smooth Contact With Transversely Isotropic Rock Mass[J]. Applied Mathematics and Mechanics, 2021, 42(4): 342-353. doi: 10.21656/1000-0887.410182

Analytical Analysis of Non-Circular Hydraulic Lined Tunnels Under Smooth Contact With Transversely Isotropic Rock Mass

doi: 10.21656/1000-0887.410182
Funds:  The National Natural Science Foundation of China(51974124)
  • Received Date: 2020-06-18
  • Rev Recd Date: 2020-07-08
  • Publish Date: 2021-04-01
  • An analytical method for non-circular hydraulic lined tunnels in transversely isotropic rock mass was proposed, with the lining under the smooth contact condition with surrounding rock mass. Based on the complex variable theory, continuous conditions for stresses and displacements at the contact boundary and water pressure boundary condition at the lining free boundary were established. In view of the lining support delay effect and with the power series method, the analytical solution was acquired. Aimed at a horseshoe-shaped lined tunnel constructed in transversely isotropic rock mass with inclined structural face, the correctness of this method was validated by analytical check and numerical comparison. Distributions of stress and displacement at the contact boundary and lining free boundary under the effects of anisotropic property and water pressures were discussed.
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