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Scattering of Plane SH Waves Around a Lined Tunnel in the Covering Layer of Composite Strata

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Abstract

This paper presents analytical solutions to the dynamic response of a lined tunnel in the covering soil layer of composite strata under the incident SH waves by using the complex function method and conformal mapping technique. It is more important to analyze the scattering of elastic waves in the composite stratum because of the existence of boundaries between the soil layers. By applying the conformal mapping technique instead of the large-arc assumption method, the straight boundaries of the covering layer and the circular boundaries of a lined tunnel are transformed into several circles on other complex planes. An infinite linear equation system is established and is solved based on the stress and displacement boundary conditions at the boundaries of the composite stratum and the tunnel lining. The impacts on the dynamic response of a lined tunnel in several types of composite strata, “soft-over-hard” and “hard-over-soft” with “flexible lining” and “rigid lining” are analyzed through the calculation examples.

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ACKNOWLEDGMENTS

This work was conducted with jointly supports from the National Natural Science Foundation of China (Grant nos. 52004052;51808100;U1602232), the Key Research and Development Program of Science and Technology in Liaoning Province, China (2019JH2/10100035).

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Authors and Affiliations

  1. School of Resource and Civil Engineering, Northeastern University, 110819, Shenyang, China

    Song-Chol Ri & Shuhong Wang

  2. Department of Mechanical Science, Kim Chaek University of Technology, 950003, Pyongyang, Democratic People’s Republic of Korea

    Song-Chol Ri

  3. Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, 110819, Shenyang, China

    Shuhong Wang

  4. Faculty of Energy Science, Kim Il Sung University, 950003, Pyongyang, Democratic People’s Republic of Korea

    Hak-Son Jin

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  1. Song-Chol Ri
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  2. Shuhong Wang
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Correspondence to Song-Chol Ri or Shuhong Wang.

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Ri, SC., Wang, S. & Jin, HS. Scattering of Plane SH Waves Around a Lined Tunnel in the Covering Layer of Composite Strata. Mech. Solids 58, 1806–1820 (2023). https://doi.org/10.3103/S002565442360112X

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  • DOI: https://doi.org/10.3103/S002565442360112X

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