Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2023-5pp.1806-1820

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Song-Chol Ri, Shuhong Wang, and Hak-Son Jin, "Scattering of Plane SH Waves Around a Lined Tunnel in the Covering Layer of Composite Strata," Mech. Solids. 58 (5), 1806-1820 (2023)
Year 2023 Volume 58 Number 5 Pages 1806-1820
DOI 10.3103/S002565442360112X
Title Scattering of Plane SH Waves Around a Lined Tunnel in the Covering Layer of Composite Strata
Author(s) Song-Chol Ri (School of Resource and Civil Engineering, Northeastern University, Shenyang, 110819 China; Department of Mechanical Science, Kim Chaek University of Technology, Pyongyang, 950003 Democratic People’s Republic of Korea, rsc320@163.com)
Shuhong Wang (School of Resource and Civil Engineering, Northeastern University, Shenyang, 110819 China; Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang, 110819 China, shwang@mail.neu.edu.cn)
Hak-Son Jin (Faculty of Energy Science, Kim Il Sung University, Pyongyang, 950003 Democratic People’s Republic of Korea)
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.
Keywords SH wave, scattering, conformal mapping, dynamic response, composite strata
Received 14 March 2023Revised 06 July 2023Accepted 08 July 2023
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