 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 57, Issue 6 / 2022 | Next article >> |
| Song-Chol Ri, Shuhong Wang, and Kyong-Chol Kim, "Dynamic Response of a Shallow Lined Tunnel to SH Waves in a Homogeneous Half Space," Mech. Solids. 57 (6), 1512-1523 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
6 |
Pages |
1512-1523 |
| DOI |
10.3103/S0025654422060115 |
| Title |
Dynamic Response of a Shallow Lined Tunnel to SH Waves in a Homogeneous Half Space |
| 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)
Kyong-Chol Kim (Faculty of Applied Chemical Engineering, Kim Chaek University of Technology, Pyongyang, 950003 Democratic People's Republic of Korea) |
| Abstract |
In this paper, we derive the analytical solution for the dynamic stress concentration factor (DSCF) of a lined tunnel buried in a homogeneous half space where plane SH waves are incident, by applying the complex function method. The conformal transformation is used to obtain an accurate solution for the corresponding boundary value problem. A physical plane with a cylindrical line is mapped into an image plane consisting of three concentric circles by expressing the wave potentials of the medium in terms of a complex variable and introducing the conformal mapping. By applying the boundary conditions on three surfaces and the principle of orthogonality of trigonometric functions, a system of an infinite number of equations is constructed and the unknown coefficients for the scattered wave functions are calculated. In order to confirm the accuracy of the method, the solution results are compared with the results obtained in the previous studies. Then, the DSCFs on the outer and inner surfaces of the tunnel wall are calculated considering the several parameters of media and various conditions, and the results are discussed. |
| Keywords |
SH wave, scattering, complex function method, dynamic stress concentration factor (DSCF) |
| Received |
28 June 2022 | Revised |
21 August 2022 | Accepted |
26 August 2022 |
| Link to Fulltext |
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