Analysis of tunnel lining internal forces under the influence of S and P-waves: An analytical solution and quasi-static numerical method
This paper employs analytical and pseudo-static approaches to analyze the tunnel response under the compression (P) and shear (S) waves. In the first step, Einstein and Schwartz’s method is revised for calculating Tunnel Lining Internal Forces (TLIFs) under P-wave. Next, a comprehensive comparison i...
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| Format: | Article |
| Language: | English |
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KeAi Communications Co., Ltd.
2025-01-01
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| Series: | Rock Mechanics Bulletin |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2773230424000672 |
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| author | Rouhollah Basirat |
| author_facet | Rouhollah Basirat |
| author_sort | Rouhollah Basirat |
| collection | DOAJ |
| description | This paper employs analytical and pseudo-static approaches to analyze the tunnel response under the compression (P) and shear (S) waves. In the first step, Einstein and Schwartz’s method is revised for calculating Tunnel Lining Internal Forces (TLIFs) under P-wave. Next, a comprehensive comparison is performed between TLIFs under S and P-waves in two extreme contact interfaces of no-slip (NS) and full-slip (FS) conditions. Lastly, the effect of the intermediate layer was investigated by quasi-static finite element numerical modeling. The results showed that the maximum value of the axial force under the P-wave exceeds that of the S-wave in both the NS and FS conditions. Also, the amount of bending moment and shear force in both the NS and FS conditions under the S-wave is almost twice the P-wave. In general, the weak interlayer causes a decrease in the maximum axial force and the axial force values in the range of placement of the weak interlayer with the tunnel. Besides, it increases the maximum bending moment and shear force compared to the homogeneous medium. It was also observed that the weak interlayer with low thickness causes unpredictable behavior under S and P-waves. Overall, the presence of a layer with different stiffness led to a significant effect on the TLIFs under S and P-waves and increased the complexity of the dynamic analysis of tunnel lining. Therefore, it should be simulated separately under NS and FS conditions. |
| format | Article |
| id | doaj-art-cfe1dcbc3bad41bb811ec99270ea12bc |
| institution | Kabale University |
| issn | 2773-2304 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | KeAi Communications Co., Ltd. |
| record_format | Article |
| series | Rock Mechanics Bulletin |
| spelling | doaj-art-cfe1dcbc3bad41bb811ec99270ea12bc2025-01-11T06:42:22ZengKeAi Communications Co., Ltd.Rock Mechanics Bulletin2773-23042025-01-0141100168Analysis of tunnel lining internal forces under the influence of S and P-waves: An analytical solution and quasi-static numerical methodRouhollah Basirat0WBI GmbH, Im Technologiepark 3, 69469 Weinheim, GermanyThis paper employs analytical and pseudo-static approaches to analyze the tunnel response under the compression (P) and shear (S) waves. In the first step, Einstein and Schwartz’s method is revised for calculating Tunnel Lining Internal Forces (TLIFs) under P-wave. Next, a comprehensive comparison is performed between TLIFs under S and P-waves in two extreme contact interfaces of no-slip (NS) and full-slip (FS) conditions. Lastly, the effect of the intermediate layer was investigated by quasi-static finite element numerical modeling. The results showed that the maximum value of the axial force under the P-wave exceeds that of the S-wave in both the NS and FS conditions. Also, the amount of bending moment and shear force in both the NS and FS conditions under the S-wave is almost twice the P-wave. In general, the weak interlayer causes a decrease in the maximum axial force and the axial force values in the range of placement of the weak interlayer with the tunnel. Besides, it increases the maximum bending moment and shear force compared to the homogeneous medium. It was also observed that the weak interlayer with low thickness causes unpredictable behavior under S and P-waves. Overall, the presence of a layer with different stiffness led to a significant effect on the TLIFs under S and P-waves and increased the complexity of the dynamic analysis of tunnel lining. Therefore, it should be simulated separately under NS and FS conditions.http://www.sciencedirect.com/science/article/pii/S2773230424000672Tunnel liningDynamic analysisP and S-WavesAnalytical approachQuasi-static method |
| spellingShingle | Rouhollah Basirat Analysis of tunnel lining internal forces under the influence of S and P-waves: An analytical solution and quasi-static numerical method Rock Mechanics Bulletin Tunnel lining Dynamic analysis P and S-Waves Analytical approach Quasi-static method |
| title | Analysis of tunnel lining internal forces under the influence of S and P-waves: An analytical solution and quasi-static numerical method |
| title_full | Analysis of tunnel lining internal forces under the influence of S and P-waves: An analytical solution and quasi-static numerical method |
| title_fullStr | Analysis of tunnel lining internal forces under the influence of S and P-waves: An analytical solution and quasi-static numerical method |
| title_full_unstemmed | Analysis of tunnel lining internal forces under the influence of S and P-waves: An analytical solution and quasi-static numerical method |
| title_short | Analysis of tunnel lining internal forces under the influence of S and P-waves: An analytical solution and quasi-static numerical method |
| title_sort | analysis of tunnel lining internal forces under the influence of s and p waves an analytical solution and quasi static numerical method |
| topic | Tunnel lining Dynamic analysis P and S-Waves Analytical approach Quasi-static method |
| url | http://www.sciencedirect.com/science/article/pii/S2773230424000672 |
| work_keys_str_mv | AT rouhollahbasirat analysisoftunnellininginternalforcesundertheinfluenceofsandpwavesananalyticalsolutionandquasistaticnumericalmethod |