Effect of soil Young’s modulus on Sub-rectangular tunnels behavior under quasi-static loadings
- Tác giả: Vi Van Pham 1, Anh Ngoc Do 1*, Hung Trong Vo 1, Daniel Dias 2,3, Thanh Chi Nguyen 1, Do Xuan Hoi 1
1 Faculty of Civil Engineering, Hanoi University of Mining and Geology, Vietnam 2 School of Automotive and Transportation Engineering, Hefei Univ. of Technology, China
3 Geotechnical expert, Antea Group, Antony, France
- Nhận bài: 18-10-2021
- Sửa xong: 28-01-2022
- Chấp nhận: 21-03-2022
- Ngày đăng: 31-07-2022
- Lĩnh vực: Kỹ thuật Xây dựng
Tunnels are an important component of the transportation and utility system of cities. They are being constructed at an increasing rate to facilitate the need for space expansion in densely populated urban areas and mega-cities. The circular and rectangular tunnels cannot completely meet the requirements of underground space exploitation regarding the cross-section. Sub-rectangular tunnels are recently used to overcome some drawbacks of circular and rectangular tunnels in terms of low utilization space ratio and stress concentration, respectively. However, the behavior of the sub-rectangular tunnels under seismic loading is still limited. This need to be regarded and improved. This paper focuses on conducting a numerical analysis to study the behavior of the sub-rectangular tunnels under seismic loadings. Here seismic loadings in this study are represented by quasi-static loadings. Based on the numerical model of the circular tunnel that was validated by comparison with analytical solutions, the numerical model of the sub-rectangular tunnel is created. This paper is devoted to highlight the differences between the behavior of the sub-rectangular tunnels compared with the circular ones subjected to quasi-static loadings. The soil-lining interaction, i.e., full slip and no-slip conditions are particularly considered. The influence of soil’s Young’s modulus on the sub-rectangular tunnel behavior under quasi-static loading is also investigated. The results indicated that soil’s Young’s modulus significantly affects static, incremental, and total internal forces in the tunnel lining under quasi-static loadings. Special attention is a significant difference in total internal forces in the sub-rectangular tunnel lining in comparison with the circular tunnel ones and the stability of the lining tunnel for both the full slip and no-slip conditions when subjected to quasi-static loadings.
Do, N. A., Dias, D., Zixin, Z., Xin, H., Nguyen T. T., Pham V. V., Ouahcène, N. R., (2020). Study on the behavior of squared and sub-rectangular tunnels using the Hyperstatic Reaction Method. Transportation Geotechnics 22.
FHWA, (2004). Seimic retrofitting manual for highway struttures: Part 2 – retaining strutures, slopes, tunnels, culverts, and roadways. U.S. Department of transportation. Federal Highway Administration. Publication No. FHWA-HRT-05-067.
Hashash, Y. M. A., Park, D. and Yao, J. I. C., (2005). Ovaling deformations of circular tunnels under seismic loading, an update on seismic design and analysis of underground structures. Tunnelling and Underground Space Technology 20, 435-441.
Kouretzis, G., Sloan, S. W. and Carter, J. P., (2013). Effect of interface friction on tunnel liner internal forces due to seismic S- and P-wave propagation. Soil Dynamic and Earthquake Engineering 46, 41-51.
Naggar, H. E., Hinchberge, S. D., Hesham, M. and Naggar, E. I., (2008). Simplified analysis of sesmic in-plane stresses in composite and jointed tunnel linings. Tunnelling and Underground Space Technology 28, 1063-1077.
Nakamura, H., Kubota, T., Furukawa, M., (2003). Unified construction of running track tunnel and crossover tunnel for subway by rectangular shape double track cross-section shield machine. Tunnelling and Underground Space Technology 18(2), 253-262.
Nguyen, D. D., Park, D., Shamsher, S., Nguyen, V. Q., Lee, T. H., (2019). Seismic vulnerability assessment of rectangular cut-and-cover subway tunnels. Tunnelling and Underground Space Technology 86, 247–261.
Nguyen, T. T., Do, N. A., Karasev, M. A., Dang, V. K., Dias, D., (2020). Tunnel Shape Influence on the Tunnel Lining Behavior. Proceeding of ICE - Geotechnical Engineering. doi.org/10.1680/jgeen.20.00057.
Park, K. H., Tantayopin, K., Tontavanich, B and Owatsiriwong, A., (2009). Analytical solution for seismic-induced ovaling of circular tunnel lining under no-slip interface conditions: A revisit. Tunnelling and Underground Space Technology 24, 231-235.
Zhang, Z. X., Zhu, Y. T., Zhu, Y. F., (2017). Development and application of a 1:1 mechanical test system for special-shaped shield lining with a large cross-section. Chinese Journal of Rock Mechanics and Engineering 12(36), 2895-2905. (in Chinese)
Zhu, Y. T., Zhang, Z. X., Zhu, Y. F., (2017). Capturing the cracking characteristics of concrete lining during prototype tests of a special-shaped tunnel using 3D DIC photogrammetry, Eur J Environ Civ Eng, 1–21.
Zhang, Z.; Zhu, Y.; Huang, X.; Zhu, Y.; Liu, W., (2019). “Standing” full-scale loading tests on the mechanical behavior of a special-shape shield lining under shallowly-buried conditions. Tunnelling and Underground Space Technology 86(1), 34-50.
Các bài báo khác