- American Concrete Institute. (2008). Building code requirements for structural concrete (ACI 318-08) and commentary.
- Azadi, M., Ghasemi, S. H., & Mohammadi, M. (2020). Reliability analysis of tunnels with consideration of the earthquakes extreme events. Geomechanics and Engineering, 22(5), 433–439.
- Chen, J., Xu, C., El Naggar, H. M., & Du, X. (2022). Study on seismic performance and index limits quantification for prefabricated subway station structures. Soil Dynamics and Earthquake Engineering, 162, 107460.
- Feng, X., Xie, Y., Liu, S., & Yang, F. (2023). Influence and optimization of geometric parameters for small-radius curved tunnel based on response surface method. Applied Sciences, 13(6), 3800.
- Golshani, A., & Rezaei Badashiani, M. (2020). A numerical study on parameters affecting seismic behavior of cut and cover tunnel. Geotechnical and Geological Engineering, 38, 2039–2060.
- Hasofer, A. M., & Lind, N. C. (1974). Exact and invariant second-moment code format. Journal of Engineering Mechanics, 100(1), 111–121.
- He, Z., Xu, H., Gardoni, P., Zhou, Y., Wang, Y., & Zhao, Z. (2022). Seismic demand and capacity models, and fragility estimates for underground structures considering spatially varying soil properties. Tunnelling and Underground Space Technology, 119, 104231. https://doi.org/10.1016/j.tust.2021.104231
- Li, B., Yao, K., & Li, H. (2020). Deterministic and reliability-based design of necessary support pressures for tunnel faces. Geomechanics and Engineering, 22(1), 35–48.
- Liu, X., Han, Y., Yu, C., Xiong, F., Zhou, X., & Deng, Z. (2020). Reliability assessment on stability of tunnel-type anchorages. Computers and Geotechnics, 125, 103661.
- Lü, Q., Sun, H. Y., & Low, B. K. (2011). Reliability analysis of ground–support interaction in circular tunnels using the response surface method. International Journal of Rock Mechanics and Mining Sciences, 48(8), 1329–1343.
- Momenzadeh, M., Koopialipoor, M., Tootoonchi, H., Khalili, F., Khorami, S., & Khorami, S. (2019). Investigation of seismic reliability index in shallow underground tunnels by combining three methods of surface response, Hasofer–Lind and finite element method. Geotechnical and Geological Engineering, 37, 3903–3914.
- Montgomery, D. C., & Anderson-Cook, C. M. (2009). Response surface methodology: Process and product optimization using designed experiments (3rd ed.). Wiley.
- Sun, B., Zhang, S., Deng, M., & Wang, C. (2020). Inelastic dynamic response and fragility analysis of arched hydraulic tunnels under as-recorded far-fault and near-fault ground motions. Soil Dynamics and Earthquake Engineering, 132, 106070.
- Tan, Y., Yang, M., & Li, X. (2020). Dynamic response of a circular lined tunnel with an imperfect interface embedded in the unsaturated poroelastic medium under P wave. Computers and Geotechnics, 122, 103514.
- Wang, C., Ding, X., Chen, Z., Feng, L., & Han, L. (2021). Seismic response of utility tunnels subjected to different earthquake excitations. Geomechanics and Engineering, 24(1), 67–79.
- Wang, Y., He, J., Shu, S., Zhang, H., & Wu, Y. (2022). Seismic responses of rectangular tunnels in liquefiable soil considering spatial variability of soil properties. Soil Dynamics and Earthquake Engineering, 162, 107489.
- Wu, P., Yang, T., & Jia, W. (2019). Reliability analysis and prediction on tunnel roof under blasting disturbance. KSCE Journal of Civil Engineering, 23, 4036–4046.
- Zhang, J. H., Xu, P., Sun, W. C., & Li, B. (2022). Seismic reliability analysis of shield tunnel faces under multiple failure modes by pseudo-dynamic method and response surface method. Journal of Central South University, 29(5), 1553–1564.
- Zhu, J., Li, X., & Liang, J. (2020). Seismic responses of a long lined tunnel in layered poro-viscoelastic half-space by a hybrid FE-BE method. Engineering Analysis with Boundary Elements, 114, 94–113.
- Sekfali, N., & Lafifi, B. (2025). Mechanically Stabilized Earth Wall Reliability Analysis Using Response Surface Methodology, ANN, ANFIS and Multi-objective Genetic Algorithm. Periodica Polytechnica Civil Engineering, 69(1), 159-174.
- Fang, Y., Su, Y., Zhang, J., Feng, K., & He, C. (2025). An Efficient Probabilistic Approach to Tunnel Reliability Problems Considering Properties of Performance Functions. International Journal for Numerical and Analytical Methods in Geomechanics, 49(17), 4141-4159.
- Wang, X. L., Chen, X. Y., & Yan, W. D. (2026). Reliability evaluation framework of tunnel linings considering freeze–thaw degradation, cracking and carbonation: a gamma process and PDEM approach. Structure and Infrastructure Engineering, 1-18.
- Fattahi, H., & Hematian, M. (2025). Integrating block theory and reliability methods for enhanced stability in underground construction: a case study. Mining, Metallurgy & Exploration, 42(3), 1693-1715.
- Feng, Z., Zhao, H., Li, S., Shen, M., Yang, J., & Xiao, Y. (2025). Uncertainty analysis of mechanical response of surrounding rock in deeply buried tunnels using machine learning and global optimisation algorithms. Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards, 1-24.
- Luo, Q., & Wang, Z. (2026). Stochastic seismic response analysis and seismic reliability assessment of the mountain tunnel considering spatial variability of the fault fracture zone. Soil Dynamics and Earthquake Engineering, 200, 109808.
- Wang, Z., Luo, Q., An, J., & Wang, B. (2025). Stochastic seismic responses and seismic reliability assessment of the immersed tunnel considering the coupling effect of water- soil. Computers and Geotechnics, 187, 107466.
- Mohsenian, V., & Di-Sarno, L. (2025). The role of non-structural components in the seismic reliability of concrete tunnel-form building structures: Multi-level and multi-objective approaches. Soil Dynamics and Earthquake Engineering, 192, 109307.
- Mei, X., Wu, J., Li, B., Cui, Z., Yu, C., Sheng, Q., & Chen, J. (2025). Probabilistic seismic response analysis of tunnel linings considering coupled rock mass property and earthquake excitation uncertainties. Underground Space.
- Fatima, T., Sadique, M. R., Alam, A. A., Alam, M. M., Ahmad, S., & Lu, C. W. (2026). A finite element analysis of the effect of structural geology on the seismic behaviour of tunnels. Modeling Earth Systems and Environment, 12(2), 76.
