References
- Augarde CE, Lyamin AV, Sloan SW. Prediction of undrained sinkhole collapse. J Geotech Geoenvironmental Eng. 2003;129(3):197–205. doi:10.1061/(ASCE)1090-0241(2003)129:3(197)
- Bobet A. Effect of pore water pressure on tunnel support during static and seismic loading. Tunn Undergr Space Technol. 2003;18(4):377–393. doi:10.1016/S0886-7798(03)00008-7
- Bobet A. A simple method for analysis of point anchored rockbolts in circular tunnels in elastic ground. Rock Mech Rock Eng. 2006;39(4):315–338. doi:10.1007/s00603-005-0066-3
- Bobet A, Einstein HH. Tunnel reinforcement with rockbolts. Tunn Undergr Space Technol. 2011;26(1):100–123. doi:10.1016/j.tust.2010.06.006
- Flügge W. Stress in shells. Springer Berlin Heidelberg, 1973.
- Li M, Chen HK, Xiong FW. Test research on health criterion of cavities behind the lining. J Chongqing Jiaotong Univ (Nat Sci). 2011;30(3):398–402.
- Li QQ, Zhang DL, Fang Q. Analytic solution to initial damage of cavern strata by complex function method. Chin J Geotech Eng. 2014;36(11):2110–2117.
- Liao LP, Yang WK, Wang QZ. Stability analysis of an ellipsoidal cavity in foundation. Rock Soil Mech. 2010;31(S2):138–148.
- Meguid MA, Dang HK. The effect of erosion voids on existing tunnel linings. Tunn Undergr Space Technol. 2009;24(3):278–286. doi:10.1016/j.tust.2008.09.002
- Meguid MA, Kamel S. A three-dimensional analysis of the effects of erosion voids on rigid pipes. Tunn Undergr Space Technol. 2014;43:276–289. doi:10.1016/j.tust.2014.05.019
- Muenpetch N, Keawsawasvong S, Komolvilas V, et al. Numerical investigation on impact of excavations in influence zone of existing MRT tunnels. Geomech Geoengin, 2023: 1-20.
- Ozcelik M, Aydemir MC. Evaluation of uncertainties in travertine rock mass for the Antalya (Turkey) Metro tunnel excavation. J Taibah Univ Sci. 2021;15(1):295–302. doi:10.1080/16583655.2021.1978832
- Quan XJ, Gao JH, Wang B, et al. Damage mechanisms of soft rock tunnels in the western China: a case study on the dujiashan tunnel. Struct Eng Int. 2022;32(3):369–377. doi:10.1080/10168664.2021.1872051
- Shiba Y, Kawashima K, Obinata N. et al. Evaluation procedure for seismic stress developed in shield tunnels based on seismic deformation method. Doboku Gakkai Ronbunshu, 1989(404): 385-394.
- Timoshenko S. Theory of elasticity. Oxford, 1951.
- Wang J, Huang H, Xie X, et al. Void-induced liner deformation and stress redistribution. Tunn Undergr Space Technol. 2014;40:263–276. doi:10.1016/j.tust.2013.10.008
- Wang WM, Yang GS, Zhang XD, et al. Rock mechanics. Xuzhou: China University of Mining and Technology Press; 2010.
- Wolf JP. Dynamic soil-structure interaction. Englewood Cliffs: Prentice-Hall, 1985.
- Yasuda N, Tsukada K, Asakura T. Elastic solutions for circular tunnel with void behind lining. Tunn Undergr Space Technol. 2017;70:274–285. doi:10.1016/j.tust.2017.08.032
- Yasuda N, Tsukada K, Asakura T. Three-dimensional seismic response of a cylindrical tunnel with voids behind the lining. Tunn Undergr Space Technol. 2019;84:399–412. doi:10.1016/j.tust.2018.11.026
- Yu J, He C, Wang B, et al. Study on effect of cavities behind linings on bearing capacity of tunnel structure by model test. J Highw Transp Res Dev. 2008;25(1):105–110.
- Zhang CP, Feng G, Zhang X, et al. Effect of double voids behind lining on safety state of tunnel structures. Chin J Geotech Eng. 2015;37(3):487–493.