Stability Analysis of Tunnel Face Using the Smoothed Finite Element

  • Wang Wei ,
  • Liu Fengtao ,
  • Zhou Xiwen ,
  • Yang Sihai ,
  • Tang Liansheng
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  • 1. China Road and Bridge Engineering Co. Ltd., Beijing 100011, P.R. China;
    2. School of Civil Engineering, Guilin University of Technology, Guilin, Guangxi 541004, P.R. China;
    3. Department of Civil and Environmental Engineering, Hong Kong Polytechnic University, Hong Kong 999077, P.R. China;
    4. School of Earth Sciences and Engineering, Sun Yat-Sen University, Zhuhai, Guongdong 519000, P.R. China

Received date: 2023-09-11

  Online published: 2024-05-09

Abstract

Tunnel face stability is one of important issues affecting the safety of underground engineering construction. The limit analysis based on the upper and lower bound theorem is one of the commonly used methodologies for analyzing the stability of the tunnel face. Among such methods, the adaptive mixed constant-smoothed strain limit analysis (MCSE-LA) method has been proved to have certain advantages over traditional finite element limit analysis in terms of computational accuracy, efficiency, and convergence. Based on it, the feasibility of the adaptive MCSE-LA in the stability analysis of the tunnel face is verified first, and it is found that the stability index (stability number) of the tunnel face obtained by this method is the same as that of the traditional finite element limit analysis. At the same time, the failure modes of tunnel face can also be obtained by adaptive mesh refinement based on the maximum shear strain rate. In addition, this method is also used to analyze the influence of the length of unsupported section of the tunnel excavation on the stability of the face, and the change law of the stability number with the increase of the length is analyzed and summarized, which has certain significance for guiding the construction of underground engineering.

Cite this article

Wang Wei , Liu Fengtao , Zhou Xiwen , Yang Sihai , Tang Liansheng . Stability Analysis of Tunnel Face Using the Smoothed Finite Element[J]. Chinese Journal of Underground Space and Engineering, 2024 , 20(2) : 606 -614 . DOI: 10.20174/j.JUSE.2024.02.27

References

[1]宋春霞, 黄茂松, 吕玺琳. 非均质地基中平面应变隧道开挖面稳定上限分析[J]. 岩土力学, 2011, 32(9): 2645-2650, 2662. (Song Chunxia, Huang Maosong, Lü Xilin. Upper bound analysis of plane strain tunnel in nonhomogeneous clays[J]. Rock and Soil Mechanics, 2011, 32(9): 2645-2650, 2662. (in Chinese))
[2]黄茂松, 宋春霞, 王浩然. 基于上限定理的软土隧道开挖面稳定性分析[J]. 防灾减灾工程学报, 2014, 34(3): 330-335. (Huang Maosong, Song Chunxia, Wang Haoran. Upper bound limit analysis for face stability of shield tunnel[J]. Journal of Disaster Prevention and Mitigation Engineering, 2014, 34(3): 330-335. (in Chinese))
[3]付亚雄, 郑宏. 软黏土地层顶管隧道掌子面稳定性数值研究[J]. 地下空间与工程学报, 2017, 13(增2): 623-632. (Fu Yaxiong, Zheng Hong. Numerical research on face stability of pipe jacking tunnel in soft clay[J]. Chinese Journal of Underground Space and Engineering, 2017, 13(Supp.2): 623-632. (in Chinese))
[4]胡亚峰, 董新平, 马晓良, 等. 浅埋软弱地层隧道施工中掌子面稳定性研究[J]. 地下空间与工程学报, 2013, 9(6): 1368-1372, 1385. (Hu Yafeng, Dong Xinping, Ma Xiaoliang, et al. Analysis on face stability of shallow buried tunnel in weak formation during its construction[J]. Chinese Journal of Underground Space and Engineering, 2013, 9(6): 1368-1372, 1385. (in Chinese))
[5]蒲松, 叶来宾, 余涛, 等. 白马隧道软弱围岩掌子面稳定性研究[J]. 地下空间与工程学报, 2022, 18(增1): 194-201. (Pu Song, Ye Laibin, Yu Tao, et al. Research on the face stability in soft surrounding rock of Baima tunnel[J]. Chinese Journal of Underground Space and Engineering, 2022, 18(Supp.1): 194-201. (in Chinese))
[6]朱正国,李文江,刘志春,等.软弱围岩隧道掌子面挤出变形特征分析[J].地下空间与工程学报,2017,13(3):711-716,736.(Zhu Zhengguo,Li Wenjiang,Liu Zhichun,et al.Characteristics analysis of tunnel face extrusion deformation in weak surrounding rock[J].Chinese Journal of Underground Space and Engineering,2017,13(3):711-716,736.(in Chinese))
[7]张光武.基于筒仓理论的近接断层掌子面稳定分析模型[J].地下空间与工程学报,2016,12(增2):663-668.(Zhang Guangwu.Stability analysis model of tunnel face closed to fault based on silo theory[J].Chinese Journal of Underground Space and Engineering,2016,12(Supp.2):663-668.(in Chinese))
[8]Augrade C E, Lyamin A V, Sloan S W. Stability of an undrained plane strain heading revisited[J]. Computers and Geotechnics, 2003, 30(5): 419-430.
[9]Davis E H, Gunn M J, Mair R J, et al. The stability of shallow tunnels and underground openings in cohesive material[J]. Géotechnique, 1980, 30(4): 397-416.
[10]Leca A E, Dormieux L. Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material[J]. Géotechnique, 1990, 40(4): 581-606.
[11]Sloan S W, Assadi A. Undrained stability of a plane strain heading[J]. Canadian Geotechnical Journal, 1994, 31(3): 443-450.
[12]宋春霞, 黄茂松, 周维祥. 黏土地层隧道开挖面三维稳定性上限分析[J]. 岩土工程学报, 2015, 37(4): 650-658. (Song Chunxia, Huang Maosong, Zhou Weixiang. Three-dimensional face stability analysis of tunnels in cohesive soils by upper bound limit method[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(4): 650-658. (in Chinese))
[13]王鸿宇, 黄茂松, 唐震. 基于块体剪流组合机构的黏土隧道三维开挖面稳定分析[J]. 岩土工程学报, 2022, 44(8): 1376-1385. (Wang Hongyu, Huang Maosong, Tang Zhen. Three-dimensional undrained stability analysis of circular tunnels based on combined mechanism of a translational block and a shear zone[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(8): 1376-1385. (in Chinese))
[14]Shiau J, Al-Asadi F. Two-dimensional tunnel heading stability factors Fc, Fs and Fγ[J]. Tunnelling and Underground Space Technology, 2020, 97: 103293.
[15]Shiau J, Al-Asadi F. Determination of critical tunnel heading pressures using stability factors[J]. Computers and Geotechnics, 2020, 119: 103345.
[16]Jafari P, Fahimifar A. Upper-bound face stability analysis of rectangular shield-driven tunnels in undrained clays[J]. Computers and Geotechnics, 2022, 146: 104739.
[17]Nagtegaal J C, Parks D M, Rice J R. On numerically accurate finite element solutions in the fully plastic range[J]. Computer Methods in Applied Mechanics and Engineering, 1974, 4(2): 153-177.
[18]Sloan S W, Kleeman P W. Upper bound limit analysis using discontinuous velocity fields[J]. Computer Methods in Applied Mechanics and Engineering, 1995, 127(1): 293-314.
[19]Makrodimpoulos A, Martin C M. Upper bound limit analysis using simplex strain elements and second-order cone programming[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2007, 31(6): 835-865.
[20]Chen J S, Wu C T, Yoon S, et al. A stabilized conforming nodal integration for Galerkin mesh-free methods[J]. International Journal for Numerical Methods in Engineering, 2001, 50(2): 435-466.
[21]Liu G R, Trung N. Smoothed finite element methods[M]. CRC Press, 2016.
[22]Le C V, Nguyen-Xuan H, Askes H, et al. A cell-based smoothed finite element method for kinematic limit analysis[J]. International Journal for Numerical Methods in Engineering, 2010, 83(12): 1651-1674.
[23]Nguyen-Xuan H, Wu C T, Liu G R. An adaptive selective ES-FEM for plastic collapse analysis[J]. European Journal of Mechanics - A/Solids, 2016, 58: 278-290.
[24]Nguyen-Xuan H, Liu G R. An edge-based finite element method (ES-FEM) with adaptive scaled-bubble functions for plane strain limit analysis[J]. Computer Methods in Applied Mechanics and Engineering, 2015, 285: 877-905.
[25]Zhou X, Liu F, Dai B, et al. A novel centroid-enriched edge-based smoothed radial point interpolation method for upper bound limit analysis[J]. Computers and Geotechnics, 2021, 140: 104473.
[26]Zhou X W, Liu F T, Yin Z Y, et al. A mixed constant-stress smoothed-strain element with a cubic bubble function for elastoplastic analysis using second-order cone programming[J]. Computers and Geotechnics, 2022, 145: 104701.
[27]Zhou X W, Liu F T, Jin Y F, et al. A volumetric locking-free stable node-based smoothed finite element method for geomechanics[J]. Computers and Geotechnics, 2022, 149: 104856.
[28]周锡文, 刘锋涛, 戴北冰, 等. 基于混合常应力-光滑应变单元的极限分析方法[J]. 岩土力学, 2022, 43(6): 1660-1670. (Zhou Xiwen, Liu Fengtao, Dai Beibing, et al. Limit analysis method based on mixed constant stress-smoothed strain element[J]. Rock and Soil Mechanics, 2022, 43(6): 1660-1670. (in Chinese))
[29]Krabbenhoft K, Lyamin A V, Sloan S W. Formulation and solutionof some plasticity problems as conic programs[J]. International Journal of Solids and Structures, 2007, 44(5): 1533-1549.
[30]Wu C T, Hu W. A two-level mesh repartitioning scheme for the displacement-based lower-order finite element methods in volumetric locking-free analyses[J]. Computational Mechanics, 2012, 50(1): 1-18.
[31]Shewchuk J R. Delaunay refinement algorithms for triangular mesh generation[J]. Computational Geometry, 2002, 22(1-3): 21-74.
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