Lining pressure for circular tunnels in two layered clay with anisotropic undrained shear strength

References

• Arthur, J.R.F. and Menzies, B., 1972. Inherent anisotropy in a sand. Geotechnique, 22 (1), 115–128. doi:10.1680/geot.1972.22.1.115.
   Web of Science ®Google Scholar
• Atkinson, J.H. and Potts, D.M., 1977. Stability of a shallow circular tunnel in cohesionless soil. Geotechnique, 27 (2), 203–215. doi:10.1680/geot.1977.27.2.203.
   Web of Science ®Google Scholar
• Bishop, A.W., 1966. The strength of soils as engineering materials. Geotechnique, 16 (2), 91–130. doi:10.1680/geot.1966.16.2.91.
   Web of Science ®Google Scholar
• Casagrande, A. and Carillo, N., 1944. Shear failure of anisotropic soils. Contributions to Soil Mechanics (BSCE), 1941–1953 (4), 122–135.
   Google Scholar
• Chambon, P. and Corte, J.F., 1994. Shallow tunnels in cohesionless soil: stability of tunnel face. Journal of Geotechnical Engineering, 120 (7), 1148–1165. doi:10.1061/(ASCE)0733-9410(1994)120:7(1148).
   Google Scholar
• Davis, E.H., et al., 1980. The stability of shallow tunnels and underground openings in cohesive material. Geotechnique, 30 (4), 397–416. doi:10.1680/geot.1980.30.4.397.
   Web of Science ®Google Scholar
• Davis, E.H. and Christian, J.T., 1971. Bearing capacity of anisotropic cohesive soil. Journal of the Soil Mechanics and Foundation Division, 97 (5), 753‐769.
   Google Scholar
• Drucker, D.C., 1953. Coulomb friction, plasticity and limit loads. Transactions American Society of Mechanical Engineers, 76, 71–74.
   Google Scholar
• Du, D., Dias, D., and Yang, X., 2018. Analysis of earth pressure for shallow square tunnels in anisotropic and non-homogeneous soils. Computers and Geotechnics, 104, 226–236. doi:10.1016/j.compgeo.2018.08.022
   Web of Science ®Google Scholar
• Duncan, J.M. and Seed, H.B., 1966. Anisotropy and stress reorientation in clay. Journal of the Soil Mechanics and Foundation Division, ASCE, 92 (SM5), 21–50. doi:10.1061/JSFEAQ.0000909.
   Google Scholar
• Hagiwara, T., et al., 1999. The effect of overlying strata on the distribution of ground movements induced by tunnelling in clay. Soil and Foundation, 39 (3), 63–73. doi:10.3208/sandf.39.3_63.
   Google Scholar
• Huang, M., et al., 2018. Upper bound solutions for face stability of circular tunnels in non-homogeneous and anisotropic clays. Computers and Geotechnics, 98, 189–196. doi:10.1016/j.compgeo.2018.02.015.
   Web of Science ®Google Scholar
• Hvorslev, M.J., 1960. Physical components of shear strength of saturated clays. In: Proceedings, ASCE Research Conference on Shear Strength of Cohesive Soils. Boulder, CO, 169–273.
   Google Scholar
• Jakobson, B., 1955. Isotropy of clays. Geotechnique, 5 (1), 23–28. doi:10.1680/geot.1955.5.1.23.
   Google Scholar
• Keawsawasvong, S., 2021. Bearing capacity of conical footings on clays considering combined effects of anisotropy and non-homogeneity. Ships and Offshore Structures, 1–12 doi:10.1080/17445302.2021.1987110.
   Web of Science ®Google Scholar
• Keawsawasvong, S. and Likitlersuang, S., 2021. Undrained stability of active trapdoors in two-layered clays. Underground Space, 6 (4), 446–454. doi:10.1016/j.undsp.2020.07.002.
   Web of Science ®Google Scholar
• Keawsawasvong, S. and Ukritchon, B., 2021a. Undrained stability of plane strain active trapdoors in anisotropic and non-homogeneous clays. Tunnelling and Underground Space Technology, 107, 103628. doi:10.1016/j.tust.2020.103628
   Web of Science ®Google Scholar
• Keawsawasvong, S. and Ukritchon, B., 2021b. Design equation for stability of a circular tunnel in anisotropic and heterogeneous clay. Underground Space. doi:10.1016/j.undsp.2021.05.003.
   Google Scholar
• Keawsawasvong, S., Yoonirundorn, K., Senjuntichai, T., 2021. Pullout capacity factor for cylindrical suction caissons in anisotropic clays based on anisotropic undrained shear failure criterion. Transportation Infrastructure Geotechnology, 8,629–644. doi:10.1007/s40515-021-00154-x.
   Google Scholar
• Klar, A., Osman, A.S., and Bolton, M., 2007. 2D and 3D upper bound solutions for tunnel excavation using ‘elastic’flow fields. International Journal for Numerical and Analytical Methods in Geomechanics, 31 (12), 1367–1374. doi:10.1002/nag.597.
   Web of Science ®Google Scholar
• Krabbenhøft, K., et al., 2019. AUS: anisotropic undrained shear strength model for clays. International Journal for Numerical and Analytical Methods in Geomechanics, 43 (17), 2652–2666. doi:10.1002/nag.2990.
   Web of Science ®Google Scholar
• Kumar, B. and Sahoo, J.P., 2020a. Support pressure for circular tunnels in two layered undrained clay. Journal of Rock Mechanics and Geotechnical Engineering, 12 (1), 135–148. doi:10.1016/j.jrmge.2019.04.007.
   Web of Science ®Google Scholar
• Kumar, B. and Sahoo, J.P., 2020b. Support pressure for circular tunnels advanced below water bodies. Tunnelling and Underground Space Technology, 97, 103214. doi:10.1016/j.tust.2019.103214
   Web of Science ®Google Scholar
• Leca, E. and Dormieux, L., 1990. Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material. Géotechnique, 40 (4), 581–606. doi:10.1680/geot.1990.40.4.581.
   Web of Science ®Google Scholar
• Liang, Q., Yao, C., and Xu, J., 2017. Upper bound stability analysis of shield tunnel face in nonhomogeneous and anisotropic soils. Indian Geotechnical Journal, 47 (3), 338–348. doi:10.1007/s40098-017-0224-z.
   Web of Science ®Google Scholar
• Lo, K.Y., 1965. Stability of slopes in anisotropic soils. Journal of the Soil Mechanics and Foundation Division, ASCE, 91 (SM4), 85–106. doi:10.1061/JSFEAQ.0000778.
   Google Scholar
• Lo, K.Y. and Milligan, V., 1967. Shear strength properties of two stratified clays. Journal of the Soil Mechanics and Foundation Division, ASCE, 93 (SM1), 1–15.
   Google Scholar
• Makrodimopoulos, A. and Martin, C.M., 2006. Lower bound limit analysis of cohesive‐frictional materials using second‐order cone programming. International Journal for Numerical Methods in Engineering, 66 (4), 604–634. doi:10.1002/nme.1567.
   Web of Science ®Google Scholar
• MATLAB, 2015. [Computer software]. Natick, MA: MathWorks.
   Google Scholar
• Mosek, A., 2015. The MOSEK optimization toolbox for MATLAB manual. Version 7.1 (Revision 28). Copenhagen, Denmark.
   Google Scholar
• Nunes, M.A. and Meguid, M.A., 2009. A study on the effects of overlying soil strata on the stresses developing in a tunnel lining. Tunnelling and Underground Space Technology, 24 (6), 716–722. doi:10.1016/j.tust.2009.04.002.
   Web of Science ®Google Scholar
• Oda, M., 1972. Initial fabrics and their relations to mechanical properties of granular material. Soils and Foundations, 12 (1), 17–36. doi:10.3208/sandf1960.12.17.
   Google Scholar
• Osman, A.S., Mair, R.J., and Bolton, M.D., 2006. On the kinematics of 2D tunnel collapse in undrained clay. Geotechnique, 56 (9), 585–595. doi:10.1680/geot.2006.56.9.585.
   Web of Science ®Google Scholar
• Pan, Q. and Dias, D., 2016. Face stability analysis for a shield-driven tunnel in anisotropic and nonhomogeneous soils by the kinematical approach. International Journal of Geomechanics, 16 (3), 04015076. doi:10.1061/(ASCE)GM.1943-5622.0000569.
   Web of Science ®Google Scholar
• Sahoo, J.P. and Kumar, B., 2019a. Stability of circular tunnels in clay with an overlay of sand. International Journal of Geomechanics, 19 (3), 06018039. doi:10.1061/(ASCE)GM.1943-5622.0001360.
   Web of Science ®Google Scholar
• Sahoo, J.P. and Kumar, B., 2019b. Support pressure for stability of circular tunnels driven in granular soil under water table. Computers and Geotechnics, 109, 58–68. doi:10.1016/j.compgeo.2019.01.005
   Web of Science ®Google Scholar
• Sahoo, J.P. and Kumar, J., 2013. Stability of long unsupported twin circular tunnels in soils. Tunnelling and Underground Space Technology, 38, 326–335. doi:10.1016/j.tust.2013.07.005
   Web of Science ®Google Scholar
• Sahoo, J.P. and Kumar, J., 2014. Stability of a circular tunnel in presence of pseudostatic seismic body forces. Tunnelling and Underground Space Technology, 42, 264–276. doi:10.1016/j.tust.2014.03.003
   Web of Science ®Google Scholar
• Sahoo, J.P. and Kumar, J., 2018. Required lining pressure for the stability of twin circular tunnels in soils. International Journal of Geomechanics, 18 (7), 04018069. doi:10.1061/(ASCE)GM.1943-5622.0001196.
   Web of Science ®Google Scholar
• Sloan, S.W., 1988. Lower bound limit analysis using finite elements and linear programming. International Journal for Numerical and Analytical Methods in Geomechanics, 12 (1), 61–77. doi:10.1002/nag.1610120105.
   Web of Science ®Google Scholar
• Sloan, S.W. and Assadi, A., 1991. Undrained stability of a square tunnel in a soil whose strength increases linearly with depth. Computers and Geotechnics, 12 (4), 321–346. doi:10.1016/0266-352X(91)90028-E.
   Google Scholar
• Ukritchon, B. and Keawsawasvong, S., 2018. Lower bound limit analysis of an anisotropic undrained strength criterion using second‐order cone programming. International Journal for Numerical and Analytical Methods in Geomechanics, 42 (8), 1016–1033. doi:10.1002/nag.2781.
   Web of Science ®Google Scholar
• Ukritchon, B. and Keawsawasvong, S., 2019a. Three-dimensional lower bound finite element limit analysis of an anisotropic undrained strength criterion using second-order cone programming. Computers and Geotechnics, 106, 327–344. doi:10.1016/j.compgeo.2018.11.010
   Web of Science ®Google Scholar
• Ukritchon, B. and Keawsawasvong, S., 2019b. Stability of retained soils behind underground walls with an opening using lower bound limit analysis and second-order cone programming. Geotechnical and Geological Engineering, 37 (3), 1609–1625. doi:10.1007/s10706-018-0710-9.
   Web of Science ®Google Scholar
• Ukritchon, B. and Keawsawasvong, S., 2019c. Lower bound solutions for undrained face stability of plane strain tunnel headings in anisotropic and non-homogeneous clays. Computers and Geotechnics, 112, 204–217. doi:10.1016/j.compgeo.2019.04.018
   Web of Science ®Google Scholar
• Ukritchon, B. and Keawsawasvong, S., 2020a. Undrained lower bound solutions for end bearing capacity of shallow circular piles in non‐homogeneous and anisotropic clays. International Journal for Numerical and Analytical Methods in Geomechanics, 44 (5), 596–632. doi:10.1002/nag.3018.
   Web of Science ®Google Scholar
• Ukritchon, B. and Keawsawasvong, S., 2020b. Undrained stability of unlined square tunnels in clays with linearly increasing anisotropic shear strength. Geotechnical and Geological Engineering, 38 (1), 897–915. doi:10.1007/s10706-019-01023-8.
   Web of Science ®Google Scholar
• Wilson, D.W., et al., 2011. Undrained stability of a circular tunnel where the shear strength increases linearly with depth. Canadian Geotechnical Journal, 48 (9), 1328–1342. doi:10.1139/t11-041.
   Web of Science ®Google Scholar
• Wong, R.K.S. and Arthur, J.R.F., 1985. Induced and inherent anisotropy in sand. Geotechnique, 35 (4), 471–481. doi:10.1680/geot.1985.35.4.471.
   Web of Science ®Google Scholar
• Xiong, H., et al., 2016. Experimental study of drained anisotropy of granular soils involving rotation of principal stress direction. European Journal of Environmental and Civil Engineering, 20 (4), 431–454. doi:10.1080/19648189.2015.1039662.
   Web of Science ®Google Scholar
• Yamada, Y. and Ishihara, K., 1979. Anisotropic deformation characteristics of sand under three dimensional stress conditions. Soil and Foundations, 19 (2), 79–94. doi:10.3208/sandf1972.19.2_79.
   Google Scholar
• Yang, F., et al., 2015. Stability analysis of unlined elliptical tunnel using finite element upper-bound method with rigid translatory moving elements. Tunnelling and Underground Space Technology, 50, 13–22. doi:10.1016/j.tust.2015.06.005.
   Web of Science ®Google Scholar
• Yang, F. and Yang, J.S., 2010. Stability of shallow tunnel using rigid blocks and finite-element upper bound solutions. International Journal of Geomechanics, 10 (6), 242–247. doi:10.1061/(ASCE)GM.1943-5622.0000011.
   Web of Science ®Google Scholar
• Yang, L.T., et al., 2016. A laboratory study of anisotropic geomaterials incorporating recent micromechanical understanding. Acta Geotechnica, 11 (5), 1111–1129. doi:10.1007/s11440-015-0423-7.
   Web of Science ®Google Scholar
• Yodsomjai, W., et al., 2021b. Undrained stability of unsupported conical slopes in two-layered clays. Innovative Infrastructure Solutions, 6 (1), 1–17. doi:10.1007/s41062-020-00384-x.
   Web of Science ®Google Scholar
• Yodsomjai, W., Keawsawasvong, S., Senjuntichai, T., 2021a. Undrained stability of unsupported conical slopes in anisotropic clays based on anisotropic undrained shear failure criterion. Transportation Infrastructure Geotechnology, 8,557–568. doi:10.1007/s40515-021-00153-y.
   Google Scholar
• Zhang, D.M., et al., 2015. Influence of multi-layered soil formation on shield tunnel lining behaviour. Tunnelling and Underground Space Technology, 47, 123–135. doi:10.1016/j.tust.2014.12.011.
   Web of Science ®Google Scholar
• Zhang, J., et al., 2016. Upper-bound stability analysis of dual unlined elliptical tunnels in cohesive-frictional soils. Computers and Geotechnics, 80, 283–289. doi:10.1016/j.compgeo.2016.08.023.
   Web of Science ®Google Scholar
• Zhang, J., et al., 2018. Upper-bound stability analysis of dual unlined horseshoe-shaped tunnels subjected to gravity. Computers and Geotechnics, 97, 103–110. doi:10.1016/j.compgeo.2018.01.006.
   Web of Science ®Google Scholar