Stability of unsupported circular tunnels in anisotropic normally and over consolidated saturated clay

Atkinson, 1977, Stability of a shallow circular tunnel in cohesionless soil, Geotechnique, 27, 203, 10.1680/geot.1977.27.2.203 Bishop, 1966, The strength of soils as engineering materials, Geotechnique, 16, 91, 10.1680/geot.1966.16.2.91 Casagrande, 1944, Shear failure of anisotropic soils, Contrib. Soil Mech. (BSCE), 4, 1941122 Chambon, 1994, Shallow tunnels in cohesionless soil: stability of tunnel face, J. Geotech. Eng., 120, 1148, 10.1061/(ASCE)0733-9410(1994)120:7(1148) Davis, 1971, Bearing capacity of anisotropic cohesive soil, J. Soil Mech. and Found. Div., 97, 753, 10.1061/JSFEAQ.0001594 Davis, 1980, The stability of shallow tunnels and underground openings in cohesive material, Geotechnique, 30, 397, 10.1680/geot.1980.30.4.397 Drucker, 1953, Coulomb Friction, Plasticity and Limit Loads, Transactions American Society of Mechanical Engineers, 76, 71 Du, 2018, Analysis of earth pressure for shallow square tunnels in anisotropic and non-homogeneous soils, Comput. Geotech., 104, 226, 10.1016/j.compgeo.2018.08.022 Duncan, 1966, Anisotropy and stress reorientation in clay, J. Soil Mech. Found. Div., 92 Duncan, 1966, Anisotropy and stress reorientation in clay, J. Soil Mech. Found. Div., 92, 21, 10.1061/JSFEAQ.0000909 Hagiwara, 1999, The Effect of Overlying Strata on the Distribution of Ground Movements Induced by Tunnelling in Clay, Soil Found., 39, 63, 10.3208/sandf.39.3_63 Hansen, 1949, Undrained shear strengths of anisotropically consolidated clays, Geotechnique, 1, 189, 10.1680/geot.1949.1.3.189 Huang, 2018, Upper bound solutions for face stability of circular tunnels in non-homogeneous and anisotropic clays, Comput. Geotech., 98, 189, 10.1016/j.compgeo.2018.02.015 Hvorslev, M.J., 1960. Physical components of shear strength of saturated clays. Proc. Am. Soc. Civ. Engrs. Conf. on shear strength of cohesive soil, Univ. Colorado, Boulder 169-273. Jakobson, 1955, Isotropy of clays, Geotechnique, 5, 23, 10.1680/geot.1955.5.1.23 Kumar, 2020, Support pressure for circular tunnels in two layered undrained clay, J. Rock Mech. Geotech. Eng., 12, 135, 10.1016/j.jrmge.2019.04.007 Leca, 1990, Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material, Geotechnique, 40, 581, 10.1680/geot.1990.40.4.581 Ladd, 1991, Stability evaluations during stage construction, J. Geotech. Eng., 117, 540, 10.1061/(ASCE)0733-9410(1991)117:4(540) Lee, 1989, Effects of undrained strength anisotropy on surface subsidences induced by the construction of shallow tunnels, Can. Geotech. J., 26, 279, 10.1139/t89-037 Liang, 2017, Upper Bound Stability Analysis of Shield Tunnel Face in Nonhomogeneous and Anisotropic Soils, Indian Geotech. J., 47, 338, 10.1007/s40098-017-0224-z Lo, 1965, Stability of slopes in anisotropic soils, J. Soil Mech. Found. Div., 91, 85, 10.1061/JSFEAQ.0000778 Lo, K.Y., Milligan, V., 1967. Shear strength properties of two stratified clays. J. Soil Mech. Found. Div. 93 (SM1), 1-15. Makrodimopoulos, 2006, Lower bound limit analysis of cohesive-frictional materials using second-order cone programming, Int. J. Numer. Methods Eng., 66, 604, 10.1002/nme.1567 MATLAB [Computer software]. MathWorks, Natick, MA; 2015b. MOSEK, A. 2015. The MOSEK optimization toolbox for MATLAB manual. Version 7.1 (Revision 28). Copenhagen, Denmark. Nunes, 2009, A study on the effects of overlying soil strata on the stresses developing in a tunnel lining, Tunn. Undergr. Space Technol., 24, 716, 10.1016/j.tust.2009.04.002 Osman, 2010, Stability of unlined twin tunnels in undrained clay, Tunn. Undergr. Space Technol., 25, 290, 10.1016/j.tust.2010.01.004 Osman, 2006, On the kinematics of 2D tunnel collapse in undrained clay, Géotechnique, 56, 585, 10.1680/geot.2006.56.9.585 Pan, 2015, Face stability analysis for a shield-driven tunnel in anisotropic and nonhomogeneous soils by the kinematical approach, Int. J. Geomech., 16, 04015076, 10.1061/(ASCE)GM.1943-5622.0000569 Saada, 1972, Discussion on bearing capacity of anisotropic cohesive soil, J. Soil Mech. Found. Div., 98, 132 Sahoo, 2019, Stability of circular tunnels in clay with an overlay of sand, Int. J. Geomech., 19, 06018039, 10.1061/(ASCE)GM.1943-5622.0001360 Sahoo, 2012, Seismic stability of a long unsupported circular tunnel, Comput. Geotech., 44, 109, 10.1016/j.compgeo.2012.03.015 Sahoo, 2013, Stability of long unsupported twin circular tunnels in soils, Tunn. Undergr. Space Technol., 38, 326, 10.1016/j.tust.2013.07.005 Sahoo, 2013, Stability of a long unsupported circular tunnel in clayey soil by using upper bound finite element limit analysis, Proceedings, Indian National Science, Academy, 79, 807, 10.16943/ptinsa/2013/v79i4/48005 Sloan, 1988, Lower bound limit analysis using finite elements and linear programming, Int. J. Numer. Anal. Methods Geomech., 12, 61, 10.1002/nag.1610120105 Sloan, 1991, Undrained stability of a square tunnel in a soil whose strength increases linearly with depth, Comput. Geotech., 12, 321, 10.1016/0266-352X(91)90028-E Sloan, 1992, 644 Ukritchon, 2018, Lower bound limit analysis of an anisotropic undrained strength criterion using second-order cone programming, Int. J. Numer. Anal. Methods Geomech., 42, 1016, 10.1002/nag.2781 Ukritchon, 2020, Undrained Stability of Unlined Square Tunnels in Clays with Linearly Increasing Anisotropic Shear Strength, Geotech. Geol. Eng., 38, 897, 10.1007/s10706-019-01023-8 Wilson, 2011, Undrained stability of a circular tunnel where the shear strength increases linearly with depth, Can. Geotech. J., 48, 1328, 10.1139/t11-041 Yamamoto, 2011, Stability of a circular tunnel in cohesive-frictional soil subjected to surcharge loading, Comput. Geotech., 38, 504, 10.1016/j.compgeo.2011.02.014