Phân tích giới hạn sự sập mái trong các đường hầm dưới ảnh hưởng của lực thấm với cơ chế sập ba chiều

KIM J, SALGADO R, YU H S. Limit analysis of slopes subjected to pore-water pressures [J]. Journal of Geotechnical and Geoenvironmental Engineering, 1999, 125(1): 49–58. MICHALOWSKI R L. Stability charts for uniform slopes [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2002, 128(4): 351–355. SOUBRA A H. Static and seismic passive earth pressure coefficients on rigid retaining structure [J]. Canadian Geotechnical Journal, 2000, 37(2): 463–478. AGAR J G, MORGENSTERN N R, SCOTT J. Shear strength and stress-strain behavior of Athabasca oil sand at elevated temperatures and pressure [J]. Canadian Geotechnical Journal, 1985, 24(1): 1–10. BAKER R. Nonlinear Mohr envelopes based on triaxial data [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2004, 130(5): 498–506. YANG X L, LI L, YIN J H. Seismic and static stability analysis for rock slopes by a kinematical approach [J]. Geotechnique, 2004, 54(8): 543–549. YANG X L, YIN J H. Slope stability analysis with nonlinear failure criterion [J]. Journal of Engineering Mechanics, 2004, 130(3): 267–273. YANG X L, YIN J H. Upper bound solution for ultimate bearing capacity with a modified Hoek-Brown failure criterion [J]. International Journal of Rock Mechanics and Mining Sciences, 2005, 42(4): 550–560. YANG X L, YIN J H. Estimation of seismic passive earth pressures with nonlinear failure criterion [J]. Engineering Structures, 2006, 28(3): 342–348. LAM L, FREDLUND D G. A general limit equilibrium model for three-dimensional slope stability analysis [J]. Canadian Geotechnical Journal, 1993, 30(6): 905–919. CHEN Z Y, WANG X G, HABERFIEDL C. A three-dimensional slope stability analysis method using the upper bound theorem [J]. International Journal of Rock Mechanics and Mining Sciences, 2001, 38(1): 69–378. DONALD I B, CHEN Z Y. Slope stability analysis by the upper bound approach: Fundamentals and methods [J]. Canadian Geotechnical Journal, 1997, 34(6): 853–862. ANAGNOSTOU G, KOVÁRI K. Face stability conditions with earth-presssure-balanced shields [J]. Tunnelling and Underground Space Technology, 1996, 11(2): 165–173. LECA E, DORMIEUX L. Upper and lower solutions for the space stability of shallow circular tunnels in frictional material [J]. Geotechnique, 1990, 40(4): 581–606. SOUBRA A H, DIAS D, EMERIAULT F. Three-dimensional face stability analysis of circular tunnels by a kinematical approach [C]// Proceedings of the Geocongress Characterization Monitoring and Modelling of Geosystems, New Orleans, 2008: 9–12. CHAMBON P, CORTÉ J F. Shallow tunnels in cohesionless soil: Stability of tunnel face [J]. Journal of Geotechnical Engineering, 1994, 120(7): 1148–1165. YANG X L, ZHANG J H, JIN Q Y, MA J Q. Analytical solution to rock pressure acting on three shallow tunnels subjected to unsymmetrical loads [J]. Journal of Central South University, 2013, 20(2): 528–535. YANG X L, JIN Q Y, MA J Q. Pressure from surrounding rock of three shallow tunnels with large section and small spacing [J]. Journal of Central South University, 2012, 19(8): 2380–2385. YANG X L, HUANG F. Three-dimensional failure mechanism of a rectangular cavity in a Hoek-Brown rock medium [J]. International Journal of Rock Mechanics and Mining Sciences, 2013, 61: 189–195. YANG X L, HUANG F. Collapse mechanism of shallow tunnel based on nonlinear Hoek-Brown failure criterion [J]. Tunnelling and Underground Space Technology, 2011, 26(6): 686–691. MOLLON G, DIAS D, SOUBRA A H. Rotational failure mechanisms for the face stability analysis of tunnels driven by a pressurized shield [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2011, 25(12): 1363–1388. FRALDI M, GUARRACINO F. Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek-Brown failure criterion [J]. International Journal of Rock Mechanics and Mining Sciences, 2009, 46(4): 665–673. FRALDI M, GUARRACINO F. Analytical solutions for collapse mechanisms in tunnels with arbitrary cross sections [J]. International Journal of Solids and Structures, 2010, 47(2): 216–223. YANG X L, ZOU J F. Cavity expansion analysis with non-linear failure criterion [J]. Proceedings of the Institution of Civil Engineers-Geotechnical Engineering, 2011, 164(1): 41–49. YANG X L. Seismic passive pressures of earth structures by nonlinear optimization [J]. Archive of Applied Mechanics, 2011, 81(9): 1195–1202. YANG X L, WANG J M. Ground movement prediction for tunnels using simplified procedure [J]. Tunnelling and Underground Space Technology, 2011, 26(3): 462–471. LEE I M, NAM S W. The study of seepage forces acting on the tunnel lining and tunnel face in shallow tunnels [J]. Tunnelling and Underground Space Technology, 2001, 16(1): 31–40. HOEK E, BROWN E T. Practical estimate the rock mass strength [J]. International Journal of Rock Mechanics and Mining Sciences, 1997, 34(8): 1165–1186. YANG X L. Seismic bearing capacity of a strip footing on rock slopes [J]. Canadian Geotechnical Journal, 2009, 46(8): 943–954. YANG X L, YIN J H. Slope equivalent Mohr-Coulomb strength parameters for rock masses satisfying the Hoek-Brown criterion [J]. Rock Mechanics and Rock Engineering, 2010, 43(4): 505–511. SAADA Z, MAGHOUS S, GARNIER D. Stability analysis of rock slopes subjected to seepage forces using the modified Hoek-Brown criterion [J]. International Journal of Rock Mechanics and Mining Sciences, 2012, 55(1): 45–54. CHEN W F. Limit analysis and soil plasticity [M]. Amsterdam: Elsevier, 1975: 85–96.