Stability of Shallow Tunnel Using Rigid Blocks and Finite-Element Upper Bound Solutions
Publication: International Journal of Geomechanics
Volume 10, Issue 6
Abstract
Two methods of upper bound solutions were used to calculate the needed support pressure for shallow tunnel stability in cohesive-frictional ground. One uses a proposed rigid blocks failure mechanism for shallow rectangular tunnel of upper bound solution, and another uses a finite-element upper bound solution with linear program. In the rigid blocks failure mechanism, the velocity discontinuities in the side wall of the shallow rectangular tunnel occurred in both radial and tangent directions, so as to increase its flexibility. The main formulas for calculating support pressure were deduced for the above two methods; thereafter, the corresponding calculating programs were compiled. The needed support pressure for shallow tunnel stability and its parametric influences were obtained. The results show that both methods can be used effectively to analyze the stability problems of shallow rectangular tunnel using upper bound solutions.
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Acknowledgments
This paper was supported by the Program for New Century Excellent Talents in University (Grant No. UNSPECIFIEDNCET-08–0569) and Changxiang Highway Science and Technology Demonstration Project of China.
References
Atkinson, J. H., and Potts, D. M. (1977). “Stability of a shallow circular tunnel in cohesionless soil.” Geotechnique, 27(2), 203–215.
Augarde, C. E., Lyamin, A. V., and Sloan, S. W. (2003). “Stability of an undrained plane strain heading revisited.” Comput. Geotech., 30, 419–430.
Bottero, A., Negre, R., Pastor, J., and Turgeman, S. (1980). “Finite element method and limit analysis theory for soil mechanics problem.” Comput. Methods Appl. Mech. Eng., 22(1), 131–149.
Chen, W. F. (1975). Limit analysis and soil plasticity, Elsevier, Amsterdam, The Netherlands.
Davis, E. H., Gunn, M. J., Mair, R. J., and Seneviratine, H. N. (1980). “The stability of shallow tunnel and underground openings in cohesive material.” Geotechnique, 30(4), 397–416.
Klar, A., Osman, A. S., and Bolton, M. (2007). “2D and 3D upper bound solutions for tunnel excavation using elastic flow fields.” Int. J. Numer. Analyt. Meth. Geomech., 31, 1367–1374.
Leca, E., and Dormieux, L. (1990). “Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material.” Geotechnique, 40(4), 581–606.
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.
Sloan, S. W., and Assadi, A. (1991). “Undrained stability of a square tunnel in a soil whose strength increases linearly with depth.” Comput. Geotech., 12, 321–346.
Sloan, S. W., and Kleeman, P. W. (1995). “Upper bound limit analysis using discontinuous velocity fields.” Comput. Methods Appl. Mech. Eng., 127, 293–314.
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© 2010 ASCE.
History
Received: May 4, 2009
Accepted: Apr 28, 2010
Published online: Apr 30, 2010
Published in print: Dec 2010
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