Abstract
Some applications are presented of the elasto-plastic and visco-plastic stress analysis to tunnelling problems. First, the closed form solution is recalled of the so-called “characteristic line” of a circular opening, which is frequently adopted for a simplified evaluation of the load acting on the lining of deep tunnels. Subsequently, some examples are discussed, based on the finite element method, which illustrate a number of effects influencing the behaviour of underground openings. They concern, for instance, the mutual influence of parallel tunnels, the “squeezing” and the “strain softening” behaviour of the rock mass, the pore pressure changes induced by underground excavations in saturated media. The discussion is confined to static problems and to continuous rock/soil masses.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bazant, Z., Belytschko, T., and Chang, T.P. (1984). Continuum theory for strain-softening. J. of Eng. Mech. ASCE 110: 1666–1692.
Cividini, A., and Gioda, G. (1992). Finite element analysis of direct shear tests on stiff clays. Int. J. Nu-mer. Anal. Methods Geomech. 16: 869–886.
Cividini, A., Gioda, G., and Barla, G. (1985). A numerical analysis of tunnels driven in saturated two-phase media. Proc. 11th Int. Conf. Soil Mech. Found. Eng., San Francisco, CA, 729–732.
Ghaboussi, J., and Gioda, G. (1977). On the time dependent effects in advancing tunnels. Int. J. Numer. Anal. Methods Geomech. 1: 249–269.
Ghaboussi, J., and Wilson, E.L. (1973). Flow of compressible fluids in porous elastic media. Int. J. Nu-mer. Meth. Eng. 1: 75–100.
Gioda, G. (1981). A finite element solution of non-linear creep problems in rocks. Int. J. Rock Mech. Min. Sci. & Geomech. Abst. 18: 35–46.
Gioda, G. (1982). On the non linear squeezing effects around circular tunnels. Int. J. Numer. Anal. Methods Geomech. 6: 21–46.
Gioda, G., and Swoboda, G. (1999). Developments and applications of the numerical analysis of tunnels in continuous media. Int. J. Numer. Anal. Methods Geomech. 23: 1393–1405.
Hansmire, W.H., and Cording, E.J. (1985). Soil tunnel test section: case history summary. J. of Geotech. Eng., ASCE 111 (11): 1301–1320.
Hill, R. (1958). A general theory of uniqueness and stability in elastic-plastic solids. J. Mech. Phys. Solids 6: 236–249.
Pietruszczak, S., and Mroz, Z. (1981). Finite element analysis of deformation of strain-softening materials. Int. J. Num. Meth. in Eng. 17:327–334.
Poulos, H.G., and Davis, E.H. (1974). Elastic solutions for soil and rock mechanics. J.Wiley & Sons, New York.
Read, H.E., and Hegemier, G.A. (1984). Strain softening of rock, soil and concrete–A review article. Mech. of Materials 3: 271–294.
Rice, J.R. (1976). The localization of plastic deformation. In Koiter, W.T., ed., Proc. 14th Int. Conf on Theoretical and Applied Mechanics, North Holland, Amsterdam.
Sakurai, S. (1978). Approximated time-dependent analysis of tunnel support structure considering progress of the tunnel face. Int. J. Numer. Anal. Methods Geomech. 2: 159–175.
Sandhu, R.S. (1968). Fluid flow in saturated porous elastic media. PhD Dissertation, University of California at Berkeley.
Sterpi, D. (1999). An analysis of geotechnical problems involving strain softening effects. Int. J Numer. Anal. Methods Geomech. 23: 1427–1454.
Sterpi, D. (2000). Influence of the kinematic testing conditions on the mechanical response of a sand. Computers and Geotechnics 26 (1): 23–41.
Sterpi, D., Cividini, A., Sakurai, S., and Nishitake, S. (1996). Laboratory model tests and numerical analysis of shallow tunnels. In Barla, G., ed., Proc. Int. Symp. Prediction and Performance in Rock Mech. and Rock Eng., Eurock’96, Balkema, 689–696.
Sterpi, D., and Moro, G. (1995). Finite element analyses of a shallow tunnelling process. Gallerie e Grandi Opere Sotterranee 46: 58–67.
Sterpi, D., and Sakurai, S. (1997). Numerical analysis of laboratory tests on a model tunnel. In Asaoka at al., eds., Proc. Int. Symp. Deformation and Progressive Failure in Geomechanics, Elsevier Science, 757–762.
Vardoulakis, I., and Sulem, J. (1995). Bifurcation analysis in geomechanics. Chapman & Hall, Glasgow.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Wien
About this chapter
Cite this chapter
Cividini, A., Gioda, G., Sterpi, D. (2001). Application of Elasto-Plastic Analysis to Tunnelling. In: Griffiths, V.D., Gioda, G. (eds) Advanced Numerical Applications and Plasticity in Geomechanics. International Centre for Mechanical Sciences, vol 426. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2578-6_3
Download citation
DOI: https://doi.org/10.1007/978-3-7091-2578-6_3
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-83337-7
Online ISBN: 978-3-7091-2578-6
eBook Packages: Springer Book Archive