Multisurface Chemoplasticity. II: Numerical Studies on NATM Tunneling
Publication: Journal of Engineering Mechanics
Volume 125, Issue 6
Abstract
This paper deals with application of the multisurface chemoplastic model for shotcrete, as described in a companion paper, to isothermal 2D structural analyses of tunnels driven according to the principles of the New Austrian Tunneling Method (NATM) in drained, overconsolidated, creep-active soil. The latter is modeled by means of a viscoplastic material law. The influence of each ingredient of the chemoplastic model on the structural behavior of the tunnel is studied. In this manner, it is determined under which circumstances the full chemoplastic model is advisable for the description of the structural behavior of the tunnel and where more simple models are sufficient. Moreover, the nature of the soil-shotcrete interaction problem governing the NATM is elucidated by means of a dimensionless parameter, which is derived directly from the constitutive evolution equations for both soil and shotcrete.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Baant, Z., Hauggard, A., Baweja, S., and Ulm, F.-J. (1997). “Microprestress solidification theory for concrete creep. I: Aging and drying effects.”J. Engrg. Mech., ASCE, 123(11), 1188–1194.
2.
Detournay E., and Fairhurst, C. ( 1987). “Two-dimensional elastoplastic analysis of a long, cylindrical cavity under non-hydrostatic loading.” Int. J. for Rock Mech. Mining Sci. and Geomech. Abstracts, 24, 197–211.
3.
Duvaut, G., and Lions, J. ( 1972). Les inequations en mechanique et en physique [the inequations in mechanics and physics]. Dunod, Paris (in French).
4.
Eckhart, M. ( 1993). “Verformungsanalyse eines tiefliegenden Tunnels mit söhliger Schwächezone [analysis of the deformations of a deep tunnel with a horizontal fault line],” MS thesis, Graz University of Technology, Graz, Austria (in German).
5.
Florence, A., and Schwer, L. ( 1978). “Axisymmetric compression of a Mohr-Coulomb medium around a circular hole.” Int. J. Numer. and Analytical Methods in Geomech., 2, 367–379.
6.
Fritz, P. ( 1984). “An analytical solution for axisymmetric tunnel problems in elastoviscoplastic media.” Int. J. Numer. and Analytical Methods in Geomech., 8, 325–342.
7.
Hashash, Y., and Cook, R. F. ( 1994). “Effective stress analysis of super colider tunnels.” Computer methods and advances in geomechanics. Balkema, Rotterdam, The Netherlands, 2577–2582.
8.
Hellmich, C. ( 1995). “2D Parameterstudien zur Neuen Österreichischen Tunnelbauweise mit Hilfe der Methode der Finiten Elemente [2D parameter studies concerning the New Austrian Tunnelling Method by means of the finite element method],” MS thesis, Vienna University of Technology, Vienna (in German).
9.
Hellmich, C., and Mang, H. A. ( 1999). “Influence of the dilatation of soil and shotcrete on the structural behavior of NATM-tunnels.” Felsbau: Rock and Soil Engrg., 17, in press.
10.
Hellmich, C., Ulm, F.-J., and Mang, H. A. ( 1999). “Consistent linearization in finite element analysis of coupled chemo-thermal problems with exo- or endothermal reactions.” Computational Mech., in press.
11.
Hirschböck, U. ( 1997). “2D Finite-Elemente Untersuchungen zur Neuen Österreichischen Tunnelbaumethode [2D finite element investigations concerning the New Austrian Tunnelling Method],” MS thesis, Vienna University of Technology, Vienna, (in German).
12.
Huang, Z. ( 1991). “Beanspruchungen des Tunnelausbaus bei zeitabhängigem Materialverhalten von Beton und Gebirge [Loading of the tunnel lining for time-dependent material behavior of concrete and rock],” PhD thesis, Braunschweig University of Technology, Braunschweig, Germany.
13.
Kropik, C. ( 1994). “Three-dimensional elasto-viscoplastic finite element analysis of deformations and stresses resulting from the excavation of shallow tunnels,” PhD thesis, Vienna University of Technology, Vienna.
14.
Kropik, C., and Mang, H. ( 1996). “Computational mechanics of the excavation of tunnels.” Engrg. Computations, Swansea, Wales, 13(7), 49–69.
15.
Madejski, J. ( 1960). “Theory of non-stationary plasticity explained on the example of thick-walled spherical reservoir loaded with internal pressure.” Archivum Mechaniki Stosowanej, Warsaw, 5/6(12), 775–787.
16.
Müller, L. ( 1978). Der Felsbau-Tunnelbau [Constructions in rock-tunnelling], Vol. 3, Springer, Stuttgart, Germany (in German).
17.
Obara, Y., Nakayama, T., Sugawara, K., Aoki, T., and Yang, H. ( 1992). “Determination of plastic regions around underground openings by a coupled Boundary-Element Characteristics Method.” Int. J. Numer. and Analytical Methods in Geomech., 16, 701–716.
18.
Poisel, R., and Öhreneder, H. ( 1991). “Risse in Betoninnenringen von Tunneln und deren Beurteilung im Hinblick auf die Standsicherheit [cracks in inner linings of tunnels and their assessment with regards to stability].” Felsbau, 9(3), 117–125 (in German).
19.
Rabcewicz, L. ( 1944). Gebirgsdruck und Tunnelbau [ground pressure and tunnelling]. Springer, Vienna (in German).
20.
Sakurai, S., and Abe, S. ( 1979). “A design approach to dimensioning underground openings.” Numer. Methods in Geomech., Balkema, Rotterdam, The Netherlands, 649–661.
21.
Schröpfer, T. ( 1995). “Numerische Analyse des Tragverhaltens von Gesteinsstrecken mit Spritzbeton—Ausbau im Ruhrkarbon [numerical analysis of the load-bearing behavior of tunnels with shotcrete linings in the Ruhr-carbon formations],” PhD thesis, Technical University of Clausthal, Clausthal, Germany (in German).
22.
Schweiger, H., Schuller, H., and Pöttler, R. ( 1997). “Some remarks on 2-D models for numerical simulation of underground constructions with complex cross sections.” Computer methods and advances in geomechanics, J. X. Yuan, ed., Balkema, Rotterdam, The Netherlands, 1303–1308.
23.
Sercombe, J., Hellmich, C., Ulm, F.-J., and Mang, H. A. ( 1999). “Modeling of early-age creep of shotcrete in the context of chemoplasticity: application to 2D structural analysis of tunnels.” Int. J. Solids and Struct., in press.
24.
Simo, J., and Hughes, T. ( 1998). Computational inelasticity. Springer, Berlin.
25.
Strohhäusl, S., Wagner, H., and Mader, I. ( 1994). “Numerical simulation of NATM tunnelling under compressed air.” Computer methods and advances in geomechanics, Balkema, Rotterdam, The Netherlands, 2627–2634.
26.
Swoboda, G., Mertz, W., and Beer, G. ( 1987). “Rheological analysis of tunnel excavations by means of coupled finite element (FEM)–boundary element (BEM) analysis.” Int. J. Numer. and Analytical Methods in Geomech., 11, 115–129.
27.
Swoboda, G., Moussa, A., and Hafez, N. ( 1994). “Two and three dimensional modelling of layered shotcrete lining.” Int. Conf. on Computational Methods in Struct. and Geotech. Engrg., China Translation & Printing Services Ltd., Hong Kong, 1077–1084.
28.
Ulm, F.-J., and Coussy, O. (1995). “Modeling of thermochemomechanical couplings of concrete at early stages.”J. Engrg. Mech., ASCE, 121(7), 785–794.
29.
Varadarajan, A., Sharma, K., and Singh, R. ( 1987). “Elasto-plastic analysis of an underground opening by FEM and coupled FEBEM.” Int. J. Numer. and Analytical Methods in Geomech., 11, 475–487.
30.
Wood, D. ( 1990). Soil behaviour and critical state soil mechanis. Cambridge University Press, Cambridge, U.K.
31.
Yin, J. ( 1996). “Untersuchungen zum zeitabhängigen Tragverhalten von tiefliegenden Hohlräumen im Fels mit Spritzbetonausbau [investigations concerning the time-dependent load-carrying behavior of deep openings in rock masses with shotcrete linings],” PhD thesis, Clausthal University of Technology, Clausthal, Germany (in German).
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 125 • Issue 6 • June 1999
Pages: 702 - 713
History
Received: May 18, 1998
Published online: Jun 1, 1999
Published in print: Jun 1999
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.