Summary
For tunnelling in rock, the original stress field in the ground is changed considerably before a first lining is participating in stabilizing the opening. Depending on this stress release at the tunnel face, only a small portion of the primary stresses is acting on the lining. Only a three-dimensional approach is able to determine the stresses and the deformations of the ground and the lining realistically. The paper presents some results of elastic three-dimensional finite-element-analyses in consecutive steps of the sectional excavation of circular and non-circular tunnels. From these results an equivalent two-dimensional approach is derived for technical applications, given in diagrams.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Ahrens, H., Lindner, E., Lux, K.-H. (1982): Zur Dimensionierung von Tunnelausbauten nach den Empfehlungen zur Berechnung von Tunneln in Lockergestein. Bautechnik 8, 260–273 and 9, 303–311.
Baudendistel, M. (1979): Zum Entwurf von Tunneln mit großen Ausbruchsquerschnitt. Rock Mechanics, Suppl. 8, 75–100.
Baumann, T. (1988): Numerical analysis and reality in tunnelling-verification by measurements? In: Proc., Num. Methods in Geomechanics, Innsbruck, Balkema, Rotterdam, 1457–1464.
Baumann, T., Sulke, B.-M., Trysna, T. (1985): Einsatz von Messung und Rechnung bei Spritzbetonbauweisen im Lockergestein. Bautechnik 10, 330–337 and 11, 368–374.
Berwanger, W.: Dreidimensionale Berechnung von tiefliegenden Felstunneln unter Berücksichtigung des rheologischen Verhaltens von Spritzbeton und des Bauverhaltens. Forschungsergebnisse aus dem Tunnel- und Kavernenbau, H. 10, Universität Hannover.
Duddeck, H., Erdmann, J. (1985): On structural design models for tunnels in soft soil. Underground Space 9, 245–259.
Erdmann, J. (1983): Comparison of plane and development of 3-dimensional analyses for tunnelling (in German). Report Nr. 83-40. Institut für Statik, Technische Universität Braunschweig.
Habert, E., Haugeneder, E. (1984): Nichtlineare Finite-Elemente-Berechnung von Tunnelbauwerken. In: Finite Elemente—Anwendungen in der Baupraxis. W. Ernst u. Sohn, München.
ITA-Working Group on Tunnelling Design (1988): Guidelines for the design of tunnels. Tunnelling and Underground Space Techn. 3 (3), 237–249.
Kielbassa, St. (1989): Stress-strain fields at the tunnelling face and in the tunnel lining (in German). Report Nr. 89-58, Institut für Statik, Technische Universität Braunschweig.
Schikora, K., Ostermeier, B. (1982): Berechnungsmethoden moderner bergmännischer Bauweisen beim U-Bahn-Bau. Bauingenieur 57, 193–198.
Schwartz, C. W., Einstein, H. H. (1978): Improvement of ground support performance by full consideration of ground displacements. In: Proc., Tunnelling and Underground Structures Symposium, TRB Meeting Chicago.
Semprich, S. (1980): Berechnungen der Spannungen und Verformungen im Bereich der Ortsbrust von Tunnelbauwerken im Fels. In: Veröff. Institut für Grundbau, Bodenmechanik und Verkehrswasserbau der RWTH Aachen, H. 8.
Swoboda, G. A., Mertz, W. G. (1987): Rheological analysis of tunnel excavations by means of coupled finite element—boundary element analysis. Int. J. Numer. Analyt. Methods in Geomechanics 11, 115–129.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kielbassa, S., Duddeck, H. Stress-strain fields at the tunnelling face—Three-dimensional analysis for two-dimensional technical approach. Rock Mech Rock Engng 24, 115–132 (1991). https://doi.org/10.1007/BF01042857
Issue Date:
DOI: https://doi.org/10.1007/BF01042857