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Short-term creep of shotcrete - thermochemoplastic material modelling and nonlinear analysis of a laboratory test and of a NATM excavation by the Finite Element Method

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Continuous and Discontinuous Modelling of Cohesive-Frictional Materials

Part of the book series: Lecture Notes in Physics ((LNP,volume 568))

Abstract

Embedded in a thermochemoplastic material law set up in the framework of thermodynamics, the focus of the work is on the creep characteristics of shotcrete. Short-term creep, with a characteristic duration of several days, turns out to be a fundamental feature for realistic modelling of the structural behaviour of tunnels driven according to the New Austrian Tunnelling Method (NATM). Its origin is a stressinduced water movement within the capillary pores of concrete. This process is related to the accumulation of hydrates, which are initially free of micro-stress. Hence, an incremental formulation for aging viscoelasticity turns out to be a proper tool for modelling this kind of creep. The usefulness of this formulation is tested by re-analyzing a relaxation test with non-constant prescribed strains, showing quantitatively correct results for concrete and qualitatively correct results for shotcrete. The latter results indicate the necessity of classical creep tests for shotcrete.

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References

  1. Z. Bažant and S. Baweja. Short form of creep and shrinkage prediction model B3 for structures of medium sensitivity. Materials and Structures, (29):587–593, 1996.

    Google Scholar 

  2. Z. P. Bažant. Thermodynamics of solidifying or melting viscoelastic material. Journal of the Engineering Mechanics Division, ASCE, 105(6):933–952, 1979.

    Google Scholar 

  3. Z. P. Bažant, editor. Mathematical modelling of creep and shrinkage in concrete. Wiley, Chichester, England, 1988.

    Google Scholar 

  4. Z. P. Bažant, A. B. Hauggard, S. Baweja, and F.-J. Ulm. Microprestress solidification theory for concrete creep, part I: Aging and drying effects. Journal of Engineering Mechanics, ASCE, 123(11):1188–1194, 1997.

    Article  Google Scholar 

  5. G. Fischnaller. Untersuchungen zum Verformungsverhalten von jungem Spritzbeton im Tunnelbau-Grundlagen und Versuche [Investigation of the deformation behavior of young shotcrete in tunnelling-fundamentals and tests]. Master’s thesis, University of Innsbruck, 1992. In German.

    Google Scholar 

  6. Ch. Hellmich. Shotcrete as part of the New Austrian Tunneling Method: from thermochemomechanical material modeling to structural analysis and safety assessment of tunnels. PhD thesis, Vienna University of Technology, Vienna, Austria, 1999.

    Google Scholar 

  7. Ch. Hellmich, M. Lechner, R. Lackner, J. Macht, and H. A. Mang. Creep in shotcrete tunnel shells. In S. Murakami and N. Ohno, editors, Proceedings of the fifth IUTAM Symposium on Creep in Structures, Nagoya, Japan, 2000. In print.

    Google Scholar 

  8. Ch. Hellmich, H. A. Mang, E. Schön, and R. Friedle. Materialmodellierung von Spritzbeton-vom Experiment zum konstitutiven Gesetz [Material modeling of shotcrete-from the experiment to the constitutive law]. In Th. Varga, editor, Proceedings of the conference held at the 1998 general assembly of the Austrian society for material testing, Vienna, Austria, 1999. In print. In German.

    Google Scholar 

  9. Ch. Hellmich, H. A. Mang, and F.-J. Ulm. Hybrid method for quantification of stress states in shotcrete tunnel shells: combination of 3D in-situ displacement measurements and thermochemoplastic material law. In W. Wunderlich, editor, CD-ROM Proceedings of the European Conference of Computational Mechanics, Munich, Germany, 1999.

    Google Scholar 

  10. Ch. Hellmich, F.-J. Ulm, and H. A. Mang. Consistent linearization in finite element analysis of coupled chemo-thermal problems with exo-or endothermal reactions. Computational Mechanics, 24(4):238–244, 1999.

    Article  MATH  ADS  Google Scholar 

  11. Ch. Hellmich, F.-J. Ulm, and H. A. Mang. Multisurface chemoplasticity I: Material model for shotcrete. Journal of Engineering Mechanics (ASCE), 125(6):692–701, 1999.

    Article  Google Scholar 

  12. H. G. Huber. Untersuchungen zum Verformungsverhalten von jungem Spritzbeton im Tunnelbau [Investigations concerning the deformation behavior of young shotcrete in tunneling]. Master’s thesis, University of Innsbruck, Innsbruck, Austria, 1991. In German.

    Google Scholar 

  13. W. T. Koiter. General theorems for elastic-plastic solids, volume I, chapter IV, pages 167–218. North-Holland Publishing Company, Amsterdam, The Netherlands, 1960.

    Google Scholar 

  14. Ch. Kropik and H. A. Mang. Computational mechanics of the excavation of tunnels. Engineering Computations, 13(7):49–69, 1996.

    Article  MATH  Google Scholar 

  15. P. Laplante. Propriétés mécaniques des bétons durcissants: analyse comparée des bétons classiques et à très hautes performances [Mechanical properties of hardening concrete: a comparative analysis of ordinary and high performance concretes]. PhD thesis, Ecole Nationale des Ponts et Chaussées, Paris, France, 1993. In French.

    Google Scholar 

  16. M. Lechner. Kurzzeitkriechen von Spritzbeton-thermochemoplastische Materialmodellierung und nichtlineare Analysen eines Laborversuchs sowie eines NöT-Tunnelvortriebs mittels Finiten Elementen [Short-term creep of shotcrete-thermochemoplastic material modelling and nonlinear finite element analyses of a laboratory test and of a tunnel driven according to the NATM]. Master’s thesis, Vienna University of Technology, Vienna, Austria, 2000. In German.

    Google Scholar 

  17. R. Rokahr and K. H. Lux. Einflu\ des rheologischen Verhaltens des Spritzbetons auf den Ausbauwiderstand. Felsbau, 5:11–18, 1987.

    Google Scholar 

  18. W. Ruetz. Das Kriechen des Zementsteins im Beton und seine Beeinflussung durch gleichzeitiges Schwinden [Creep of cement in concrete and the influence on it by simultaneous shrinkage]. Deutscher Ausschuss Stahlbeton, Heft 183, 1966. In German.

    Google Scholar 

  19. P. Schubert. Beitrag zum rheologischen Verhalten von Spritzbeton [Contribution to the rheological behavior of shotcrete]. Felsbau, 6:150–153, 1988.

    Google Scholar 

  20. J. Sercombe, Ch. Hellmich, F.-J. Ulm, and H. A. Mang. Modelling of earlyage creep of shotcrete. I: Model and model parameters.Journal of Engineering Mechanics (ASCE), 25(3):284–291, 2000.

    Article  Google Scholar 

  21. F.-J. Ulm. Couplages thermochémomécaniques dans les bétons: un premier bilan. [Thermochemomechanical couplings in concretes: a first review]. Technical report, Laboratoires des Ponts et Chaussées, Paris, France, 1998. In French.

    Google Scholar 

  22. F.-J. Ulm and O. Coussy. Modeling of thermochemomechanical couplings of concrete at early ages. Journal of Engineering Mechanics (ASCE), 121(7):785–794, 1995.

    Article  Google Scholar 

  23. F.-J. Ulm and O. Coussy. Strength growth as chemo-plastic hardening in early age concrete. Journal of Engineering Mechanics (ASCE), 122(12):1123–1132, 1996.

    Article  Google Scholar 

  24. F. H. Wittmann. Creep and shrinkage mechanisms, chapter 6, pages 129–161. Wiley, Chichester, England, 1982.

    Google Scholar 

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Lechner, M., Hellmich, C., Mang, H.A. (2001). Short-term creep of shotcrete - thermochemoplastic material modelling and nonlinear analysis of a laboratory test and of a NATM excavation by the Finite Element Method. In: Vermeer, P.A., Herrmann, H.J., Luding, S., Ehlers, W., Diebels, S., Ramm, E. (eds) Continuous and Discontinuous Modelling of Cohesive-Frictional Materials. Lecture Notes in Physics, vol 568. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44424-6_4

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  • DOI: https://doi.org/10.1007/3-540-44424-6_4

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