Multiscale model for creep of shotcrete - from logarithmic-type viscous behavior of CSH at the μm-scale to macroscopic tunnel analysis

Journal of Advanced Concrete Technology

Volumn 6, Issue 1, 2008, Pages 91-110

  Pichler, Christian ^a   Lackner, Roman ^b   Mang, Herbert A ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CEMENT BASED MATERIAL; CLINKER PHASIS; CONCRETE CREEP; CONCRETE SAMPLES; CREEP COMPLIANCE; CREEP MODEL; CREEP TESTS; M-SCALE; MACROSCOPIC ANALYSIS; MACROSCOPIC BEHAVIORS; MATERIAL PROPERTY; MICRO MECHANICS MODEL; MIX DESIGNS; MODEL LINKS; MODEL PREDICTION; MULTISCALE MODELS; MULTISCALES; ON-SITE CONDITIONS; ORDINARY PORTLAND CEMENT; SCALE COMPOSITION; SHOTCRETE TUNNEL LININGS; SHOTCRETES; SHRINKAGE DEFORMATION; UPSCALING; VISCOELASTIC PROPERTIES; VISCOUS PROPERTIES;

CALCIUM; CALCIUM SILICATE; CREEP; FRACTURE MECHANICS; HYDRATES; HYDRATION; PORTLAND CEMENT; SHOTCRETING; SILICATES; SURFACE MORPHOLOGY; WIND TUNNELS;

TUNNEL LININGS;

EID: 67349247964     PISSN: 13468014     EISSN: None     Source Type: Journal    
DOI: 10.3151/jact.6.91     Document Type: Article

References (45)

1. Acker, P. and Ulm, F. -J. (2001). "Creep and shrinkage of concrete: physical origins and practical measurements." Nuclear Engineering and Design, 203, 148-158.
2. Athrushi, S. A. (2003). "Tensile and compressive creep of early age concrete: testing and modelling." Ph.D. thesis, The Norwegian University of Science and Technology, Trondheim, Norway.
3. Bažant, Z. P. (1979). "Thermodynamics of solidifying or melting viscoelastic material." Journal of the Engineering Mechanics(ASCE), 105 (6), 933-952.
4. Bažant, Z. P. (1995). "Creep and damage in concrete." In: Skalnet, J., Mindess, S. (Eds.), Materials Science of Concrete. American Ceramic Society, Westerville, OH, pp. 335-389.
5. Bažant, Z. P., Hauggard, A., Baweja, S. and Ulm, F.-J. (1997). "Microprestress solidification theory for concrete creep, part I: Aging and drying effects." Journal of Engineering Mechanics (ASCE), 123 (11), 1188-1194.
6. Bažant, Z. P. and Baweja, S. (1997). "Creep and shrinkage prediction model for analysis and design of concrete structures: model B3." In: Al-Maraseer (Ed.), SP-194: The Adam Neville Symposium: Creep and Shrinkage-Structural Design Effects. American Conrete Institue (ACI), Farmington Hills, MI, pp. 1-83.
7. Bentz, D. (1997). "Three-dimensional computer simulation of Portland cement hydration and microstructure development." Journal of the American Ceramic Society, 80 (1), 3-21, see also http://ciks.cbt.nist.gov/garbocz/ AmCeram/.
8. Bernard, O., Ulm, F.-J. and Lemarchand, E. (2003). "A multiscale micromechanics-hydration model for the early-age elastic properties of cement-based materials." Cement and Concrete Research, 11, 1293-1309.
9. Beurthey, S. and Zaoui, A. (2000). "Structural morphology and relaxation spectra of viscoelastic heterogenous materials." European Journal of Mechanics A / Solids, 19,1-16.
10. Cervera, M., Oliver, J. and Prato, T. (1999). "Thermo-chemo- mechanical model for concrete. II: damage and creep." Journal of Engineering Mechanics (ASCE), 125 (9), 1028-1039.
11. Diamond, S. (2004). "The microstructure of cement paste and concrete - a visual primer." Cement and Concrete Composites, 26 (8), 919-933.
12. Eshelby, J. (1957). "The determination of the elastic field of an ellipsoidal inclusion, and related problems." Proceedings of the Royal Society of London A, 241, 376-396.
13. Hershey, A. (1954). "The elasticity of an isotropic aggregate of anisotropic cubic crystals." Journal of Applied Mechanics (ASME), 21,236-240.
14. Hummel, A., Wesche, K., Brand, W., Rüsch, H., Kordina, K. and Hilsdorf, H. (1962). "Versuche über das Kriechen unbewehrten Betons [Creep tests on plain concrete]." Tech. Rep. 146, Deutscher Ausschuß für Stahlbeton, Berlin, in German.
15. Jennings, H. M. (2000). "A model for the microstructure of calcium silicate hydrate in cement paste." Cement and Concrete Research, 30,101-116.
16. Jennings, H. M. (2004). "Colloid model of C-S-H and implications to the problem of creep and shrinkage." Materials and Structures, 11, 59-70.
17. Kroener, E. (1958). "Berechnung der elastischen Konstanten des Vielkristalls aus den Konstanten des Einkristalls [Computation of the elastic constants of a polycrystal based on the constants of the single crystal]." Zeitschrift für Physik, 151, 504-518, in German.
18. Lackner, R., Hellmich, Ch. and Mang, H. A. (2002a). "Constitutive modeling of cementitious materials in the framework of chemoplasticity." International Journal for Numerical Methods in Engineering, 53 (10), 2357-2388.
19. Lackner, R., Macht, J. and Mang, H. A. (2002b). "Projekt zur Erstellung eines Programmsystems zur praktischen Umsetzung eines hybriden Verfahrens zur Bestimmung der Beanspruchung von Tunnelschalen aus Spritzbeton [Project for the development of a program system for the practical realization of a hybrid method for determination of the loading of shotcrete tunnel shells]." Tech. rep., Vienna University of Technology, Vienna, in German.
20. Lackner, R., Macht, J. and Mang, H. A. (2006). "Hybrid analysis method for on-line quantification of stress states in tunnel shells." Computer Methods in Applied Mechanics and Engineering, 195 (41-43), 5361-5376.
21. Lackner, R. and Mang, H. A. (2002). "Modeling of early-age fracture of shotcrete: application to tunneling." In: Karihaloo, B. (Ed.), Proceedings of the IUTAM Symposium on Analytical and Computational Fracture Mechanics of Nonhomogeneous Materials. Kluwer Academic Publishers, Dordrecht, Cardiff, Wales, pp. 197-210.
22. Lackner, R. and Mang, H. (2003). "Cracking in shotcrete tunnel shells." Engineering Fracture Mechanics, 70, 1047-1068.
23. Laplante, P. (1993). "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]." Ph.D. thesis, Ecole Nationale des Ponts et Chaussées, Paris, France, in French.
24. Laws, N. and McLaughlin, R. (1978). "Self consistent estimates for the viscoelastic creep compliance of composite materials." Proceedings of the Royal Society of London A, 359, 251-273.
25. Lee, E. (1955). "Stress analysis in visco-elastic bodies." Quarterly of Applied Mathematics, 13,183-190.
26. Mandel, J. (1966). "Mécanique des milieux continus [Continuum mechanics]." Gauthier, Paris, in French.
27. Mori, T. and Tanaka, K. (1973). "Average stress in matrix and average elastic energy of materials with misfitting inclusions." Acta Metallurgica, 21, 571-574.
28. Nabarro, F. (2001). "Creep mechanism in crystalline solids." Encyclopedia of Materials: Science and Technology, 1788-1795.
29. Neubauer, C. M. and Jennings, H. M. (2000). "The use of digital images to determine deformation throughout a microstructure. Part II: Application to cement paste." Journal of Material Science, 35, 5751-5765.
30. Pichler, Ch. (2007). "Multiscale characterization and modeling of creep and autogenous shrinkage of early-age cement-based materials." Ph.D. thesis, Vienna University of Technology.
31. Pichler, Ch., Lackner, R. and Mang, H. A. (2008). "Safety assessment of concrete tunnel linings under fire load." Journal of Structural Engineering (ASCE), 132 (6), 961-969.
32. Pichler, Ch. and Lackner, R. (2007). "Identification of logarithmic-type creep of calcium-silicate hydrates (CSH) by means of nanoindentation." Strain. In print.
33. Pichler, C.H., Lackner, R. and Mang, H. A. (2007). "A multiscale micromechanics model for the autogenous-shrinkage deformation of early-age cement-based materials." Engineering Fracture Mechanics, 74, 34-58.
34. Pichler, C.H., Lackner, R., Spira, Y and Mang, H. A. (2003). "Thermochemomechanical assessment of ground improvement by jet grouting in tunneling." Journal of Engineering Mechanics (ASCE), 129 (8), 951-962.
35. Ruetz, W. (1966). "Das Kriechen des Zementsteins im Beton und seine Beeinflussung durch gleichzeitiges Schwinden [Creep of cement in concrete and the influence of simultaneous shrinkage on this type of creep]." Deutscher Ausschuß für Stahlbeton, Heft 183, In German.
36. Sercombe, J., Hellmich, C., Ulm, F.-J. and Mang, H. A. (2000). "Modeling of early-age creep of shotcrete. I: model and model parameters." Journal of Engineering Mechanics (ASCE), 126 (3), 284-291.
37. Simo, J. and Hughes, T. (1998). "Computational inelasticity." Springer, Berlin.
38. Stehfest, H. (1970). "Algorithm 368: Numerical inversion of Laplace transforms." Communications of the ACM, 13, 47-49.
39. Taylor, H. F. W. (1997). "Cement chemistry, 2nd Edition." Thomas Telford Publishing, London.
40. Tennis, P. D. and Jennings, H. M. (2000). "A model for two types of calcium silicate hydrate in the microstructure of portland cement pastes." Cement and Concrete Research, 30, 855-863.
41. Thomas, J. J. and Jennings, H. M. (2006). "A colloidal interpretation of chemical aging of C-S-H gel and and its effects on the properties of cement paste." Cement and Concrete Research, 36, 30-38.
42. Ulm, F.-J. (1998). "Couplages thermochémomécaniques dans les bétons : un premier bilan. [Thermochemomechanical couplings in concretes: a first review]." Tech. rep., Laboratoires des Ponts et Chaussées, Paris, France. In French.
43. Ulm, F-J., Le Maou, F. and Boulay, C. (1999). "Creep and shrinkage couplings: new review of some evidence." Revue Francaise de Génie Civil. Ed. Hermès 3, 21-37.
44. Wittmann, F. (1982). "Creep and shrinkage mechanisms." In: Bažant, Z. P. and Wittmann, F. H. (Eds), Creep and Shrinkage of Concrete Structures, Wiley, Chichester, Ch. 6, 129-161.
45. Zaoui, A. (1997). "Structural morphology and constitutive behaviour of microheterogenous materials." In: Suquet, P. (Ed.), Continuum micromechanics. Springer, Vienna