Abstract
Based on the post-peak cyclic tensile behaviour of concrete, a model for the fatigue behaviour of this material is proposed. In order to verify the model, crack opening and closure of a discrete crack under cyclic loading is studied by computer simulation. Input for the model is an appropriate description for alternating stresses in the post-peak tensile region. Results of deformation-controlled uniaxial tensile tests have been used to develop a new model, which consists of continuous functions. This constitutive model was implemented in the FE-code DIANA. It is shown by numerical analysis of a beam under four-point bending, how a crack or softening zone propagates under repeated loading. The fatigue life of this beam for cyclic loading between load-levels 0 and 95 % of its maximum load bearing capacity, is predicted. The results of this preliminary analysis are promising and show good agreement with results that can usually be found in fatigue experiments.
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References
Elfgren, L. (Ed.), Fracture mechanics of concrete structures; From theory to applications. Report of RILEM TC 90-FMA, Chapman and Hall, 1989, 407 pp.
Hordijk, D.A., Doctoral Thesis, Delft University of Technology, The Netherlands, in preparation.
Cornelissen, H.A.W., State-of-the-art report on fatigue of plain concrete. Stevin report 5–86–3, Delft University of Technology and Chapter 3, CEB Bulletin, 188, “Fatigue of concrete structures”, pp. 85–142.
Gylltoft, K., Fracture mechanics models for fatigue in concrete structures. Doctoral thesis, Lulea University of Technology, 1983, 210 pp.
Reinhardt, H.W., Cornelissen, H.A.W. and Hordijk, D.A., Tensile tests and failure analysis of concrete. ASCE J. Structural Eng., 112(11), 1986 pp 2462–2477.
Yankelevsky, D.Z. and Reinhardt, H.W., Uniaxial behaviour of concrete in cyclic tension. ASCE J. of Structural Eng., 115(1), 1989, pp. 166–182.
Hillerborg, A., Modeer, M. and Petersson, P.E., Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement and Concrete Res., 6, 1976, pp. 773–782.
Janssen, J.G., Mode I fracture of plain concrete under monotonic and cyclic loading; Implementation and evaluation of a constitutive model in DIANA. Graduate Thesis, Delft University of Technology, The Netherlands, IBBC-TNO report nr. BI-90–110.
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© 1991 Springer Science+Business Media Dordrecht
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Hordijk, D.A., Reinhardt, H.W. (1991). Growth of Discrete Cracks in Concrete under Fatigue Loading. In: Shah, S.P. (eds) Toughening Mechanisms in Quasi-Brittle Materials. NATO ASI Series, vol 195. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3388-3_33
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DOI: https://doi.org/10.1007/978-94-011-3388-3_33
Publisher Name: Springer, Dordrecht
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