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Numerical Simulation of Concrete Fracture Through a Bilinear Softening Stress-Crack Opening Displacement Law

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Fracture of Concrete and Rock

Abstract

The crack growth process in concrete is analyzed by a cohesive crack model. A bilinear descending stress-crack opening displacement diagram is considered to simulate the flexural behaviour of pre-cracked specimens. Although the shape of the diagram affects the theoretical value of the maximum load, such a dependence is smaller and smaller by decreasing the material fracture energy and/or increasing the specimen size.

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References

  1. Determination of the fracture energy of mortar and concrete by means of three-point bend tests on notched beams, R.I.L.E.M. Draft Recommendation, 50-FMC Committee Fracture Mechanics of Concrete (Chairman: Prof. F.H. Wittmann).

    Google Scholar 

  2. A. Hillerborg, M. Modeer and P.E. Petersson, Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement and Concrete Research 6, 773–782 (1976).

    Article  Google Scholar 

  3. P.E. Petersson, Crack growth and development of fracture zones in plain concrete and similar materials. Report TVBM-1006, Division of Building Materials, Lund Institute of Technology (1981).

    Google Scholar 

  4. G. Colombo and E. Limido, Un metodo numerico per l’analisi di prove TPBT stabili: confronto con alcuni dati sperimentali, XI Convegno Nazionale dell’Associazione Italiana per l’Analisi delle Sollecitazioni, Torino, 233–243 (1983).

    Google Scholar 

  5. A. Carpinteri, A. Di Tommaso and M. Fanelli, Influence of material parameters and geometry on cohesive crack propagation. International Conference on Fracture Mechanics of Concrete, Lausanne, October 1–3, 1985, Vol. I, 95–113.

    Google Scholar 

  6. A. Carpinteri, G. Colombo and G. Giuseppetti, Accuracy of the numerical description of cohesive crack propagation. International Conference on Fracture Mechanics of Concrete, Lausanne, October 1–3, 1985, Vol. II, 25–31.

    Google Scholar 

  7. A. Carpinteri, Softening instability and equilibrium branching in cohesive solids, Physical-Numerical Modelling in Non-Linear Fracture Mechanics, Euromech Colloquium No. 198, September 11–12, 1985, Stuttgart.

    Google Scholar 

  8. A. Carpinteri, Interpretation of the Griffith instability as a bifurcation of the global equilibrium, Application of Fracture Mechanics to Ceraentitious Composites, NATO Advanced Research Workshop, September 4–7, 1984, Northwestern University, edited by S.P. Shah, Martinus Nijhoff Publishers, 287–316 (1985).

    Google Scholar 

  9. A. Carpinteri, Limit analysis for elastic-softening structures: scale and slenderness influence on the global brittleness, Structure and Crack Propagation in Brittle Matrix Composite Materials, Euromech Colloquium No. 204, November 12–15, 1985, Jablonna (Warsaw), edited by A.M. Brandt, Elsevier Applied Science Publishers, in press.

    Google Scholar 

  10. P.E. Roelfstra and F.H. Wittmann, Numerical method to link strain softening with failure of concrete, International Conference on Fracture Mechanics of Concrete, October 1–3, 1985, Lausanne, Vol. I, 127–139.

    Google Scholar 

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© 1989 Springer-Verlag New York Inc.

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Carpinteri, A., Colombo, G., Ferrara, G., Giuseppetti, G. (1989). Numerical Simulation of Concrete Fracture Through a Bilinear Softening Stress-Crack Opening Displacement Law. In: Shah, S.P., Swartz, S.E. (eds) Fracture of Concrete and Rock. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3578-1_14

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  • DOI: https://doi.org/10.1007/978-1-4612-3578-1_14

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-96880-3

  • Online ISBN: 978-1-4612-3578-1

  • eBook Packages: Springer Book Archive

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