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Fracture Resistance Parameters for Cementitious Materials and their Experimental Determinations

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Application of Fracture Mechanics to Cementitious Composites

Part of the book series: NATO ASI Series ((NSSE,volume 94))

Abstract

The need for characterization of fracture resistance in metals has long been recognized. Spurred on by the development of turbine engines and the aviation industry, advances in linear and non-linear fracture mechanics have rapidly established standardized testing techniques to rank materials and to aid in the design against fracture failure in many metal structures. Un-fortunately, the same has not happened in the concrete industry. The ACI code, for example, does not embody concepts from fracture mechanics. It has been said that the code is a “low-tech” one and at least part of the reason may be attributed to our lack of understanding of the fracture behavior in concrete and the proper application of fracture mechanics in concrete structure design. Also, our inability to characterize fracture resistance in concrete almost certainly has an effect on prohibiting the rapid development of new cementitious composites with improved strength and ductility. The need for a rational basis of concrete structure design with regard to public safety and economy, and the increasing demand in load carrying capability of concrete structures under severe environments are forcing us to reconsider our past strategy.

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References

  1. Hillerborg, A., Analysis of One Single Crack, Fracture Mechanics of Concrete, ed. F. H. Whitmann, ( Elsevier, 1983 ), 223–250.

    Google Scholar 

  2. Ingraffea, A.R. and W.H. Gerstle, Non-linear Fracture Models for Discrete Crack Propagation, Application of Fracture Mechanics to Cementitious Composites, this volume, 1984.

    Google Scholar 

  3. Sok, C., Etude de la Propagation d’une Fissure dans un Beton now Arme, Bull. Liaison Lab. Ponts Chaussees, 98 (1978), 73–84.

    Google Scholar 

  4. Jenq, Y.S. and S.P. Shah, Nonlinear Fracture Parameters for Cement Based Composites: Theory and Experiments, Application of Fracture Mechanics to Cementitious Composites, this volume, 1984.

    Google Scholar 

  5. Determination of the Fracture Energy of Mortar and Concrete by means of Three-point Bending Tests on Notched Beams, Proposed RILEM recommendation, January 1982, revised June, 1982. Lund Institute of Technology, Division of Building Materials.

    Google Scholar 

  6. Petersson, P-E., Crack Growth and Development of Fracture Zones In Plain Concrete and Similar Materials, Lund Institute of Technology, Division of Building Materials, Report TVBM-1006, 1981.

    Google Scholar 

  7. Dugdale, D.S., Yielding of Steel Plates Containing Slits, J. Mechanics Phys. Solids, vol. 8 (1960), 100–108.

    Article  ADS  Google Scholar 

  8. Barenblatt, G. I., The Mathematical Theory of Equilibrium Crack in the Brittle Fracture, Advances in Applied Mechanics, vol. 7 (1962), 55–125.

    Article  MathSciNet  Google Scholar 

  9. Hillerborg, A., Additional Concrete Fracture Energy Tests Performed by 6 Laboratories according to a Draft RILEM Recommendation, Report to RILEM TC50-FMD, 1984.

    Google Scholar 

  10. Hilsdorf, H.K. and W. Brameshuber, Size Effects in the Experimental Determination of Fracture Mechanics Parameters, Application of Fracture Mechanics to Cementitious Composites, this volume 1984.

    Google Scholar 

  11. Hillerborg, A., Concrete Fracture Energy Tests Performed by 9 Laboratories According to a Draft RILEM Recommendation, Report to RILEM TC50-FMC, Report TVBM-3015, Lund Institute of Tech., 1983.

    Google Scholar 

  12. Nallathambi, P., Karihaloo, B.L., and B.S. Heaton, Various Size Effects in Fracture of Concrete.

    Google Scholar 

  13. Hillerborg, A., Summary of Test Results from 7 Laboratories on the Influence of the Specimen Size on the Measured Value of the Fracture Energy. Preliminary Version, 1984.

    Google Scholar 

  14. Wecharatana, M. and S.P. Shah, “Slow Crack Growth in Cement Composites”, J. Structural Division, ASCE, vol. 108, No. ST6 (1982), 1401–1413.

    Google Scholar 

  15. Mai, Y.W., Fracture Measurements of Cementitious Composites, Application of Fracture Mechanics to Cementitious Composites, this volume 1984.

    Google Scholar 

  16. Bazant, Z.P., Kim, J.K. and P. Pfeiffer, Determination of Non-linear Fracture Parameters from Size Effect Tests, Application of Fracture Mechanics to Cementious Composites, this volume 1984.

    Google Scholar 

  17. Hillerborg, A., Modeer, M. 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, vol. 6 (1976) 773–782.

    Article  Google Scholar 

  18. Bazant, Z.P. and B.H. Oh, Crack Band Theory for Fracture of Concrete, Materials and Structures, (RILEM, Paris), vol. 16 (1983) 155–177.

    Google Scholar 

  19. Evans, R.H. and M.S. Marathe, Microcracking and Stress-Strain Curves for Concrete in Tension, Materiaux et Constructious, 1 (1968) 61–64.

    Article  Google Scholar 

  20. Modeer, M., A Fracture Mechanics Approach to Failure Analysis of Concrete Materials, University of Lund, Report TVBM-1001, 1979.

    Google Scholar 

  21. Gopalaratnam, V.S. and S.P. Shah, Softening Response of Concrete in Direct Tension, submitted to American Concrete Institute Journal, 1984.

    Google Scholar 

  22. Reinhardt, H.W., Fracture Mechanics of an Elastic Softening Material like Concrete, HERON. Delft Univ. of Technology, vol. 29, No. 2, 1984.

    Google Scholar 

  23. Rice, J.R., Mathematical Analysis in the Mechanics of Fracture, in Fracture: An Advanced Treatise, Vol. 2 (Academic Press, 1968 ), 191–311.

    Google Scholar 

  24. Rice, J.R., A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks, J. Appl. Mech., vol. 35, 379–386, 1968.

    Google Scholar 

  25. Chan, C.M. and V.C. Li, An Indirect Procedure of Measuring Tension Softening Curve for Concrete, in preparation, 1984.

    Google Scholar 

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© 1985 Martinus Nijhoff Publishers, Dordrecht

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Li, V.C. (1985). Fracture Resistance Parameters for Cementitious Materials and their Experimental Determinations. In: Shah, S.P. (eds) Application of Fracture Mechanics to Cementitious Composites. NATO ASI Series, vol 94. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5121-1_14

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  • DOI: https://doi.org/10.1007/978-94-009-5121-1_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8764-3

  • Online ISBN: 978-94-009-5121-1

  • eBook Packages: Springer Book Archive

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