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Nonlinear Fracture Parameters for Cement Based Composites: Theory and Experiments

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Application of Fracture Mechanics to Cementitious Composites

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

Abstract

Many have attempted to apply linear elastic fracture mechanics to quantitatively express the fracture toughness of concrete. For example, by testing notched beams one can calculate, using the formulas developed from LEFM, fracture toughness in terms of KIc, the critical stress intensity factor for Mode I opening. Unfortunately, it has been observed that when KIc is calculated from the measured values of the maximum load and the initial notch length, its value is dependent on the dimensions of the beams. This size dependency of the single parameter LEFM based fracture criterion can be attributed primarily to the nonlinear effects associated with crack propagation in concrete. In this paper, a simple method is suggested to calculate a size-independent fracture toughness parameters.

In this paper, a simple method is suggested to calculate a size-independent fracture toughness parameter.

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References

  1. Kaplan, M. F., “Crack Propagation and the Fracture of Con-Crete,” Journal of the American Concrete Insatitute, Vol. 58, No. 5, pp. 591–610, November 1961.

    Google Scholar 

  2. Lott, J. L., and C. E. Kesler, “Crack Propagation in Plain Concrete,” T. & A. M. Report. No. 648, University of Illinois at Urbana-Champaign, August 1964.

    Google Scholar 

  3. Moavenzadeh, F., and R. Kuquel, “Fracture of Concrete,” Journal of Material, JMLSA, Vol. 4, No. 3, September 1969, pp. 497–519.

    Google Scholar 

  4. Naus, D. J., and J. L. Lott, “Fracture Toughness of Portland Cement Concretes,” ACI Journal, June 1969, pp. 481–489.

    Google Scholar 

  5. Shah, S. P., F. J. McGarry, “Griffith Fracture Criterion and Concrete,” Journal of Engineering Division (ASCE), Dec. 1971, pp. 1663–1675.

    Google Scholar 

  6. Walsh, P. F., “Fracture of Plain Concrete,” Indian Concrete Journal, Vol. 46, No. 11, 469, 470, 476, Nov. 1972.

    Google Scholar 

  7. Brown, J. H., “Measuring the Fracture Toughness of Cement Paste and Mortar,” Magazine of Concrete Research, Vol. 24, No. 81, 1972, pp. 185–196.

    Google Scholar 

  8. Higgins, D. D., and J. E. Bailey, “Fracture Measurements on Cement Paste,” Journal of Material Science, Vol. 11, 1976, pp. 1995–2003.

    Article  ADS  Google Scholar 

  9. Mindess, S., and J. S. Nadeau, “Effect of Notch Width on KIc for Mortar and Concrete,” Cement and Concrete Research, Vol. 6, 1976, pp. 529–534.

    Article  Google Scholar 

  10. Gjørv, O. E., S. I. Sørensen, and A. Arnesen, “Notch Sensitivity and Fracture Toughness of Concrete,” Cement and Concrete Research, Vol. 7, 1977, pp. 333–344.

    Article  Google Scholar 

  11. Swartz, S. E., K. K. Hu, and G. L. Jones, “Compliance Monitoring of Crack Growth in Concrete,” Journal of the Eng. Mech. ASCE, Vol. 104, No. EM4, August 1978, pp. 789–800.

    Google Scholar 

  12. Swartz, S. E., K. K. Hu, and C. M. J. Huang, “Stress Intensity Factor for Plain Concrete in Bending — Prenotched versus Precracked Beams,” Experimental Mechanics, Nov. 1982, pp. 412–417.

    Google Scholar 

  13. Strange, P. C., and A. H. Bryant, “Experimental Tests on Concrete Fracture,” Technical Notes, Journal of Eng. Mech. Div., ASCE, Vol. 105, No. EM2, April 1979, pp. 337–342.

    Google Scholar 

  14. Wecharatana, M., and S. P. Shah, “Double Torsion Tests for Studying Slow Crack Growth of Portland Cement Mortar,” Cement and Concrete Research, Vol. 10, 1980, pp. 833–844.

    Article  Google Scholar 

  15. Wecharatana, M., and S. P. Shah, “Slow Crack Growth in Cement Composites,” Journal of Structural Div., ASCE, June 1982, pp. 1100–1113.

    Google Scholar 

  16. Wecharatana, M., and S. P. Shah, “Prediction of Nonlinear Fracture Process Zone in Concrete,’ journal of EMD, ASCE, Vol. 109, No. 5, October 1983, pp. 1231–1246.

    Article  Google Scholar 

  17. Wecharatana, M., and S. P. Shah, “A Model for Predicting Fracture Resistance of Fiber Reinforced Concrete,” Cement and Concrete Research, Vol. 13, 1983, pp. 819–829.

    Article  Google Scholar 

  18. Wecharatana, M., “Fracture Resistance in Cementitious Composites,” Ph.D. Dissertation, Department of Materials Engineering, University of Illinois, Chicago, Chicago, Illinois, March 1982.

    Google Scholar 

  19. Go., C. G., and S. E. Swartz, “Fracture Toughness Techniques to Predict Crack Growth and Tensile Failure in Concrete,” Report 150, College of Engineering, Kansas State University, July 1983.

    Google Scholar 

  20. Hillerborg, A., 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, Vol. 6, 1976, pp. 773–782.

    Article  Google Scholar 

  21. Hillemier, B., and H. M. Hilsdorf, “Fracture Mechanics on Concrete Composites,” Cement and Concrete Research, Vol. 7, 1971, pp. 523–536.

    Article  Google Scholar 

  22. Gopalaratnam, V. S., and S. P. Shah, “Softening Response of Plain Concrete in Direct Tension,” Accepted for publication, ACI Journal, (MS 5652).

    Google Scholar 

  23. Liebowitz, H., and D. L. Jones, “On Test Methods for Nonn-linear Fracture Mechanics,” Proc. 10th Annual Meeting, Society of Engineering Science, Raleigh, N. C., 1973.

    Google Scholar 

  24. Catalano, P. M., and A. R. Ingraffea, “Concrete Fracture: A Linear Elastic Fracture Mechanics Approach,” Report No. 82–1, Dept. of Structural Engineering, Cornell University, Nov. 1982.

    Google Scholar 

  25. Velazco, G., K. Visalvanich, and S. P. Shah, “Fracture Behavior and Analysis of Fiber Reinforced Concrete Beams,” Cement and Concrete Research, Vol. 10, pp. 41–51, 1980.

    Article  Google Scholar 

  26. Tada, H., P. C. Paris, and G. R. Irwin, The Stress Analysis of Cracks Handbook, Del Research Corporation, Hellertown, Pennsylvania 1973.

    Google Scholar 

  27. Hillerborg, A., “Additional Concrete Fracture Energy Tests Performed by 6 Laboratories According to a Draft RILEM Recommendation,” Report to RILEM TC50-FMD.

    Google Scholar 

  28. Nallathambi, P., B. L. Karihaloo, and B. S. Heaton, “Various Size Effect in Fracture of Concrete”.

    Google Scholar 

  29. Ballarini, R., S. P. Shah, and L. M. Keer, “Crack Growth in Cement Based Composites,” Engineering Fracture Mechanics, (To appear).

    Google Scholar 

  30. Gylltoft, K., “Fracture Mechanics Models for Fatigue in Concrete Structures,” Doctoral thesis, LULEA University of Technology, 1983.

    Google Scholar 

  31. Jenq, Y. S., and S. P. Shah, “A Fracture Toughness Criterion for Concrete,” Submitted for publication, August 1984.

    Google Scholar 

  32. Imperato, L., private communication, ISMES, Bergamo, Italy.

    Google Scholar 

  33. Eligehausen, R., private communication, University of Stuttgart, Germany.

    Google Scholar 

  34. Jenq, Y. S., and S. P. Shah, “ A Two Parameter Fracture Model For Concrete,” (in preparation).

    Google Scholar 

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© 1985 Martinus Nijhoff Publishers, Dordrecht

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Jenq, Y.S., Shah, S.P. (1985). Nonlinear Fracture Parameters for Cement Based Composites: Theory and Experiments. 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_11

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  • DOI: https://doi.org/10.1007/978-94-009-5121-1_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8764-3

  • Online ISBN: 978-94-009-5121-1

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