Arabian Journal for Science and Engineering

, Volume 39, Issue 12, pp 8499–8506 | Cite as

Application of the Maximum Undamaged Defect Size (d max) Concept in Fiber-Reinforced Concrete Pavements

  • Hossam El-Din M. SallamEmail author
  • Muhammad Mubaraki
  • Nur Izzi Md. Yusoff
Research Article - Civil Engineering


Many fiber types are used in fiber-reinforced concrete (FRC) pavements. The maximum undamaged defect size (d max) concept has been applied to predict notch-based fracture in different types of concrete. The present paper applies this concept to different types of FRC pavement, namely, glass fiber-reinforced concrete pavement and steel fiber-reinforced concrete pavement. Due to the quasi-brittle manner of concrete, various fracture models have been developed to study the crack propagation in the pavement structures. The fracture energy was determined based on the recommendation of the RILEM Committee 50-FMC. An experimental study was carried out to investigate the effect of adding short fiber, steel or glass, in controlling the fracture energy of concrete. The analysis was invoked for constant fiber length of 25mm. The flexure test of single-edge notched and unnotched specimens was performed using three-point bending configuration. Four different values of crack-depth ratios were considered, mainly, 0.00, 0.10, 0.25, and 0.40. Experimental results showed that the calculated d max based on RILEM Committee 50-FMC is greater than the maximum aggregate size (MAZ). This means that there is no compatibility between the flexural strength of FRC and its fracture energy calculated based on RILEM Committee 50-FMC. Therefore, a modified calculation of the area of load-deflection curve was suggested to improve the reliability of fracture energy measured based on RILEM Committee 50-FMC. It is found based on this modification that d max is less than 0.7 MAZ.


Undamaged defect Fracture energy FRC Rigid pavements Flexural strength 


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  1. 1.
    Olonade K.A., Alake A.D., Morakinyo A.G.: Strength development and crack pattern of coconut fibre reinforced concrete (CFRC). Civil Env. Res. 4, 46–53 (2013)Google Scholar
  2. 2.
    American Concrete Pavement Association: Fiber Reinforced Concrete Pavements. R&T Update, Number 4.10 (2003)Google Scholar
  3. 3.
    AASHTO-AGC-ARTBA Joint Committee: Subcommittee on New Highway Materials and Technologies. 2006 Summary Report, 48 pp (2006)Google Scholar
  4. 4.
    Lanzoni L., Nobili A., Tarantino A.M.: Performance evaluation of a polypropylene-based draw-wired fibre for concrete structures. Constr. Build. Mater. 28, 798–806 (2012)CrossRefGoogle Scholar
  5. 5.
    Nobili A., Lanzoni L., Tarantino A.M.: Experimental investigation and monitoring of a polypropylene-based fiber reinforced concrete road pavement. Constr. Build. Mater. 47, 888–895 (2013)CrossRefGoogle Scholar
  6. 6.
    Arnold S., Fleming P., Austin S., Robins P.: A test method and deterioration model for joints and cracks in concrete slabs. Cement Concrete Res. 35, 2371–2383 (2005)CrossRefGoogle Scholar
  7. 7.
    Schoi Y., Park J.S., Jung W.T.: Study on the shrinkage control of fiber reinforced concrete pavement. Proc. Eng. 14, 2815–2822 (2011)CrossRefGoogle Scholar
  8. 8.
    Meda A., Plizzari G.A., Riva P.: Fracture behavior of SFRC slabs on grade. Mater. Struct. 37, 405–411 (2004)CrossRefGoogle Scholar
  9. 9.
    Altoubat S.A., Roesler J.R., Lange D.A., Rieder K-A.: Simplified method for concrete pavement design with discrete structural fibers. Constr. Build. Mater. 22, 384–393 (2008)CrossRefGoogle Scholar
  10. 10.
    Tsai C-T., Kung G.T-C., Hwang C-L.: Use of high performance concrete on rigid pavement construction for exclusive bus lanes. Constr. Build. Mater. 24, 732–740 (2010)CrossRefGoogle Scholar
  11. 11.
    Koksal F., Ilki A., Tasdemir M.A.: Optimum mix design of steel-fibre-reinforced concrete plates. Arab. J. Sci. Eng. 38, 2971–2983 (2013)CrossRefGoogle Scholar
  12. 12.
    Banthia N., Nadakumar N.: Crack growth resistance of hybrid reinforced cement composites. Cement Concrete Compos. 25, 3–9 (2003)CrossRefGoogle Scholar
  13. 13.
    Zhang, J.; Li, V.: Modeling of mode I crack propagation in fiber reinforced concrete by fracture mechanics. In: Proceedings of Construction Materials-Theory and Applications, Commemorative Volume in Honor of Professor Hans-Wolf Reinhardt, Publication by Ibidem-Verlag, Stuggart, pp. 215–229 (2000)Google Scholar
  14. 14.
    Chen L., Mindess S., Morgan D.R.: Specimen geometry and toughness of steel fiber reinforced concrete. J. Mater. Civil Eng. 6, 529–541 (1994)CrossRefGoogle Scholar
  15. 15.
    Carpinteri, A. (ed.): Nonlinear Crack Models for Nonmetallic Materials. pp. 30 Kluwer Academic Publication, Dordercht (1999)Google Scholar
  16. 16.
    van Mier J.G.M.: Fracture Processes of Concrete, pp. 448. CRC Press, Boca Raton (1997)Google Scholar
  17. 17.
    Shah S.P., Swartz S.R., Ouyang C.: Fracture Mechanics of Concrete, pp. 552. Wiley, New York (1995)Google Scholar
  18. 18.
    Saouma V.E., Natekar D., Hansen E.: Cohesive stresses and size effects in elasto-plastic and quasi-brittle materials. Int. J. Fract. 119, 287–298 (2003)CrossRefGoogle Scholar
  19. 19.
    Navalukar R.K., Hsu C-T.T., Kim S.K., Wecharatana M.: True fracture energy of concrete. ACI Mater. J. 96, 213–225 (1999)Google Scholar
  20. 20.
    Nelson, P.K.; Li, V.; Kamada, T.: Fracture toughness of microfiber reinforced cement composites. J. Mater. Civil Eng. 14, 384–39 (2002)Google Scholar
  21. 21.
    RILEM Committee on Fracture Mechanics of Concrete-Test Methods (RILEM 50-FMC). Determination of the fracture energy of mortar and concrete by means of three-point bend test on notched beams. Mater. Struct. 18, 285–290 (1985)Google Scholar
  22. 22.
    RILEM TC 162-TDF: Test and design methods for steel fibrereinforced concrete: Bending test, Final Recommendation, Mater. Struct. 35, 579–582 (2002)Google Scholar
  23. 23.
    Zhang X.X., AbdElazim A.M., Ruiz G., Yu R.C.: Fracture behaviour of steel fibre-reinforced concrete at a wide range ofloading rates. Int. J. Impact Eng. 71, 89–96 (2014)CrossRefGoogle Scholar
  24. 24.
    Mo A., Yab K.K.Q., Alengaram U.J., Jumaat M.Z.: The effect of steel fibres on the enhancement of flexural and compressive toughness and fracture characteristics of oil palm shell concrete. Constr. Build. Mater. 55, 20–28 (2014)CrossRefGoogle Scholar
  25. 25.
    Hossain K.M.A., Lachemi M., Sammour M., Sonebi M.: Strength and fracture energy characteristics of self-consolidating concrete incorporating polyvinyl alcohol, steel and hybrid fibres. Constr. Build. Mater. 45, 20–29 (2013)CrossRefGoogle Scholar
  26. 26.
    Cifuentes H., Garcia F., Maeso O., Medina F.: Influence of the properties of polypropylene fibres on the fracture behaviour of low-, normal- and high-strength FRC. Constr. Build. Mater. 45, 130–137 (2013)CrossRefGoogle Scholar
  27. 27.
    Denneman E., Wu R., Kearsley E.P., Visser A.T.: Discrete fracture in high performance fibre reinforced concrete materials. Eng. Fract. Mech. 78, 2235–2245 (2011)CrossRefGoogle Scholar
  28. 28.
    Sallam H.E.M.: Fracture energy of fiber reinforced concrete. Al-Azhar Univ. Eng. J. 6, 555–564 (2003)Google Scholar
  29. 29.
    Seleem M.H., Sallam H.E.M., Attwa A.T., Heiza K.M., Shaheen Y.B.: Fracture Toughness of Self Compacting Concrete, MESOMECHANICS-2008. Housing & Building Research Center(HBRC), Giza (2008)Google Scholar
  30. 30.
    Fayed, A.S.; Abd-Alhady, A.A.; Sherbini, H.S.; Sallam, H.E.M.: Crack path in steel fiber reinforced concrete composite under mixed mode. In: ASJCE Fac. Eng. Ain Shams Univ., Cairo, vol. 1, no. 1, pp. 17–26. ISSN:1687-8590 (2008)Google Scholar
  31. 31.
    Al Hazmi, H.S.J.; Al Hazmi, W.H.; Shubaili, M.A.; Sallam, H.E.M.: Fracture Energy of Hybrid Polypropylene–Steel Fiber High Strength Concrete, HPSM 2012, 18–20 June, New Forest, UK, High Performance Structure and Materials, vol. VI, pp. 309–318 (2012). doi: 10.2495/HPSM120271
  32. 32.
    Taylor D.: The Theory of Critical Distances: A New Perspective in Fracture Mechanics. Elsevier, Oxford (2007)Google Scholar
  33. 33.
    Susmel L., Taylor D.: A novel formulation of the theory of critical distances to estimate lifetime of notched components in the medium-cycle fatigue regime. Fatigue Fract. Eng. Mater. Struct. 30, 567–581 (2007)CrossRefGoogle Scholar
  34. 34.
    Askes H., Livieri V., Susmel L., Taylor D., Tovo R.: Intrinsic material length, theory of critical distances and gradient mechanics: analogies and differences in processing linear-elastic crack tip stress fields. Fatigue Fract. Eng. Mater. Struct. 36, 39–55 (2013)CrossRefGoogle Scholar
  35. 35.
    Pook L.P.: Analysis and application of fatigue crack growth data. J. Strain Anal. Eng. 10(4), 242–250 (1975)CrossRefGoogle Scholar
  36. 36.
    Forst N.E., March K.J., Pook L.P.: Metal Fatigue. Charendon Press, Oxford (1974)Google Scholar
  37. 37.
    Aliha M.R.M., Behbahani H., Fazaeli H., Rezaifar M.H.: Study of characteristic specification on mixed mode fracture toughness of asphalt mixtures. Constr. Build. Mater. 54, 623–635 (2014)CrossRefGoogle Scholar
  38. 38.
    Mubaraki M.A., Abd-Elhady A.A., Sallam H.E.M.: Mixed mode fracture toughness of recycled tire rubber-filled concrete for airfield rigid pavements. Int. J Pavement Res. Technol. 6(1), 8–14 (2013)Google Scholar
  39. 39.
    Sallam H.E.M., Abd-Elhady A.A.: Crack length-effective stress intensity factor relation in notched semi-circular specimens for different mode of mixity. RAME 2(4), 120–124 (2013)Google Scholar
  40. 40.
    Sallam H.E.M., Abd-Elhady A.A.: Mixed mode crack initiation and growth in notched semi-circular specimens-Three dimensional finite element analysis. Asian J. Mater. Sci. 4(2), 34–44 (2012)CrossRefGoogle Scholar
  41. 41.
    ACI Committee 544: Guide for Specifying Mixing, Placing, and Finishing Steel Fiber Reinforced Concrete. ACI SP81, pp. 441–447 (1984)Google Scholar

Copyright information

© King Fahd University of Petroleum and Minerals 2014

Authors and Affiliations

  • Hossam El-Din M. Sallam
    • 1
    Email author
  • Muhammad Mubaraki
    • 1
  • Nur Izzi Md. Yusoff
    • 2
  1. 1.Department of Civil Engineering, College of EngineeringJazan UniversityJazanSaudi Arabia
  2. 2.Department of Civil and Structural Engineering, Faculty of Engineering and Built EnvironmentUniversiti Kebangsaan MalaysiaBangiMalaysia

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