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First published online January 1, 2009

Numerical Simulations of Fracture Resistance of Functionally Graded Concrete Materials

Abstract

The concept of grading material composition in a predetermined direction to target multiple objectives and functionality is applicable to the layering and positioning of different materials at specified depths. From a fracture mechanics perspective, this study explores the advantages of using functionally graded concrete materials (FGCMs), that is, plain concrete and fiber-reinforced concrete (FRC), in two distinct layers. The fracture energy (G) and residual load capacity (Ps) of two-layered concrete beams are investigated by means of numerical simulations with a cohesive zone model (CZM) implemented in a finite element framework. The required fracture parameters for defining the CZM are obtained from individual fracture tests of the plain concrete and FRC materials. The numerical simulations analyzed the effects of FRC thickness and position (whether at the top or bottom of the beam) on the fracture resistance of the two-layered concrete beam. A cost–benefit analysis showed that the FRC placed in the bottom lift is more fracture efficient (higher G- and Pδ-values at lower cost) than when it is placed in the top lift. There is also an optimal FRC thickness in which the benefit in fracture resistance is reduced as the FRC layer is increased. The application of a CZM to predict the fracture behavior of an FGCM beam has demonstrated its potential for also quantifying the effects of FGCMs on the fracture resistance of concrete pavements.

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References

1. Christensen R. M. Mechanics of Composite Materials. John Wiley and Sons, New York, 1979.
2. Milton G. W. The Theory of Composites. Cambridge University Press, 2002.
3. Goup A. J., and Vel S. S. Multi-Objective Optimization of Functionally Graded Materials with Temperature-Dependent Material Properties. Materials and Design, Vol. 28, No. 6, 2007, pp. 1861–1879.
4. Hirano T., Teraki J., and Yamada T. On the Design of Functionally Gradient Materials. In Proceedings of the First International Symposium on Functionally Gradient Materials (Yamanouochi M., Koizumi M., Hirai T., and Shiota P., eds.), Sendai, Japan, 1990, pp. 5–10.
5. Paulino G. H., Jin Z.-H., and Dodds R. H. Failure of Functionally Graded Materials. In Comprehensive Structural Integrity, Elsevier, Amsterdam, 2003, Vol. 2, Chap. 13, pp. 607–644.
6. Pindera M.-J., Aboudi J., Glaeser A. M., and Arnold S. M. Use of Composites in Multi-Phased and Functionally Graded Materials. Composites, Part B, Vol. 28, 1997, pp. 1–175.
7. Miyamoto Y., Kaysser W. A., Rabin B. H., Kawasaki A., and Ford R. G. Functionally Graded Materials: Design, Processing and Applications. Kluwer Academic, Dordrecht, 1999.
8. Birman V. Stability of Functionally Graded Hybrid Composite Plates. Composites Engineering, Vol. 5, 1995, pp. 913–921.
9. Birman V. Stability of Functionally Graded Shape Memory Alloy Sandwich Panels. Smart Materials and Structures, Vol. 6, 1997, pp. 278–286.
10. Balaguru P., and Shah S. P. Fiber Reinforced Cement Composites. McGraw-Hill, 1992.
11. Newhook J. P., and Mufti A. A. Synthetic Fiber-Reinforced Concrete Bridge Decks: Redefining Bridge Deck Design and Behavior. In Transportation Research Record 1532, TRB, National Research Council, Washington, D.C., 1996, pp. 21–26.
12. Li V. C. On Engineered Cementitious Composites (ECC): A Review of the Material and Its Applications. Journal of Advanced Concrete Technology, Vol. 1, No. 3, 2003, pp. 215–230.
13. Triandafilou L. N. Implementation of High-Performance Materials: When Will They Become Standard? Sixth International Bridge Engineering Conference: Reliability, Security, and Sustainability in Bridge Engineering (CD-ROM), Transportation Research Board of the National Academies, Washington, D.C., 2005.
14. Bentur A., and Mindess S. Fibre Reinforced Cementitious Composites, 2nd ed. Taylor and Francis, 2007.
15. Cotterell B., and Mai Y. W. Fracture Mechanics of Cementitious Composites. Blackie Academic & Professional, 1996.
16. Mindess S., Young J. F., and Darwin D. Concrete, 2nd ed. Prentice Hall, 2003.
17. Yang E. H., and Li V. C. Fiber-Bridging Constitutive Law of Engineered Cementitious Composites. Journal of Advanced Concrete Technology, Vol. 6, No. 1, 2008, pp. 181–193.
18. Darter M. I. Report on the 1992 U.S. Tour of European Concrete Highways. FHWA, U.S. Department of Transportation, 1992.
19. Springenschmid R., and Fleischer W. Recent Developments in the Design and Construction of Concrete Pavements for German Expressways (Autobahns). Proc., Seventh International Conference on Concrete Pavements (CD-ROM), Orlando, Fla., 2001.
20. Fleischer W. Concrete for Heavily Loaded Modern Traffic Areas (Part 1). Béton, Vol. 11, 2003, pp. 536–538.
21. van Leest A., and van Keulen W. The Structural Properties of Optimized Exposed Aggregate Concrete in the Netherlands. Proc., 9th International Symposium on Concrete Roads (CD-ROM), Istanbul, Turkey, 2003.
22. Hall K. Long-Life Concrete Pavements in Europe and Canada. Publication FHWA-PL-07-027. FHWA, U.S. Department of Transportation, 2007.
23. Smiley D. P. First Year Performance of the European Concrete Pavement on Northbound I-75—Detroit, Michigan. Michigan Department of Transportation, 1995.
24. Cable J. K., and Frentress D. P. Two-Lift Portland Cement Concrete Pavements to Meet Public Needs. Technical report. FHWA, U.S. Department of Transportation, 2004.
25. Tompkins D., Khazanovich L., Darter M., and Fleischer W. Design and Construction of Sustainable Pavements: Austrian and German Two-Layer Concrete Pavements. In Transportation Research Record: Journal of the Transportation Research Board, No. 2098, Transportation Research Board of the National Academies, Washington, D.C., 2009, pp. 75–85.
26. Roesler J. R., Paulino G. H., Gaedicke C., Bordelon A., and Park K. Fracture Behavior of Functionally Graded Concrete Materials for Rigid Pavements. In Transportation Research Record: Journal of the Transportation Research Board, No. 2037, Transportation Research Board of the National Academies, Washington, D.C., 2007, pp. 40–50.
27. Barenblatt G. I. The Formation of Equilibrium Cracks During Brittle Fracture: General Ideas and Hypotheses, Axially Symmetric Cracks. Journal of Applied Mathematics and Mechanics, Vol. 23, 1959, pp. 622–636.
28. Dugdale D. S. Yield of Steel Sheets Containing Slits. Journal of the Mechanics and Physics of Solids, Vol. 8, 1960, pp. 100–104.
29. Xu X. P., and Needleman A. Numerical Simulations of Fast Crack Growth in Brittle Solids. Journal of the Mechanics and Physics of Solids, Vol. 42, No. 9, 1994, pp. 1397–1434.
30. Geubelle P., and Baylor J. Impact-Induced Delamination of Composites: A 2D Simulation. Composites, Vol. 29B, 1998, pp. 589–602.
31. Song S. H., Paulino G. H., and Buttlar W. G. A Bilinear Cohesive Zone Model Tailored for Fracture of Asphalt Concrete Considering the Viscoelastic Bulk Material. Engineering Fracture Mechanics, Vol. 73, 2006, pp. 2829–2848.
32. Bazant Z. P., and Kazemi M. T. Determination of Fracture Energy, Process Zone Length and Brittleness Number from Size Effect, with Application to Rock and Concrete. International Journal of Fracture, Vol. 44, 1990, pp. 111–131.
33. Park K., Paulino G. H., and Roesler J. R. Determination of the Kink Point in the Bilinear Softening Model for Concrete. Engineering Fracture Mechanics, Vol. 75, 2008, pp. 3806–3818.
34. Hillerborg A., Modeer M., and Peterson P. E. Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements. Cement Concrete Research, Vol. 6, 1976, pp. 773–782.
35. Hillerborg A. The Theoretical Basis of a Method to Determine the Fracture Energy GF of Concrete. Material and Structures, RILEM, Vol. 16, 1985, pp. 291–296.
36. Jenq Y., and Shah S. P. Two Parameter Model for Concrete. Journal of Engineering Mechanics, Vol. 111, No. 10, 1985, pp. 1227–1241.
37. Roesler J. R., Paulino G. H., Park K., and Gaedicke C. Concrete Fracture Prediction Using Bilinear Softening. Cement and Concrete Composites, Vol. 29, 2007, pp. 300–312.

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Article first published online: January 1, 2009
Issue published: January 2009

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© 2009 National Academy of Sciences.
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Authors

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Francisco Evangelista, Jr.
Department of Civil Engineering, University of Illinois at Urbana–Champaign, 205 North Mathews Avenue, MC-250, Urbana, IL 61801.
Jeffery Roesler
Department of Civil Engineering, University of Illinois at Urbana–Champaign, 205 North Mathews Avenue, MC-250, Urbana, IL 61801.
Glaucio Paulino
Department of Civil Engineering, University of Illinois at Urbana–Champaign, 205 North Mathews Avenue, MC-250, Urbana, IL 61801.

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