Structural Engineering and Mechanics

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A novel meso-mechanical model for concrete fracture

  • Ince, R. (Engineering Faculty, Civil Engineering Department, Firat University)
  • Received : 2003.01.23
  • Accepted : 2004.03.08
  • Published : 2004.07.25
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Abstract

Concrete is a composite material and at meso-level, may be assumed to be composed of three phases: aggregate, mortar-matrix and aggregate-matrix interface. It is postulated herein that although non-linear material parameters are generally used to model this composite structure by finite element method, linear elastic fracture mechanics principles can be used for modelling at the meso level, if the properties of all three phases are known. For this reason, a novel meso-mechanical approach for concrete fracture which uses the composite material model with distributed-phase for elastic properties of phases and considers the size effect according to linear elastic fracture mechanics for strength properties of phases is presented in this paper. Consequently, the developed model needs two parameters such as compressive strength and maximum grain size of concrete. The model is applied to three most popular fracture mechanics approaches for concrete namely the two-parameter model, the effective crack model and the size effect model. It is concluded that the developed model well agrees with considered approaches.

Keywords

References

  1. ACI-318 (1989), Building Code Requirements for Reinforced Concrete, Detroit.
  2. Arslan, A., Ince, R. and Karihaloo, B.L. (2002), "Improved lattice model for concrete fracture", J. Eng. Mech., ASCE, 128(1), 57-65. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:1(57)
  3. Bazant, Z.P. (1986), "Mechanics of distributed cracking", Appl. Eng. Review, ASME, 39(5), 675-705. https://doi.org/10.1115/1.3143724
  4. Bazant, Z.P. and Novak, D. (2000), "Energetic-statistical size effect in quasibrittle failure at crack initiation", ACI Mat. J., 97(3), 381-392.
  5. Bazant, Z.P. and Oh, B.H. (1983), "Crack band theory for fracture concrete", Mat. Struct., 16, 155-157.
  6. Bazant, Z.P. and Pfeiffer, P.A. (1987), "Determination of fracture energy properties from size effect and brittleness number", ACI Mat. J., 84(6), 463-480.
  7. Bazant, Z.P., Tabbara, M.R., Kazemi, M.T. and Pijaudier-Cabot, G. (1990), "Random particle model for fracture of aggregate or fibre composites", J. Eng. Mech., ASCE, 116(8), 1686-1705. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:8(1686)
  8. de Borst, R. (1984), "Application of advanced solution techniques to concrete cracking and non-associated plasticity", Numerical Methods for Non-linear Problems, Ed. Taylor, C. et al., 2, Pineridge Press, Swansea.
  9. De Borst, R. (1987), "Smeared cracking, plasticity, creep and thermal loading- a unified approach", Comput. Meth. Appl. Mech. Eng., 62, 89-110. https://doi.org/10.1016/0045-7825(87)90091-0
  10. Hillerborg, A., Modeer, M. and Petersson, P.E. (1976), "Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements", Cement Conc. Res., 6, 773-782. https://doi.org/10.1016/0008-8846(76)90007-7
  11. Hsu, T.T.C., Slate, F., Sturman, G. and Winter, G. (1963), "Microcracking of plain concrete and the shape of the stress-strain curve", J. American Conc. Ins., 60, 209-224.
  12. Huang, J. and Li, V.C. (1989), "A meso-mechanical model of the tensile behaviour of concrete. Part I: modelling of the pre-peak stress-strain relation", Composites, 20(4), 361-369. https://doi.org/10.1016/0010-4361(89)90661-7
  13. Ince, R. (2001), "A new lattice model for concrete fracture at the meso level", Proc. XII National Mechanics Congress, Konya, Turkey, September. (in Turkish)
  14. Ince, R., Arslan, A. and Karihaloo, B.L. (2003), "Lattice modelling of size effect in concrete strength", Eng. Frac. Mech., 70, 2307-2320. https://doi.org/10.1016/S0013-7944(02)00219-9
  15. Jenq, Y.S. and Shah, S.P. (1985), "A two parameter fracture model for concrete", J. Eng. Mech., ASCE, 110(10), 1227-1241.
  16. Karihaloo, B.L. and Nallathambi, P. (1986), "Determination of specimen-size independent fracture toughness of plain concrete", Magazine Conc. Res., 38(135), 67-76. https://doi.org/10.1680/macr.1986.38.135.67
  17. Mindess, S. and Young, J.F. (1981), Concrete, Prentice-Hall, Inc., New Jersey.
  18. Kwan, A.K.H., Wang, Z.M. and Chan, H.C. (1999), "Mesoscopic study of concrete II: nonlinear finite element analysis", Comput. Struct., 70, 545-556. https://doi.org/10.1016/S0045-7949(98)00178-3
  19. Mazars, J. (1986), "A Description of micro and macro-scale damage of concrete structures", J. Eng. Frac. Mech., 25(5/6), 729-737. https://doi.org/10.1016/0013-7944(86)90036-6
  20. Mohamed, A.R. and Hansen, W. (1999), "Micromechanical modelling of concrete response under static loading- Part I: Model development and validation", ACI Mat. J., 96(2), 196-203.
  21. Nallathambi, P. and Karihaloo, B.L. (1989), "Fracture toughness of plain concrete from three-point bend specimens", Mat. Struct., 22, 185-193. https://doi.org/10.1007/BF02472186
  22. Rashid, Y.R. (1968), "Analysis of prestressed concrete pressure vessels", Nuclear Engineering and Design, 7(4), 334-355. https://doi.org/10.1016/0029-5493(68)90066-6
  23. Reinhardt, H.W. (1989), "Basic types of failure", Fracture Mechanics of Concrete Structure: From Theory to Applications (Report of RILEM FMA-90), Ed. Elfgren, L., Chapman & Hall, London.
  24. Roelfstra, P.E. (1988), "Simulation of strain localization process with numerical concrete", Proc. 'Cracking and Damage: Strain Localization and Size Effect, Cachan, October.
  25. Rots, J.G. (1988), "Computational modelling of concrete fracture", Dissertation, Delft University of Technology, The Netherlands.
  26. Sabnis, G.M. and Mirza, S.M. (1979), "Size effect in model concretes?", J. Struct. Div., ASCE, 106, 1007-1020.
  27. Schlangen, E. (1993), "Experimental and numerical analysis of fracture processes in concrete", Ph.D. Thesis. Delft University of Technology, The Netherlands.
  28. Stankowsky, T. (1990), "Numerical simulation of progressive failure in particle composites", Ph.D Thesis, University of Colorado, USA.
  29. van Mier, J.G.M. (1997), Fracture Processes of Concrete Assessment of Material Parameters for Fracture Models, CRC Press, New York.
  30. Vonk, R.A., Rutten, H.S., Van Mier, J.G.M. and Fijneman, H.J. (1991) "Micromechanical simulation of concrete softening", Proc. 'Fracture Processes in Concrete, Rock and Ceramics Congress, Noordwijk, June.
  31. Walraven, J.C. (1980), "Aggregate interlock: a theoretical and experimental analysis", Ph.D. thesis, Delft University of Technology, The Netherlands.
  32. Wang, J., Navi, P. and Huet, C. (1992), "Numerical study of granule influences on the crack propagation in concrete", Proc. '1st Congress on Fracture of Concrete Structures, Breckenridge, June.
  33. Wang, Z.M., Kwan, A.K.H. and Chan, H.C. (1999), "Mesoscopic study of concrete I: generation of random aggregate structure and finite element mesh", Comput. Struct., 70, 533-544. https://doi.org/10.1016/S0045-7949(98)00177-1
  34. Wittmann, F.H. (1983), "Structure of concrete with respect to crack formation", Fracture Mechanics of Concrete, (Report of RILEM FMA-50), Ed. Wittmann, F.H., Elsevier, Amsterdam.

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