Computers and Concrete

  • 제7권5호
  • /
  • Pages.469-482
  • /
  • 2010
  • /
  • 1598-8198(pISSN)
  • /
  • 1598-818X(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Numerical and statistical analysis of permeability of concrete as a random heterogeneous composite

  • Zhou, Chunsheng (Key Laboratory of Structural Engineering and Vibration of China Education Ministry, Civil Engineering Department, Tsinghua University) ;
  • Li, Kefei (Key Laboratory of Structural Engineering and Vibration of China Education Ministry, Civil Engineering Department, Tsinghua University)
  • 투고 : 2009.10.24
  • 심사 : 2010.04.02
  • 발행 : 2010.10.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper investigates the concrete permeability through a numerical and statistical approach. Concrete is considered as a random heterogeneous composite of three phases: aggregates, interfacial transition zones (ITZ) and matrix. The paper begins with some classical bound and estimate theories applied to concrete permeability and the influence of ITZ on these bound and estimate values is discussed. Numerical samples for permeability analysis are established through random aggregate structure (RAS) scheme, each numerical sample containing randomly distributed aggregates coated with ITZ and dispersed in a homogeneous matrix. The volumetric fraction of aggregates is fixed and the size distribution of aggregates observes Fuller's curve. Then finite element method is used to solve the steady permeation problem on 2D numerical samples and the overall permeability is deduced from flux-pressure relation. The impact of ITZ on overall permeability is analyzed in terms of ITZ width and contrast ratio between ITZ and matrix permeabilities. Hereafter, 3680 samples are generated for 23 sample sizes and 4 contrast ratios, and statistical analysis is performed on the permeability dispersion in terms of sample size and ITZ characteristics. By sample theory, the size of representative volume element (RVE) for permeability is then quantified considering sample realization number and expected error. Concluding remarks are provided for the impact of ITZ on concrete permeability and its statistical characteristics.

키워드

참고문헌

  1. AFGC (French Association of Civil Engineering) (2007), Concrete design for a given structure service life, State-of-the-art and guide for the implementation of a predictive performance approach based upon durability indicators, AFGC Scientific and Technical Documents, Paris.
  2. Bentz, D.P. and Garboczi, E.J. (1991), "Percolation of phases in a three-dimensional cement paste microstructural model", Cement Concrete Res., 21(2), 325-344. https://doi.org/10.1016/0008-8846(91)90014-9
  3. Bourdette, B., Ringot, E. and Ollivier, J.P. (1995), "Modelling of the transition zone porosity", Cement Concrete Res., 25(4), 741-751. https://doi.org/10.1016/0008-8846(95)00064-J
  4. Bruggeman, D.A.G. (1935), "Calculation of various constants in heterogeneous substances. I. Dielectric constants and conductivity of composites from isotropic substances", Ann. Phys., 24, 636-679. (in German)
  5. Delagrave, A., Bigas, J.P., Ollivier, J.P., Marchand, J. and Pigeon, M. (1997), "Influence of the interfacial zone on the chloride diffusivity of mortars", Adv. Cement Base. Mater., 5(3), 86-92. https://doi.org/10.1016/S1065-7355(96)00008-9
  6. Drugan, W.J. and Willis, J.R. (1996), "A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites", J. Mech. Phys. Solids, 44(4), 497-524. https://doi.org/10.1016/0022-5096(96)00007-5
  7. El-Dieb, A.S. and Hooton, R.D. (1995), "Water permeability measurement of high performance concrete using high-pressure triaxial cell", Cement Concrete Res., 25(6), 1199-1208. https://doi.org/10.1016/0008-8846(95)00112-P
  8. Garboczi, E.J., Schwartz, L.M. and Bentz, D.P. (1995), "Modeling the influence of the interfacial zone on the DC electrical conductivity of mortar", Adv. Cement Base. Mater., 2(5),169-181. https://doi.org/10.1016/1065-7355(95)90001-2
  9. Gitman, I.M., Askes, H. and Sluys, L.J. (2007), "Representative volume: existence and size determination", Eng. Fract. Mech., 74(16), 2518-2534. https://doi.org/10.1016/j.engfracmech.2006.12.021
  10. Graham, S. and Yang, N. (2002), "Representative volumes of materials based on microstructural statistics", Scripta Mater., 48(3), 269-274.
  11. Hashin, Z. and Shtrikman S. (1962), "A variational approach to the theory of the effective magnetic permeability of multiphase materials", J. Appl. Phys., 33, 3125-3131. https://doi.org/10.1063/1.1728579
  12. Hashin, Z. (1983), "Analysis of composite materials-a survey", J. Appl. Mech., 50, 481-505. https://doi.org/10.1115/1.3167081
  13. Hu, J. and Stroeven P. (2004), "Properties of the interfacial transition zone in model concrete", Interface Sci., 12(4), 389-397. https://doi.org/10.1023/B:INTS.0000042337.39900.fb
  14. Kanit, T., Forest, S., Galliet, I., Mounoury, V. and Jeulin, D. (2003), "Determination of the size of the representative volume element for random composites: statistical and numerical approach", Int. J. Solids Struct., 40(13), 3647-3679.
  15. Kollek, J.J. (1989), "The determination of the permeability of concrete to oxygen by the Cembureau method - a recommendation", Mater. Struct., 22, 225-230. https://doi.org/10.1007/BF02472192
  16. Lantuejoul, C. (1991), "Ergodicity and integral range", J. Microscopy, 161, 387-403. https://doi.org/10.1111/j.1365-2818.1991.tb03099.x
  17. Maekawa. K., Ishida, T. and Kishi, T. (2009), Multi-scale modeling of structural concrete, Taylor & Francis, London and New York.
  18. Milton, G.W. (2002), The theory of composites, Cambridge University Press, Cambridge, UK.
  19. Nemati, K.M., Monteiro, P.J.M. and Scrivener, K.L. (1998), "Analysis of compressive stress-induced cracks in concrete", ACI Mater. J., 95(5), 617-630.
  20. Nemati, K.M. and Gardoni, P. (2005), "Microstructural and statistical evaluation of interfacial zone percolation in concrete", Strength, Fracture Complexity, 3(2), 191-197.
  21. Ollivier, J.P., Maso, J.C. and Bourdette, B. (1995), "Interfacial transition zone in concrete", Adv. Cement Base. Mater., 2(1), 30-38. https://doi.org/10.1016/1065-7355(95)90037-3
  22. Pelissou, C., Baccou, J., Monerie, Y. and Perales, F. (2009), "Determination of the size of the representative volume element for random quasi-brittle composites", Int. J. Solids Struct., 46(14), 2842-2855. https://doi.org/10.1016/j.ijsolstr.2009.03.015
  23. Powers, T.C. (1958), "Structure and physical properties of hardened portland cement paste", J. Am. Ceram. Soc., 41(1), 1-6.
  24. Reinhardt, H.W.(ed.) (1997), Penetration and permeability of concrete: barriers to organic and contaminating liquids, RILEM Report 16, E&FN Spon, London.
  25. Schwartz, L.M., Garboczi, E.J. and Bentz, D.P. (1995), "Interfacial transport in porous media: application to dc electrical conductivity of mortars", J. Appl. Phys., 78(10), 5898-5908. https://doi.org/10.1063/1.360591
  26. Scrivener, K.L. and Gartner, E.M. (1988), "Microstructural gradient in cement paste around aggregate particles", Mater. Res. Soc. Symp. Proc., 114, 77-85.
  27. Scrivener, K.L. (2004), "Backscattered electron imaging of cementitious microstructures: understanding and quantification", Cement Concrete Comp., 26(8), 935-945. https://doi.org/10.1016/j.cemconcomp.2004.02.029
  28. Snyder, K.A., Winslow, D.N., Bentz, D.P. and Garboczi, E.J. (1992), "Effects of interfacial zone percolation on cement based composite transport properties", Materials Research Society Symposium Proceedings, Advanced Cement Based Systems: Mechanisms and Properties, 245, 265-270.
  29. van Mier, J.G.M. (1997), Fracture processes of concrete, CRC Press, US.
  30. 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(5), 533-544. https://doi.org/10.1016/S0045-7949(98)00177-1
  31. Wiener, O. (1912), "The theory of composites for the field of steady flow. First treatment of mean value estimates for force, polarization and energy", Abhandlungen der mathematischphysischen Klasse der Koniglich Gesellschaft der Wissenschaften, 32, 509-604. (in German)
  32. Yang, C.C. and Su, J.K. (2002), "Approximate migration coefficient of interfacial transition zone and the effect of aggregate content on the migration coefficient of mortar", Cement Concrete Res., 32(10), 1559-1565. https://doi.org/10.1016/S0008-8846(02)00832-3

피인용 문헌

  1. An experimental and numerical study on water permeability of concrete vol.105, 2016, https://doi.org/10.1016/j.conbuildmat.2015.12.184
  2. Modeling the three-dimensional unsaturated water transport in concrete at the mesoscale vol.190, 2017, https://doi.org/10.1016/j.compstruc.2017.05.005
  3. Computational homogenization of effective permeability in three-phase mesoscale concrete vol.121, 2016, https://doi.org/10.1016/j.conbuildmat.2016.05.141
  4. Effect of polyolefin fibers on the permeability of cement-based composites vol.9, pp.6, 2012, https://doi.org/10.12989/cac.2012.9.6.457
  5. A Probabilistic Study on Hydraulic Conductivity of Concrete at Mesoscale pp.0889-325X, 2018, https://doi.org/10.14359/51706938
  6. Influence of Temperature on the Moisture Transport in Concrete vol.11, pp.1, 2010, https://doi.org/10.3390/cryst11010008
  7. Modeling of the tension stiffening behavior and the water permeability change of steel bar reinforcing concrete using mesoscopic and macroscopic hydro-mechanical lattice model vol.291, pp.None, 2010, https://doi.org/10.1016/j.conbuildmat.2021.123266