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6. References

[1] D.P. Bentz, E.J. Garboczi, and E.S. Lagergren, "Multi-scale microstructural modelling of concrete diffusivity: Identification of significant variables," Cement, Concrete, and Aggregates 20, 129-139 (1998).

[2] E.J. Garboczi and D.P. Bentz, "Multiscale analytical/numerical theory of the diffusivity of concrete," Adv. Cem.-Based Mater. 8, 77-88 (1998).

[3] D.P. Bentz and E.J. Garboczi, "Percolation of phases in a three-dimensional cement paste microstructural model," Cem. Conc. Res. 21, 325-344 (1991).

[4] E.J. Garboczi and D.P. Bentz, "The microstructure of cement-based materials: Computer simulation and percolation theory," in Computational and Mathematical Models of Microstructural Evolution, edited by J.W. Bullard, L.-Q. Chen, R.K. Kalia, and A.M. Stoneham (Materials Research Society, Pittsburgh, 1998), 89-100.

[5] D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor and Francis, London 1994).

[6] S. Torquato, "Random heterogeneous media: Microstructure and improved bounds on effective properties," Appl. Mech. Rev. 44, 37-76 (1991).

[7] S. Torquato, Theory of Composite Materials (Oxford, London, 2001), in press.

[8] Z. Hashin, "Analysis of composite materials−a survey," J. Appl. Mech. 50, 481-505 (1983).

[9] E.J. Garboczi and D.P. Bentz, "Computer simulation of the diffusivity of cement-based materials," J. Mater. Sci. 27, 2083-2092 (1992).

[10] P. Halamickova, R.J. Detwiler, D.P. Bentz, and E.J. Garboczi, "Water permeability and chloride diffusion in portland cement mortars: Relationship to sand content and critical pore diameter," Cem. Conc. Res. 25, 790-802 (1995).

[11] E.J. Garboczi and D.P. Bentz, "Fundamental computer simulation models for cement-based materials" in Materials Science of Concrete II, edited by J. Skalny and S. Mindess (American Ceramic Society, Westerville, Ohio, 1991), 249-277.

[12] Excitations in Disordered Systems, Proceedings of the NATO Advanced Study Institute, edited by M.F. Thorpe (Plenum, New York, 1982).

[13] R. Zallen, The Physics of Amorphous Solids (Wiley and Sons, New York, 1983).

[14] P.E. Roelfstra, H. Sadouki, and F.H. Wittmann, "Le béton numerique," Mater. Struct. 18, 327-35 (1985).

[15] F.H. Wittmann, P.E. Roelfstra, and H. Sadouki, "Simulation and analysis of composite structures," Mater. Sci. Eng. 68, 239-48 (1984).

[16] H.M. Jennings and S.K. Johnson, "Simulation of microstructure development during the hydration of a cement compound," J. Amer. Ceram. Soc. 69, 790-95 (1986).

[17] Private communication, H.M. Jennings to E.J. Garboczi (1991).

[18] P. Navi and C. Pignat, "Simulation of cement hydration and the connectivity of the capillary pore space," Adv. Cem.-Based Mater. 4, 58-67 (1996).

[19] L.M. Schwartz and J.R. Banavar, "Transport properties of disordered continuum systems," Phys. Rev. B 39, 11965-69 (1989). This turned out to be actually a re-discovery of an earlier result: G.W. King, "Monte-Carlo method for solving diffusion problems," Ind. Eng. Chem. 43, 2475 (1951).

[20] E.J. Garboczi, M.F. Thorpe, M. DeVries, and A.R. Day, "Universal conductivity curve for a plane containing random holes," Phys. Rev. A 43, 6473-6482 (1991).

[21] A.R. Day, K.A. Snyder, E.J. Garboczi, and M.F. Thorpe, "The elastic moduli of a sheet containing circular holes," J. Mech. Phys. Solids 40, 1031-1051 (1992).

[22] K.A. Snyder, E.J. Garboczi, and A.R. Day, "The elastic moduli of random two-dimensional composites: Computer simulation and effective medium theory," J. Appl. Phys. 72, 5948-5955 (1992).

[23] E.J. Garboczi and A.R. Day, "An algorithm for computing the effective linear elastic properties of heterogeneous materials: 3-D results for composites with equal phase Poisson ratios," J. Mech. Phys. of Solids 43, 1349-1362 (1995).

[24] "An electronic monograph: Modelling and measuring the structure and properties of cement-based materials,"

[25] E.J. Garboczi, D.P. Bentz, and N.S. Martys, "Digital images and computer modelling," in Methods in the Physics of Porous Media, edited by Po-zen Wong (Academic Press, San Diego, 1999), 1-41.

[26] M. Joshi, "A class of stochastic models for porous media," Ph.D. thesis, Univ. of Kansas (1979).

[27] D.P. Bentz, "Three-dimensional computer simulation of portland cement hydration and microstructure development," J. Amer. Ceram. Soc. 80, 3-21 (1997).

[28] Monograph, Appendix I-2.

[29] Monograph, see button Available modeling programs.

[30] D.P. Bentz, E.J. Garboczi, and D.A. Quenard, " Modelling drying shrinkage in reconstructed porous materials: Application to porous Vycor glass," Mod. and Sim. in Mater. Sci. and Eng. 6, 211-236 (1998).

[31] http://ciks.cbt.nist.gov/~bentz/phpct/database/images/.

[32] P. Yu, R.J. Kirkpatrick, B. Poe, P. McMillan, and X.-D.Cong, "Structure of calcium silicate hydrate (C-S-H): near-, mid- and far-infrared spectroscopy," J. Am. Ceram. Soc., 82, 742 (1999).

[33] A.G. Kalinichev, R.J. Kirkpatrick, and R.T. Cygan, "Molecular modeling of the structure and dynamics of the interlayer and surface species of mixed-metal layered hydroxides: chloride and water in hydrocalumite (Friedel´s salt)," Amer. Mineral., in press (2000).

[34] R.T. Coverdale, E.J. Garboczi, H.M. Jennings, B. Christensen, and T.O. Mason, "Computer simulation of AC impedance spectroscopy in 2-D: Application to cement paste," Journal of the American Ceramic Society 76, pp. 1153-1160 (1993).

[35] R.T. Coverdale, E.J. Garboczi, and H.M. Jennings, "An Improved Model for Simulating Impedance Spectroscopy," Computational Materials Science 3, 465-474 (1995).

[36] R.T. Coverdale, B.J. Christensen, T.O. Mason, H.M. Jennings, E.J. Garboczi, and D.P. Bentz, "Interpretation of the Impedance Spectroscopy of Cement Paste via Computer Modelling I: Bulk Conductivity and Offset Resistance", Journal of Materials Science 30, 712-719 (1995).

[37] R.T. Coverdale, B.J. Christensen, T.O. Mason, H.M. Jennings, E.J. Garboczi, "Interpretation of the Impedance Spectroscopy of Cement Paste via Computer Modelling II: Dielectric Response", Journal of Materials Science 29, 4984-4992 (1994).

[39] B.J. Christensen, T.O. Mason, R.T. Coverdale, H.M. Jennings, R.A. Olsen, and E.J. Garboczi, "Impedance Spectroscopy and the Electrical Properties of Hydrating Cement-Based Materials: A Review," Journal of the American Ceramic Society 77(11), 2789-2804 (1994).

[40] S.J. Ford, T.O. Mason, B.J. Christensen, R.T. Coverdale, H.M. Jennings, and E.J. Garboczi, "Electrode configurations and impedance spectra of cement pastes," Journal of Materials Science 30, 1217-1224 (1995).

[41] R.A. Olson, B.J. Christensen, R.T. Coverdale, S.J. Ford, G.M. Moss, H.M. Jennings, T.O. Mason, and E.J. Garboczi, "Interpretation of the Impedance Spectroscopy of Cement Paste via Computer Modelling III: Microstructural analysis of frozen cement paste," Journal of Materials Science 30, 5078-5086 (1995).

[42] G. Hsieh, T.O. Mason, E.J. Garboczi, and L.R. Pederson, "Experimental limitations in impedance spectroscopy: Part III--Effect of reference electrode position", Solid State Ionics 96, 153-172 (1997).

[43] J.J. Hwang, K.S. Kirkpatrick, T.O. Mason, and E.J. Garboczi, "Experimental limitations in impedance spectroscopy: Part IV. Electrode contact effects." Solid State Ionics 98, 93-104 (1997).

[44] J.D. Shane, T.O. Mason, H.M. Jennings, E.J. Garboczi, and D.P. Bentz, "Effect of the interfacial transition zone on the conductivity of portland cement mortars," Journal of the American Ceramic Society, 83, 1137-1144, (2000).

[45] J.M. Torrents, T.O. Mason, and E.J. Garboczi, "Impedance spectra of fiber-reinforced cement-based composites: A modelling approach," Cem. Conc. Res., 30, 585-592, (2000).

[46] J.M. Torrents, T.O. Mason, A. Peled, S.P. Shah, and E.J. Garboczi, "Analysis of the impedance spectra of short conductive fiber composites," J. Mater. Sci. 36 (16), 4003-4012,(2001).


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