1 |
Bazant, Z.P., Tabbara, M.R., Kazemi, M.T. and Pijaudiercabot, G. (1990), "Random particle model for fracture of aggregate or fiber composites", J. Eng. Mech., 116(8), 1686-1705.
DOI
|
2 |
Bentz, D.P. (2000), "Fibers, percolation, and spalling of highperformance concrete", ACI Mater. J., 97(3), 351-359.
|
3 |
Bentz, D.P., Hwang, J.T.G., Hagwood, C., Garboczi, E.J., Snyder, K.A. and Scrivener, N.B.K.L. (1994), "Interfacial zone percolation in concrete: Effects of interfacial zone thickness and aggregate shape", Mrs Proc., 370, https://doi.org/10.1557/PROC-370-437.
DOI
|
4 |
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 Bas. Mater., 5(3-4), 86-92.
DOI
|
5 |
Diamond, S. (2003), "Percolation due to overlapping ITZs in laboratory mortars? A microstructural evaluation", Cement Concrete Res., 33(7), 949-955.
DOI
|
6 |
Dijkstra, E.W. (1959), "A note on two problems in connexion with graphs", Numerische Mathematik, 1(1), 269-271.
DOI
|
7 |
King, C.Y. (2008), "Collision detection for ellipsoids and other quadrics", PhD, University of Hong Kong, Hong Kong.
|
8 |
Erdogan, S.T. (2005), "Determination of aggregate shape properties using X-ray tomographic methods and the effect of shape on concrete rheology", PhD, The University of Texas at Austin, Austin, US.
|
9 |
Garboczi, E.J., Snyder, K.A., Douglas, J.F. and Thorpe, M.F. (1995), "Geometrical percolation threshold of overlapping ellipsoids", Phys. Rev. E Statist. Phys. Plasmas Fluid. Relat. Interdisc. Top., 52(1), 819-828.
DOI
|
10 |
Hafner, S., Eckardt, S., Luther, T. and Konke, C. (2006), "Mesoscale modeling of concrete: Geometry and numerics", Comput. Struct., 84(7), 450-461.
DOI
|
11 |
Lee, K.M. and Park, J.H. (2008), "A numerical model for elastic modulus of concrete considering interfacial transition zone", Cement Concrete Res., 38(3), 396-402.
DOI
|
12 |
Liao, K.Y., Chang, P.K., Peng, Y.N. and Yang, C.C. (2004), "A study on characteristics of interfacial transition zone in concrete", Cement Concrete Res., 34(6), 977-989.
DOI
|
13 |
Leite, J.P.B., Slowik, V. and Mihashi, H. (2004), "Computer simulation of fracture processes of concrete using mesolevel models of lattice structures", Cement Concrete Res., 34(6), 1025-1033.
DOI
|
14 |
Li, J. (2013), "Percolation thresholds of two-dimensional continuum systems of rectangles", Phys. Rev. E Statist. Nonlin. Soft Mat. Phys., 88(1), 012101.
DOI
|
15 |
Li, J. and O stling, M. (2016), "Precise percolation thresholds of two-dimensional random systems comprising overlapping ellipses", Physica A Statist. Mech. Its Appl., 462, 940-950.
DOI
|
16 |
Lutz, M.P., Monteiro, P.J.M. and Zimmerman, R.W. (1997), "Inhomogeneous interfacial transition zone model for the bulk modulus of mortar", Cement Concrete Res., 27(7), 1113-1122.
DOI
|
17 |
Prokopski, G. and Halbiniak, J. (2000), "Interfacial transition zone in cementitious materials", Cement Concrete Res., 30(4), 579-583.
DOI
|
18 |
Ollivier, J.P., Maso, J.C. and Bourdette, B. (1995), "Interfacial transition zone in concrete", Adv. Cement Bas. Mater., 2(1), 30-38.
DOI
|
19 |
Pan, Z., Ruan, X. and Chen, A. (2014), "Chloride diffusivity of concrete: probabilistic characteristics at meso-scale", Comput. Concrete, 13(2), 187-207.
DOI
|
20 |
Pan, Z., Ruan, X. and Chen, A. (2015), "A 2-D numerical research on spatial variability of concrete carbonation depth at mesoscale", Comput. Concrete, 15(2), 231-257.
DOI
|
21 |
Qian, Z. (2012), "Multiscale modeling of fracture processes in cementitious materials", PhD, Delft University of Technology, Delft, The Netherlands.
|
22 |
Samet, H. and Tamminen, M. (1988), "Efficient component labeling of images of arbitrary dimension represented by linear bintrees", IEEE Tran. Pat. Anal. Mach. Intel., 10(4), 579-586.
DOI
|
23 |
Quintanilla, J.A. and Ziff, R.M. (2007), "Asymmetry in the percolation thresholds of fully penetrable disks with two different radii", Phys. Rev. E Statist. Nonlin. Soft Mat. Phys., 76(5), 051115.
DOI
|
24 |
Rintoul, M.D. and Torquato, S. (1997), "Precise determination of the critical threshold and exponents in a three-dimensional continuum percolation model", J. Phys. A: Math. Gen., 30(16), L585.
DOI
|
25 |
Rypl, D. and Bym, T. (2012), "Geometrical modeling of concrete microstructure for the assessment of ITZ percolation", Acta Polytechnica, 52(6), 1-15.
|
26 |
Savija, B., Pacheco, J. and Schlangen, E. (2013), "Lattice modeling of chloride diffusion in sound and cracked concrete", Cement Concrete Compos., 42, 30-40.
DOI
|
27 |
Scrivener, K.L. and Nemati, K.M. (1996), "The percolation of pore space in the cement paste/aggregate interfacial zone of concrete", Cement Concrete Res., 26(1), 35-40.
DOI
|
28 |
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.
DOI
|
29 |
Shane, J.D., Mason, T.O., Jennings, H.M., Garboczi, E.J. and Bentz, D.P. (2000), "Effect of the interfacial transition zone on the conductivity of Portland cement mortars", J. Am. Ceram. Soc., 83(5), 1137-1144.
DOI
|
30 |
Wang, W.P., Wang, J.Y. and Kim, M.S. (2001), "An algebraic condition for the separation of two ellipsoids", Comput. Aid. Geometric Des., 18(6), 531-539.
DOI
|
31 |
Xia, W. and Thorpe, M.F. (1988), "Percolation properties of random ellipses", Phys. Rev. A, 38(5), 2650-2656.
DOI
|
32 |
Winslow, D.N., Cohen, M.D., Bentz, D.P., Snyder, K.A. and Garboczi, E.J. (1994), "Percolation and pore structure in mortars and concrete", Cement Concrete Res., 24(1), 25-37.
DOI
|
33 |
Wong, H.S. and Buenfel, N.R. (2006), "Patch microstructure in cement-based materials: Fact or artefact?", Cement Concrete Res., 36, 990.
DOI
|
34 |
Wu, K., Xu, L., Schutter, G.D., Shi, H. and Ye, G. (2015), "Influence of the interfacial transition zone and interconnection on chloride migration of portland cement mortar", J. Adv. Concr. Technol., 13(3), 169-177.
DOI
|
35 |
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.
DOI
|
36 |
Yang, R., Gui, Q., Lemarchand, E., Fen-Chong, T. and Li, K. (2015), "Micromechanical modeling of transport properties of cement-based composites: Role of interfacial transition zone and air voids", Tran. Porous Media, 110(3), 591-611.
DOI
|
37 |
Ye, G. (2005), "Percolation of capillary pores in hardening cement pastes", Cement Concrete Res., 35(1), 167-176.
DOI
|
38 |
Zheng, X. and Palffy-Muhoray, P. (2007), "Distance of closest approach of two arbitrary hard ellipses in two dimensions", Phys. Rev. E Stat. Nonlin. Soft Mat. Phys., 75(6), 061709.
DOI
|
39 |
Zheng, J. and Zhou, X. (2007), "Percolation of ITZs in concrete and effects of attributing factors", J. Mater. Civil Eng., 19(9), 784-790.
DOI
|
40 |
Zheng, X., Iglesias, W. and Palffy-Muhoray, P. (2009), "Distance of closest approach of two arbitrary hard ellipsoids", Phys. Rev. E Stat. Nonlin. Soft Matt. Phys., 79(5), 057702.
DOI
|