Bibliography

1

D.P. Bentz, E.J. Garboczi, and P.A. Stutzman, "Computer modelling of the interfacial transition zone in concrete," in Interfaces in Cementitious Composites, edited by J.C. Maso, (E. and F.N. Spon, London, 1993), pp. 259-268.

2

K.L. Scrivener, The Microstructure of Concrete, in Materials Science of Concrete Vol. I, edited by J. Skalny (American Ceramic Society, Westerville, OH, 1989), pp. 127-162.

3

E.J. Garboczi and D.P. Bentz, "Digital simulation of the aggregate-cement paste interfacial zone in concrete," J. Mater. Res. 6, 196-201 (1991).

4

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).

5

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

6

Z. Hashin, Analysis of composite materials: A survey, J. Appl. Mech. 50, 481-505 (1983).

7

J. Dvorkin, J.G. Berryman, and A. Nur, Elastic moduli of cemented sphere packs, Mech. Mater. 31, 461-469 (1999).

8

E.J. Garboczi and J.G. Berryman, "Elastic moduli of a material containing composite inclusions: Effective medium theory and finite element compuations," Mechanics of Materials, 33, 455-470, (2001).

9

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," J. Amer. Ceram. Soc., 83, 1137-1144 (2000).

10

D.P. Bentz, P.A. Stutzman, and E.J. Garboczi, "Experimental and simulation studies of the interfacial zone in concrete," Cem. Conc. Res. 22, 891-902 (1992).

11

E.J. Garboczi and D.P. Bentz, "Analytical formulas for interfacial transition zone properties," Advanced Cement-Based Materials 6, 99-108 (1997).

12

E. Herve and A. Zaoui, n-Layered inclusion-based micormechanical modellilng, Int. J. Eng. Sci. 31, 1-10 (1993).

13

P.L. Iske, N.K.J. Sterk, J. Oortwijn, Effective elastic properties of suspensions of radially symmertic particles, Physica A 209, 96-128 (1994).

14

M.P. Lutz and P.J.M. Monteiro, Effect of the transition zone on the bulk modulus of concrete, in Microstructure of Cement-Based Systems/Bonding and Interfaces in Cementitious Materials Vol. 370, edited by S. Diamond, S. Mindess, F.P. Glasser, L.W. Roberts, J.P. Skalny, and L.D. Wakeley (Materials Research Society, Pittsburgh, 1995), pp. 413-418.

15

E.J. Garboczi and D.P. Bentz, "Multi-scale analytical/numerical theory of the diffusivity of concrete," Advanced Cement-Based Materials 8, 77-88 (1998).

16

D.P. Bentz, "Influence of silica fume on diffusivity in cement-based materials. II. Multi-scale modelling of concrete diffusivity," Cem. Conc. Res. 30, 1121-1129, (2000).

17

L.M. Schwartz, E.J. Garboczi, and D.P. Bentz, "Interfacial transport in porous media: Application to D.C. electrical conductivity of mortars," Journal of Applied Physics 78, 5898-5908 (1995). Note misprint in eq. 3.1. The corrected form is given here as eq. (8).

18

J.G. Berryman, Mixture Theories for Rock Properties, in Rock Physics and Phase Relations-A Handbook of Physical Constants, edited by T.J. Ahrens (American Geophysical Union, Washington DC, 1995), pp. 205-228.

19

R. McLaughlin, A study of the differential scheme for composite materials, Int. J. Eng. Sci. 15, 237-244 (1977).

20

W. Xia and M.F. Thorpe, Percolation properties of random ellipses, Phys. Rev. A 38, 2650 (1988).

21

D.N. Winslow, M.D. Cohen, D.P. Bentz, K.A. Snyder, and E.J. Garboczi, "Percolation and porosity in mortars and concretes," Cem. Conc. Res. 24, 25-37 (1994).

22

D.P. Bentz, E.J. Garboczi, and K.A. Snyder, "A hard-core soft shell microstructural model for studying percolation and transport in three-dimensional composite media," NIST Internal Report 6265 (1999).

23

K.L. Scrivener and K.M. Nemati, The percolation of pore space in the cement paste/aggregate interfacial zone of concrete, Cem. Conc. Res. 26, 35-40 (1996).

24

E.J. Garboczi, K.A. Snyder, J.F. Douglas, and M.F. Thorpe, "Geometrical percolation threshold of overlapping ellipsoids," Phys. Rev. E 52, 819-828 (1995).

25

J.F. Douglas and E.J. Garboczi, "Intrinsic viscosity and polarizability of particles having a wide range of shapes," Adv. Chem. Phys. 91, 85-153 (1995).

26

E.J. Garboczi, D.P. Bentz, and L.M. Schwartz, "Modelling the influence of the interfacial zone on the D.C. electrical conductivity of mortar," Advanced Cement-Based Materials 2, 169-181 (1995).

27

E.J. Garboczi, "Finite element and finite difference programs for computing the linear electric and elastic properties of digital images of random materials," NIST Internal Report 6269 (1998).

28

http://ciks.cbt.nist.gov/garboczi/, Chapter 7, Section 4a.

29

Private communication, D.P. Bentz.

30

Annual Book of ASTM Standards, Concrete and Aggregates, Vol. 04.02 (American Society for Testing and Materials, West Conshocken, PA, 1995), see C33 standard.