Up: Main
Previous: Acknowledgements
References
- 1
-
H.L. Kennedy,
The function of entrained air in concrete,
J. Am. Concr. Inst. 14,
529--542 (1943).
- 2
-
T.C. Powers,
The air requirement of frost-resistant concrete,
Proc. Highway Res. Board 29,
184--202 (1949).
- 3
-
American Society for Testing and Materials,
Standard Test Method for Microscopical Determination of Parameters
of the Air-Void System in Hardened Concrete,
Designation: C 457 - 90,
Philadelphia, PA, 1995.
- 4
-
R.E. Philleo,
A method for analyzing void distribution in air-entrained concrete,
Cem. Concr. Aggregates 5,
128--130 (1983).
- 5
-
E.K. Attiogbe,
Mean spacing of air voids in hardened concrete,
ACI Mater. J. 90,
174--181 (1993).
- 6
-
R. Pleau and M. Pigeon,
The use of the flow length concept to assess the
efficiency of air entrainment with regards to frost
durability: Part -
Description of the test
method,
Cem. Concr. Aggregates 18,
19--29 (1996).
- 7
-
R. Pleau, M. Pigeon, J.L. Laurencot, and R. Gagné,
The use of the flow length concept to assess the
efficiency of air entrainment with regards to frost
durability: Part -
Experimental results,
Cem. Concr. Aggregates 18,
30--41 (1996).
- 8
-
E.K. Attiogbe,
Predicting freeze-thaw durability of concrete -
A new approach,
ACI Mater. J. 93,
457--464 (1996).
- 9
-
J.J. Filliben,
DATAPLOT: Introduction and Overview,
NBS Special Publication 667,
National Institute of Standards and Technology,
Gaithersburg, MD (1984).
- 10
-
C.F. Gerald and P.O. Wheatley,
Applied Numerical Analysis (Third Edition),
Addison-Wesley, Reading (1984).
- 11
-
T.D. Larson, P.D. Cady, and J.J. Malloy,
The protected paste volume concept using new air-void
measurement and distribution techniques,
J. Mater. 2,
202--224 (1967).
- 12
-
K. Natesaiyer, K.C. Hover, and K.A. Snyder,
Protected-paste volume of air-entrained cement paste.
Part ,
J. Mater. Civ. Eng. 4,
166--184 (1992).
- 13
-
K. Natesaiyer, K.C. Hover, and K.A. Snyder,
Protected-paste volume of air-entrained cement paste.
Part ,
J. Mater. Civ. Eng. 5,
170--186 (1993).
- 14
-
S. Diamond, S. Mindess, and J. Lovell,
On the spacing between aggregate grains in concrete and the dimension
of the aureole de transition, in
International RILEM Colloquium (Toulouse),
Liaisons Pâtes de Ciment/Matériaux Associés,
RILEM (1982) C42--C46.
- 15
-
E.E. Underwood,
Quantitative Stereology,
Addison-Wesley, Reading (1970).
- 16
-
P.L. Meyer,
Introductory Probability and Statistical Applications
(2nd Edition),
Addison-Wesley, Reading (1970).
- 17
-
J. Marchand, R. Pleau, and R. Gagné,
Deterioration of concrete due to freezing and thawing,
Materials Science of Concrete
, J. Skalny and
S. Mindess, eds., The American Ceramic Society,
Westerville, OH, (1995) 283--354.
- 18
-
P. Hertz,
Über den gegenseitigen durchschnittlichen Abstand von
Punkten, die mit bekannter mittlerer Dichte im
Raume angeordnet sind,
Math. Ann. 67,
387--398 (1909).
- 19
-
K. Natesaiyer, M. Simon, and K. Snyder,
Discussion of, `Mean spacing of air voids in hardened
concrete',
ACI Mater. J. 91,
123--124 (1994).
- 20
-
M. Abramowitz and I. A. Stegun,
Handbook of Mathematical Functions,
Dover Publications, New York (1972).
- 21
-
E. K. Attogbe,
Volume fraction of protected paste and mean spacing of air
voids,
ACI Mater. J. 94,
588--591 (1997).
- 22
-
G. Arfken,
Mathematical Methods For Physicists,
Academic Press, New York (1970).
- 23
-
K.A. Snyder,
Discussion of `The use of the flow length concept to assess
the efficiency of air entrainment with regards to frost
durability: Part --
Description of the test method',
Cem. Concr. Aggregates 19,
116--119 (1997).
- 24
-
K.A. Snyder, D.N. Winslow, D.P. Bentz, and E.J. Garboczi,
Effects of interfacial zone percolation on cement-based composite
transport properties, in Proceedings of the MRS,
Vol. 245,
Advanced Cementitious Systems: Mechanisms and Properties,
Materials Research Society, Pittsburgh (1992) 265--270.
- 25
-
K.A. Snyder, D.N. Winslow, D.P. Bentz, and E.J. Garboczi,
Interfacial zone percolation in cement-aggregate composites,
in Proceedings of the RILEM International Conference (Toulouse),
Proceedings 18,
Interfaces in Cementitious Composites,
J.C. Maso, ed.,
E&FN Spon, London (1992) 259--268.
- 26
-
D.N. Winslow, M.D. Cohen, D.P. Bentz, K.A. Snyder, and E.J. Garboczi,
Percolation and pore structure in mortars and concrete,
Cem. Concr. Res. 24,
25--37 (1994).
- 27
-
D.P. Bentz, J.T.G. Hwang, C. Hagwood, E.J. Garboczi, K.A. Snyder,
N. Buenfeld, and K.L. Scrivener,
Interfacial zone percolation in concrete: Effects of interfacial zone
thickness and aggregate shape, in Proceedings of the MRS,
Vol. 370,
Microstructure of Cement-Based Systems:
Bonding and Interfaces in Cementitious Materials,
S. Diamond, S. Mindess, F. P. Glasser, L. W. Roberts, J. P. Skalny,
and L. D. Wakele, eds.,
Materials Research Society, Pittsburgh (1994) 437--442.
- 28
-
E.J. Garboczi and D.P. Bentz,
Analytical formulas for interfacial transition zone properties,
Adv. Cem. Based Mater. 6,
99--108 (1997).
- 29
-
E.J. Garboczi and D.P. Bentz,
Multi-scale analytical/numerical theory of the diffusivity of
concrete,
Adv. Cem. Based Mater 8, 77-88 (1998).
- 30
-
S.B. Lee and S. Torquato,
Porosity for the penetrable-concentric-shell model of
two-phase disordered media: computer simulation results,
J. Chem. Phys. 89,
3258--3263 (1988).
- 31
-
J. Vieillard-Baron,
Phase transitions of the classical hard-ellipse system,
J. Chem. Phys. 56,
4729--4744 (1972).
- 32
-
A.L.R. Bug, S.A. Safran, G.S. Grest, and I. Webman,
Do interactions raise or lower a percolation threshold?,
Phys. Rev. Lett. 55,
1896--1899 (1985).
- 33
-
H. Reiss, H.L. Frisch, and J.L. Lebowitz,
Statistical mechanics of rigid spheres,
J. Chem. Phys. 31,
369--380 (1959).
- 34
-
H. Reiss and R.V. Casberg,
Radial distribution function for hard spheres from scaled
particle theory, and an improved equation of state,
J. Chem. Phys. 61,
1107--1114 (1974).
- 35
-
J.R. MacDonald,
On the mean separation of particles of finite size in one
to three dimensions,
Mol. Phys. 44,
1043--1049 (1981).
- 36
-
S. Torquato, B. Lu, and J. Rubinstein,
Nearest-neighbor distribution functions in many-body systems,
Phys. Rev. A 41,
2059--2075 (1990).
- 37
-
S. Torquato and S.B. Lee,
Computer simulations of nearest-neighbor distribution
functions and related quantities for hard-sphere systems,
Physica A 167,
361--383 (1990).
- 38
-
P.A. Rikvold and G. Stell,
Porosity and specific surface for interpenetrable-sphere
models of two-phase random media,
J. Chem. Phys. 82,
1014--1020 (1985).
- 39
-
P.A. Rikvold and G. Stell,
D-dimension interpenetrable-sphere models of random
two-phase media: Microstructure and an application to
chromatography,
J. Coll. I. Sci. 108,
158--173 (1985).
- 40
-
B. Lu and S. Torquato,
General formalism to characterize the microstructure of
polydispersed random media,
Phys. Rev. A 43,
2078--2080 (1991).
- 41
-
B. Lu and S. Torquato,
Nearest-surface distribution functions for polydispersed
particle system,
Phys. Rev. A 45,
5530--5544 (1992).
- 42
-
K.A. Snyder and J.R. Clifton,
Measures of air void spacing,
Wiss. Z. Hochsch. Archit. Bauwes. (Weimar) 40,
155--157 (1994).
- 43
-
W.F. Espenscheid, M. Kerker, and E. Matijevic,
Logarithmic distribution functions for colloidal particles,
J. Phys. Chem. 68,
3093--3097 (1964).
- 44
-
W.P. Reid,
Distribution of sizes of spheres in a solid from a study
of slices of the solid,
J. Math. Phys. 34,
95--102 (1955).
Up: Main Previous: Acknowledgements