Abstract

The maturity method may be used to predict the in-place strength of hardening concrete based on its thermal history. A theoretical basis for the maturity method is presented. The general form of the time-temperature function is found to be the time integral of the rate constant. For the case of linear dependence between temperature and the rate constant, the time-temperature function becomes the traditional maturity function. The Arrhenius equation is shown to be an accurate representation of the temperature dependence of the rate constant, and the concept of equivalent age is explained for practical application of the Arrhenius equation. It is explained how the accuracy of strength prediction by the traditional maturity method can be improved by using the proper datum temperature. Results illustrate that the appropriate value of apparent activation energy or datum temperature for concrete may be obtained from strength-gain data of isothermally cured mortar specimens.

References

1.
Bickley
,
J. A.
, “
Concrete Optimization
,”
Concrete International
 0162-4075, Vol.
4
, No.
6
,
06
1982
, pp.
38
-
41
.
2.
Annual Book of ASTM Standards
,
American Society for Testing and Materials
, Part 14,
1982
, (or
1983
, Volume
04.02
).
3.
McIntosh
,
J. D.
, “
Electrical Curing of Concrete
,”
Magazine of Concrete Research
 0024-9831, Vol.
1
, No.
1
,
01
1949
, pp.
21
-
28
.
4.
Nurse
,
R. W.
, “
Steam Curing of Concrete
,”
Magazine of Concrete Research
 0024-9831, Vol.
1
, No.
2
,
06
1949
, pp.
79
-
88
.
5.
Saul
,
A. G. A.
, “
Principles Underlying the Stream Curing of Concrete at Atmospheric Pressure
,”
Magazine of Concrete Research
 0024-9831, Vol.
2
, No.
6
,
03
1951
, pp.
127
-
140
.
6.
ACI Committee 306
, “
Cold Weather Concerning
”, ACI 306R-78, Chapter 7,
American Concrete Institute
,
Detroit, MI
,
1978
.
7.
Bergstrom
,
S. G.
, “
Curing Temperature, Age and Strength of Concrete
,”
Magazine of Concrete Research
 0024-9831, Vol.
5
, No.
14
,
12
1953
, pp.
61
-
66
.
8.
Plowman
,
J. M.
, “
Maturity and the Strength of Concrete
,”
Magazine of Concrete Research
 0024-9831, Vol.
8
, No.
22
,
03
1956
, pp.
13
-
22
.
9.
McIntosh
,
J. D.
, “
The Effects of Low-Temperature Curing on the Compressive Strength of Concrete
,”
Proceedings of the RILEM Symposium on Winter Concreting
,
Danish Institute for Building Research
,
Copenhagen, Denmark
,
1956
, 18 pp.
10.
Klieger
,
P.
, “
Effects of Mixing and Curing Temperatures on Concrete Strength
,”
Journal of the American Concrete
, Vol.
54
, No.
12
,
06
1958
, pp.
1063
-
1082
.
11.
Alexander
,
K. M.
and
Taplin
,
J. H.
, “
Concrete Strength, Cement Hydration and the Maturity Rule
,”
Australian Journal of Applied Science
, Vol.
13
,
1962
, pp.
277
-
284
.
12.
Malhotra
,
V. M.
, “
Maturity Concept and the Estimation of Concrete Strength
,” Information Circular IC 277,
Department of Energy, Mines and Resources (Canada)
,
Mines Branch
,
11
1971
, 43 pp.
13.
RILEM Commission 42-CEA
, “
Properties of Set Concrete at Early Ages State-of-the-Art-Report
,”
Materials and Structures
 1359-5997, Vol.
14
, No.
84
, Nov.–Dec. 1981, pp.
399
-
450
.
14.
Kasai
,
Y.
, “
Method of Estimation for Compressive Strength of Concrete at Early Ages
,”
Proceedings of the RILEM International Conference on Concrete at Early Ages
, Vol.
I
,
Ecole Nationale des Ponts et Chausses
,
Paris
,
1982
, pp.
157
-
162
.
15.
Freiesleben Hansen
,
P.
and
Pedersen
J.
, “
Maturity Computer for Controlled Curing and Hardening of Concrete
,”
Nordisk Betong
, Vol.
1
,
1977
, pp.
19
-
34
.
16.
Bresson
,
J.
, “
Prediction of Strength of Concrete Products
,”
Proceedings of the RILEM International Conference on Concrete at Early Ages
, Vol.
I
,
Ecole Nationale des Ponts et Chausses
,
Paris
,
1982
, pp.
111
-
115
.
17.
Gauthier
,
E.
and
Regourd
,
M.
, “
The Hardening of Cement in Function of Temperature
,”
Proceedings of the RILEM International Conference on Concrete at Early Ages
, Vol.
I
,
Ecole Nationale des Ponts et Chausses
,
Paris
,
1982
, pp.
145
-
150
.
18.
Hansen
,
A. J.
, “
COMA-Meter—The Mini Maturity Meter
,”
Nordisk Betong
,
09
1981
.
19.
Byfors
,
J.
, “
Plain Concrete at Early Ages
,” Swedish Cement and Concrete Research Institute Report 3:80, Stockholm, Sweden,
1980
, 464 pp.
20.
Lew
,
H. S.
and
Reichard
,
T. W.
, “
Mechanical Properties of Concrete at Early Ages
,”
Journal of the American Concrete Institute
 0002-8061, Vol.
75
, No.
10
,
10
1978
, pp.
533
-
542
.
21.
Lew
,
H. S.
and
Reichard
,
T. W.
,
Prediction of Strength of Concrete from Maturity
,
SP-56
,
American Concrete Institute
,
Detroit, MI
,
1978
, pp.
229
-
248
.
22.
Carino
,
N. J.
,
Lew
,
H. S.
, and
Volz
,
C. K.
, “
Early Age Temperature Effects on Concrete Strength Prediction by the Maturity Method
,”
Journal of American Concrete Institute
 0002-8061, Vol.
80
, No.
2
, March–April 1982, pp.
93
-
101
.
23.
Carino
,
N. J.
, “
Temperature Effects on the Strength-Maturity Relation of Mortar
,”
National Bureau of Standards
, NBSIR 81-2244,
Washington, DC
,
03
1981
, 98 pp.
24.
Carino
,
N. J.
, “
Maturity Functions for Concrete
,”
Proceedings of the RILEM International Conference on Concrete at Early Ages
, Vol.
I
,
Ecole Nationale des Ponts et Chausses
,
Paris
,
1982
, pp.
123
-
128
.
25.
Carino
,
N. J.
, “
Application of Maturity Concept to Form Removal and Reshoring Schedule
,”
Proceedings of the International Conference on Forming Economical Concrete Buildings
,
Portland Cement Association
,
Skokie, IL
,
1982
, pp. 8.1–8.19.
26.
Bernhardt
,
C. J.
, “
Hardening of Concrete at Different Temperatures
,”
Proceedings of the RILEM Symposium on Winter Concreting
,
Danish Institute for Building Research Copenhagen
,
Denmark
,
1956
, 18 pp.
27.
Goral
,
M. L.
, “
Empirical Time-Strength Relations of Concrete
,”
Journal of the American Concrete Institute
 0002-8061, Vol.
53
, No.
2
,
08
1956
, pp.
215
-
224
.
28.
ACI Committee 209
,
Prediction of Creep, Shrinkage, and Temperature Effects in Concrete Structures
, SP-27,
American Concrete Institute
,
Detroit, MI
,
1971
, pp.
51
-
93
.
29.
Knudsen
,
T.
, “
On Particle Size Distribution in Cement Hydration
,”
Proceedings of the 7th International Congress on the Chemistry of Cement
, Vol.
II
,
Editions Septima
,
Paris
,
1980
, pp.
I-170
-
175
.
30.
Bezjak
,
A.
and
Jelenić
,
I.
, “
On the Determination of Rate Constants for Hydration Processes in Cement Pastes
,”
Cement and Concrete Research
 0008-8846, Vol.
10
, No.
4
,
07
1980
, pp.
553
-
563
.
31.
Copeland
,
L. E.
and
Kantro
,
D. L.
, “
Chemistry of Hydration of Portland Cement at Ordinary Temperature
,” in
The Chemistry of Cements
, Vol.
I
,
H. F. W.
Taylor
, Ed.,
Academic Press
,
London, England
,
1964
.
32.
Knudsen
,
T.
and
Geiker
,
M.
, “
Chemical Shrinkage as an Indicator of the Stage of Hardening
,”
Proceedings of the RILEM International Conference on Concrete at Early Ages
, Vol.
I
,
Ecole Nationale des Ponts et Chausses
,
Paris
,
1982
, pp.
163
-
165
.
33.
Barnes
,
B. D.
,
Orndorff
,
R. L.
, and
Roten
,
J. E.
, “
Low Initial Temperature Improves the Strength of Concrete Cylinders
,”
Journal of the American Concrete Institute
 0002-8061, Vol.
74
, No.
12
,
12
1977
, pp.
612
-
615
.
34.
Dodson
,
C. J.
and
Rojagoplan
,
K. S.
, “
Field Tests Verify Temperature Effects on Concrete Strength
,”
Concrete International
 0162-4075, Vol.
1
, No.
12
,
12
1979
, pp.
26
-
30
.
35.
Tashiro
,
C.
and
Tanaka
,
H.
, “
The Effect of the Lowering of Initial Curing Temperature on the Strength of Steam Cured Mortar
,”
Cement and Concrete Research
 0008-8846, Vol.
7
, No.
5
,
09
1977
, pp.
545
-
552
.
36.
Rastrup
,
E.
, “
Heat of Hydration in Concrete
,”
Magazine of Concrete Research
 0024-9831, Vol.
6
, No.
17
,
09
1954
, pp.
79
-
92
.
37.
Regourd
,
M.
, “
Structure and Behavior of Slag Portland Cement Hydrates
,”
Proceedings of the 7th International Congress on the Chemistry of Cement
, Vol.
1
,
Editions Septima
,
Paris
,
1980
, pp. III-2/11-2/26.
38.
Alexander
,
K. M.
,
Taplin
,
J. H.
, and
Wardlaw
,
J.
, “
Correlation of Strength and Hydration with Composition of Portland Cement
,”
Proceedings of the 5th International Symposium on the Chemistry of Cement
, Vol.
III
,
Cement Association of Japan
,
Tokyo
,
1969
, pp.
152
-
166
.
39.
Seki
,
S.
,
Kasahara
,
K.
,
Kuriyama
,
T.
, and
Kawasumi
,
M.
, “
Effects of Hydration of Cement on Compressive Strength, Modulus of Elasticity and Creep of Concrete
,”
Proceedings of the 5th International Symposium on the Chemistry of Cement
, Vol.
III
,
Cement Association of Japan
,
Tokyo
,
1969
, pp.
175
-
185
.
40.
Regourd
,
M.
,
Mortureux
,
B.
,
Gauthier
,
E.
,
Hornain
,
H.
, and
Volant
,
J.
, “
Characterization and Thermal Activation of Slag Cements
,”
7th International Congress on the Chemistry of Cement
, Vol.
III
,
Editions Septima
,
Paris
,
1980
,
III-105
-
111
.
41.
Roy
,
D. M.
and
Idorn
,
G. M.
, “
Hydration, Structure, and Properties of Blast Furnace Slag Cements, Mortars and Concrete
,”
Journal of the American Concrete Institute
 0002-8061, Vol.
79
, No.
6
, Nov.–Dec. 1982, pp.
444
-
457
.
42.
Ozyildirim
,
H. C.
, “
Use of Neoprene Pads in Testing Concrete Cylinders
,” Report VHTRC 82-R58,
Virginia Highway and Transportation Research Council
,
06
1982
, 15 pp.
43.
Al-Rawi
,
R. S.
, “
Effects of Cement Composition and W/C Ratio on Strength of Accelerated Cured Concrete
,”
Cement and Concrete Research
 0008-8846, Vol.
7
, No.
3
,
05
1977
, pp.
313
-
332
.
44.
Butt
,
Y. M.
,
Kolbasov
,
V. M.
, and
Timashev
,
V. V.
, “
High Temperature Curing of Concrete Under Atmospheric Pressure
,”
Proceedings of the 5th International Symposium on the Chemistry of Cement
,
Cement Association of Japan
, Vol.
III
,
Tokyo, Japan
, pp.
437
-
471
.
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