TECHNICAL PAPERS
Nov 1, 1995

Effect of Composition on Basic Creep of Concrete and Cement Paste

Publication: Journal of Engineering Mechanics
Volume 121, Issue 11

Abstract

A two-level composite model for predicting the basic creep of aging concrete from its composition and the properties of its constituents is proposed. On the macroscale, concrete is treated as a composite of elastic aggregate embedded in the matrix of creeping hardened cement paste. The composite action is described by a combined series-parallel model in which a portion of the paste acts in parallel with the aggregate and the remaining portion in series with this parallel coupling. The portion of the paste coupled in parallel is determined as the amount of paste needed to fill the voids when the aggregate is at its maximum possible compactness, and the remaining portion of the paste then corresponds to the series coupling. On the microscale, the hardened cement paste is considered as a composite of elastic anhydrous cement grains embedded in a matrix of cement gel with voids filled by water and air. The aging is considered by an extension of the previously proposed solidification theory, in which the creeping constituent, the gel, is considered to have nonaging viscoelastic properties, and the aging caused by the chemical reaction of cement hydration is totally ascribed to the volume growth of the load-bearing (bonded) portion of hardened cement gel. The model is calibrated and verified by means of a comprehensive data set reported by Ward, Neville and Singh.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Aboudi, J. (1991). Mechanics of composite materials: A unified micromechanical approach . Elsevier, New York, N.Y.
2.
ACI-ASCE Joint Committee 323. (1958). “Tentative recommendations for prestressed concrete.”ACI J., Proc., 54(Jan.), 545–578.
3.
Bažant, Z. P.(1972). “Prediction of concrete creep effects using age-adjusted effective modulus method.”ACI J., 69, 212–217.
4.
Bažant, Z. P., ed. (1986). “Mathematical modeling of creep and shrinkage of concrete.”Proc., 4th RILEM Int. Symp., John Wiley & Sons, New York, N.Y.
5.
Bažant, Z. P. (1993). “Current status and advances in the theory of creep and interaction with fracture.”Proc., 5th Int. Symp. on Creep and Shrinkage of Concrete (CONCREEP 5), Z. P. Bažant and I. Carol, eds., E & FN Spon, London, England, 291–307.
6.
Bažant, Z. P., Asghari, A. A., and Schmidt, J.(1976). “Experimental study of creep of hardened cement paste at variable water content.”Mat. and Struct., Paris, France, 9, 279–190.
7.
Bažant, Z. P., and Baweja, S. (1994). “Creep and shrinkage prediction model for analysis and design of concrete structures—Model B3.”Rep., Dept. of Civ. Engrg., Northwestern Univ., Evanston, Ill., (also RILEM Recommendation of Committee TC107, Mat. and Struct ., in press).
8.
Bažant, Z. P., and Chern, J.-C.(1985). “Log double power law for concrete creep.”ACI J., 82, 665–675.
9.
Bažant, Z. P., and Kim, S. S.(1979). “Approximate relaxation function for concrete.”J. Struct. Div., ASCE, 105(12), 2695–2705.
10.
Bažant, Z. P., and Kim, J.-K. (1991–92). “Improved prediction model for time-dependent formations of concrete.”Mat. and Struct., Paris, France, 24(144), 409–421; 25(145), 21–28; 25(146), 84–94; 25(147), 163–169.
11.
Bažant, Z. P., Kim, J.-K., and Panula, L.(1991). “Improved prediction model for time-dependent deformations of concrete: Part 1–Shrinkage.”Mat. and Struct., Paris, France, 24(143), 327–345.
12.
Bažant, Z. P., Kim, J.-K., Wittmann, F. H., and Alou, F.(1987a). “Statistical extrapolation of shrinkage data—Part II: Bayesian updating.”ACI Mat. J., 84, 83–91.
13.
Bažant, Z. P., and Panula, L. (1978). “Practical prediction of time-dependent deformations of concrete.”Mat. and Struct., Paris, France, 11, 307–328, 415–434.
14.
Bažant, Z. P., and Panula, L.(1979). “Practical prediction of time-dependent deformations of concrete.”Mat. and Struct., Paris, France, 12, 169–183.
15.
Bažant, Z. P., Panula, L., Kim, J.-K., and Xi, Y.(1992). “Improved prediction model for time-dependent deformations of concrete: Part 6–Simplified code-type formulation.”Mat. and Struct., Paris, France, 25(148), 219–223.
16.
Bažant, Z. P., and Prasannan, S.(1989). “Solidification theory for concrete creep.”J. Engrg. Mech., ASCE, 115(8), 1691–1725.
17.
Bažant, Z. P., Wittmann, F. H., Kim, J.-K., and Alou, F.(1987b). “Statistical extrapolation of shrinkage data—Part I: Regression.”ACI Mat. J., 84, 20–34.
18.
Benveniste, Y.(1987). “A new approach to the application of Mori-Tanaka's theory in composite materials.”Mech. of Mat., 6, 147–157.
19.
Béton précontraint aux états limites: BPEL. (1991). Règlement français, Ministère des Travaux Publics, Paris, France (in French).
20.
CEB-FIP Model Code General Task Group No. 9. (1990). Evaluation of the time behavior of concrete . Comité Eurointernational du Béton, Lausanne, Switzerland.
21.
Caquot, A. (1935). “Rôle des matériaux inertes dans le béton.”Mem. Soc. Ing. Civils, Paris, France (in French).
22.
Carol, I., and Bažant, Z. P.(1993). “Viscoelasticity with aging caused by solidification of a non-aging constituent.”J. Engrg. Mech., ASCE, 119(11), 2252–2269.
23.
Christensen, R. M. (1979). Mechanics of composite materials . John Wiley & Sons, New York, N.Y.
24.
de Larrard, F., Ithurralde, G., Acker, P., and Chauvel, D. (1990). “High performance concrete for a nuclear containment.”Proc., 2nd Int. Conf. on Use of High Strength Concrete, Am. Concrete Inst., Detroit, Mich., ACI SP, 121–127.
25.
de Larrard, F., and Le Roy, R. (1992). “Relation entre formulation et quelques propriétés mécaniques des bétons à hautes performances.”Mat. and Struct., Paris, France, 25, 464–475 (in French).
26.
Feret, R. (1896). “Essais de divers sables et mortiers hydrauliques.”Annales des Ponts et Chaussées Mémoires et Documents, série 7, Tome VII, 2ème semestre 1986, 174–197 (in French).
27.
Granger, L., Torrenti, J. M., and Ithurralde, G. (1993). “Delayed behavior of concrete in nuclear power plant containments: Analyis and modeling.”Proc., ConCreep 5 (5th Int. Conf. on Creep and Concrete), Chapman & Hall, London, England.
28.
Hashin, Z.(1962). “The elastic moduli of heterogeneous materials.”J. Appl. Mech., 29, 143–150.
29.
Hashin, Z.(1983). “Analysis of composite materials—A survey.”J. Appl. Mech., 50, 481–505.
30.
Hashin, Z., and Shtrikman, S.(1963). “A variational approach to the theory of the elastic behaviour of multiphase materials.”J. Mech. Phys. Solids, 11, 127–140.
31.
Hill, R.(1965). “A self-consistent method for mechanics of composite materials.”J. Mech. Phys. Solids, 13, 213–222.
32.
Lea, F. M. (1971). The chemistry of cements . Chemical Publishing Co., New York, N.Y.
33.
Mura, T. (1982). Micromechanics of defects in solids . Martinus-Nijhoff, The Hague, The Netherlands.
34.
Nilsen, U. A., and Monteiro, P. J.(1993). “Concrete: A three-phase material.”Cement and Concrete Res., 23, 147–151.
35.
Nemat-Nasser, S., and Horii, M. (1993). Micromechanics: Overall properties of heterogeneous materials. North-Holland, Amsterdam, The Netherlands.
36.
Neville, A. M.(1964). “Creep of concrete as a function of its cement paste content.”Mag. Concrete Res., 16(46), 21–30.
37.
Neville, A. M., and Dilger, W. H. (1970). Creep of concrete: Plain, reinforced, prestressed . North-Holland, Amsterdam, The Netherlands.
38.
Neville, A. M., Dilger, W. H., and Brooks, J. J. (1983). Creep of plain and structural concrete . Construction Press, London, England.
39.
Popovics, S. (1986). “A model for deformations of two-phase composites under load.”Preprints, Fourth RILEM Int. Symp. on Creep and Shrinkage of Concrete: Mathematical Modeling, Z. P. Bažant, ed., Northwestern Univ., Evanston, Ill.
40.
Powers, T. C. (1968). The properties of fresh concrete . John Wiley & Sons, New York, N.Y.
41.
RILEM Committee TC107. (1993). “Preliminary guidelines and recommendations for characterizing creep and shrinkage in structural design codes.”Proc., ConCreep 5 (5th Int. Conf. on Creep and Shrinkage of Concrete), Z. P. Bažant and I. Carol, eds., E & FN Spon (Chapman & Hall), London, England, 805–830.
42.
Simeonov, P. (1991). “Composition effect on the basic creep of concrete.”Preliminary Internal Rep., Northwestern Univ., Evanston, Ill.
43.
Taylor, H. F. V. (1964). The chemistry of cements . Academic Press, London, England.
44.
Ward, M. A., Neville, A. M., and Singh, S. P.(1969). “Creep of air entrained concrete.”Mag. Concrete Res., 21(69), 205–210.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 121Issue 11November 1995
Pages: 1261 - 1270

History

Published online: Nov 1, 1995
Published in print: Nov 1995

Permissions

Request permissions for this article.

Authors

Affiliations

Laurent P. Granger
Visiting Res. Asst., Northwestern Univ., on leave from Electricité de France (E.D.F.), Service Etude Projet Thermique et Nucléaire (SEPTEN), Laboratoire Central des Ponts et Chaussées (LCPC), Paris, France.
Zdeněk P. Bažant
Walter P. Murphy Prof. of Civ. Engrg. and Mat. Sci., Northwestern Univ., Evanston, IL 60208.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share