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Practical formulation of shrinkage and creep of concrete

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Abstract

A set of algebraic formulas is proposed to describe the shrinkage and creep of concrete over the entire range of time durations of interest. The formulas cover: the effects of drying at various environmental relatire humidities, the size and shape of cross section, aging (due to hydration), the effect of time lag of loading after the start of drying, creep of specimens predried to various humidities, the nonlinear dependence of stress, the increase of nonlinearity at simultaneous drying, and the decrease of strength for long-time loads. Simplification in the form of a linear dependence on stress is obtained as special case. The formulation is an extension of the double power creep law, which has been recently proposed for creep in absence of moisture exchange. The shape of the time curves of creep depends on the humidity. A rather close agreement with the extensive experimental data available in the literature is demonstrated.

Résumé

On propose une série de formules algébriques qui traduisent le retrait et le fluage du béton considéré pour toutes les durées intéressantes. Ces formules prennent en compte: les effets du séchage à diverses humidités relatives ambiantes, dimensions et formes de la section, le vieillissement (dû à l’hydratation), l’effet retardé du chargement après le début du séchage, le fluage d’éprouvettes préséchées à diverses humidités, la fonction non linéaire de contrainte, l’accroissement de la non-linéarité durant le séchage, et la diminution de la résistance sous charge de longue durée. On a obtenu comme un cas particulier une simplification sous forme de fonction linéaire de la contrainte. La formulation est une extension de la loi de fluage dite «à double puissance» qui a été récemment proposée pour l’étude du fluage en l’absence d’échange d’humidité. La forme des courbes de fluage en fonction du temps dépend des conditions d’humidité. On montre qu’on obtient une assez bonne concordance avec les nombreuses données expérimentales disponibles.

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References

  1. A.C.I. Committee 209/II (chaired by D.E. Branson),Prediction of creep, shrinkage and temperature effects in concrete structures, ACI-SP27. Designing for Effects of Creep, Shrinkage and Temperature, Detroit, 1971. pp. 51–93.

  2. Bažant Z. P.Theory of creep and shrinkage in concrete structures: A précis of recent developments. Mechanics Today, Vol. 2, 1975 pp. 1–93, Pergamon Press.

    Google Scholar 

  3. Bažant Z. P., Asghari A. A., Schmidt J.Experimental study of creep of hardened Portland cement paste at variable water content. Materials and Structures, Vol. 9, No. 52, July–August 1976, pp. 279–290.

    Google Scholar 

  4. Bažant Z. P., Najjar L. J.Non-linear water diffusion in non-saturated concrete, Materials and Structures (RILEM, Paris), Vol. 5, 1972, pp. 3–20.

    Google Scholar 

  5. Bažant Z. P., Osman E.On the choice of creep function for standard recommendations on practical analysis of structures, Cement and Concrete Research, Vol. 5, 1975, pp. 129–138, 631–641; Vol. 6, pp. 149–153; and disc in press, Vol. 7, No. 1.

    Article  Google Scholar 

  6. Bažant Z. P., Osman E.Double power law for basic creep of concrete. Materials and Structures (RILEM, Paris), Vol. 9, No. 49, 1976, pp. 3–11.

    Google Scholar 

  7. Bažant Z. P., Wu, S. T.Thermoviscoelasticity of aging concrete, J. Eng. Mech. Div., Proc. A.S.C.E., Vol. 100, 1974, pp. 1183–1209.

    Google Scholar 

  8. Bažant Z. P., Wu, S. T.Creep and shrinkage law for concrete at variable humidity. J. Eng. Mech. Div., Proc. A.S.C.E., Vol., 100, 1974, pp. 1183–1209.

    Google Scholar 

  9. Becker N. K., MacInnis C.A theoretical method for predicting the shrinkage of concrete. Amer. Concrete Inst. J., Vol. 70, 1973, pp. 652–657.

    Google Scholar 

  10. Campbell-Allen M. A., Brooker J. R.Size effects in drying and shrinkage of concrete. Materials and Structures (RILEM, Paris), Vol. 6, 1973, pp. 151–152.

    Google Scholar 

  11. Carlson, R. W.Drying shrinkage of large concrete members. Amer. Concrete Inst. J., Proc., Vol. 33, 1937, pp. 327–336.

    Google Scholar 

  12. C.E.B.-F.I.P. (Comité Européen de Béton, Fédération Internationale de la Précontrainte).International Recommendations for Analysis and Construction of Concrete Structures, 2nd Ed., Cement & Concrete Assoc., London, 1970.

    Google Scholar 

  13. Hansen T. C., Mattock A. H.Influence of size and shape of member on the shringage and creep of concrete. Amer. Concrete Inst. J., Vol. 63, 1966, pp. 267–290.

    Google Scholar 

  14. L’Hermite R.—Volume changes of concrete. U. S. National Bureau of Standards Monograph 43, 4th Int. Symp. on Chemistry of Cements (held in Washington, D. C.). October 1960, pp. 659–694.

  15. L’Hermite R., Mamillan M.Retrait et fluage des bétons. Annales de l’Inst. Techn. du Bâtiment et des Travaux Publics (Supplément), Vol. 21, No. 249, 1968, p., 1334;Nouveaux résultats et récentes études sur le fluage du béton. Materials and Structures, Vol. 2, 1969, pp. 35–41;Mamillan M., Bouineau A.Influence de la dimension des éprouvettes sur le retrait. Annales Inst. Techn. du Bâtiment et des Travaux Publics (Supplément), Vol. 23, No. 270, 1970, pp. 5–6.

    Google Scholar 

  16. L’Hermite R. G., Mamillan M., Lefèvre C.Nouveaux résultats de recherches sur la déformation et la rupture du béton, Annales de l’Institut Techn. du Bâtiment et des Travaux Publics, Vol. 18, No. 207-208, 1965, pp. 323–360 (see also International Conference on the Structure of Conerete, Cement and Concrete Association, London, 1968, pp. 423–433).

    Google Scholar 

  17. Ross A. D.Shape, size and shrinkage. Concrete and Constructional Engineering, August 1944, pp. 193–199.

  18. Rüsch H., Jungwirth D., Hilsdorf H.Kritische Sichtung der Verfahren zur Berücksichtigung der Einflüsse von Kriechen, Beton-und Stahlbetonbau, Vol. 68, 1973, pp. 40–60, 76–86 and 152–158.

    Google Scholar 

  19. Rüsch H. et al.Festigkeit und Verformung, von unbewehrten Beton unter konstanter Dauerlast. Deutcher Auschuss für Stahlbeton Heft 198, W. Ernst & Sohn, Berlin, 1968;see also Amer. Concrete Inst. J., Vol. 57, 1968, pp. 1–58.

    Google Scholar 

  20. Stockett A. L., Schneider A. M., Mardulier F. J.An analysis of drying shrinkage data for Portland cement mortar and concrete, A.S.T.M. Four. or Materials, Vol. 2, 1967, pp. 829–842.

    Google Scholar 

  21. Troxell G. E., Raphael J. M., Davis R. W.Long-time creep and shrinkage tests of plain and reinforced concrete, Proc. A.S.T.M., Vol. 58, 1958, pp. 1101–1120.

    Google Scholar 

  22. Weil G.Influence des dimensions et des tensions sur le retrait et le fluage du béton, RILEM Bull., No. 3, 1959, pp. 4–14.

    Google Scholar 

  23. Whaley C. P., Neville A. M.Non-elastic deformation of concrete under cyclic compression. Magazine of Concrete Research, Vol. 25, No. 84, September 1973, pp. 145–154.

    Google Scholar 

  24. Wittmann F.Kriechverformung des Betons unter statischer und unter dyhamischer Belastung, Rheol. Acta, Vol. 10, 1971, pp. 422–428.

    Article  Google Scholar 

  25. Wittmann F. H., Lukas J.The application of rate theory to time-dependent deformation of concrete. Magazine of Concrete Research, Vol. 26, 1974, pp. 191–197.

    Google Scholar 

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Bažant, Z.P., Osman, E. & Thonguthai, W. Practical formulation of shrinkage and creep of concrete. Matériaux et Constructions 9, 395–406 (1976). https://doi.org/10.1007/BF02473774

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