Materials and Structures

, Volume 24, Issue 5, pp 323–326 | Cite as

Consequences of diffusion theory for shrinkage of concrete

  • Zdeněk P. Bažant
  • Joong-Koo Kim
Article

Abstract

The paper reviews the known consequences of diffusion theory for the mathematical modelling of shrinkage, including the size dependence of drying half-time, and the initial and final asymptotic shapes of the time curves of total moisture loss, to which shrinkage is proportional. The mathematical arguments are extended and presented with greater rigour and generality than before, taking the non-linearity of the diffusion equation as well as ageing into account.

Keywords

Shrinkage Diffusion Equation Diffusion Theory Shrinkage Strain Humidity Profile 

Resume

On considère les conséquences de la théorie de diffusion pour la modélisation mathématique du retrait du béton, y compris l’effet de dimension sur la durée du semi-séchage et la forme asymptotique initiale et finale des courbes de temps de la perte d’humidité totale à laquelle la résistance est proportionnelle. On expose et on présente de façon plus rigoureuse et plus générale qu’auparavant les arguments mathématiques, en tenant compte de la non linéairité de l’équation de diffusion et du vieillissement.

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References

  1. 1.
    Carlson, R. W., ‘Drying shrinkage of large concrete members’,ACI J. 33 (1937) 327–336.Google Scholar
  2. 2.
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    Bažant, Z. P. and Thonguthai, W., ‘Pore pressure and drying of concrete at high temperature,’J. Engng. Mech. ASCE 104 (1978) 1058–1080.Google Scholar
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    Bažant, Z. P. and Raftshol, W. J., ‘Effect of cracking in drying and shrinkage specimens,’Cement Concr. Res. 12(2) (1982) 209–226.CrossRefGoogle Scholar
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    Bažant, Z. P., Kim, J. K., Wittmann, F. H. and Alou, F., ‘Statistical extrapolation of shrinkage data-part I: Regression,”ACI M. J. 84(1) (1987) 20–34.Google Scholar
  7. 7.
    Idem,, ‘Statistical extrapolation of shrinkage data-Part II: Bayesian updating,’ACI M. J. 84(2) (1987) 83–91.Google Scholar

Copyright information

© RILEM 1991

Authors and Affiliations

  • Zdeněk P. Bažant
    • 1
  • Joong-Koo Kim
    • 1
  1. 1.Center for Advanced Cement-Based MaterialsNorthwestern UniversityEvanstonUSA

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