Abstract
A mathematical model for the prediction of volume change cracking in end-restrained concrete members has been developed. The model adopted the ACI Committee 209 method for the prediction of creep and shrinkage of concrete in conjunction with the bond slip cracking mechanism with an improved tensile strain distribution. The time discretization method was used for calculating the development of shrinkage and creep in concrete, taking into consideration the daily variations in temperature and relative humidity. Before-cracking and after-cracking creep of concrete were also calculated, for the first time, taking into consideration the variable stress level to which the concrete section is exposed.
The results of tensile strain development, cracking age and crack width development obtained from the proposed model were compared with those obtained from a previous experimental research program which used a test model that largely resembled site conditions. The two results were found to be in line with one another, which proves the feasibility of the proposed model.
Résumé
On a élaboré un modèle mathématique pour la prédiction de la fissuration due au changement de volume des éléments en béton encastrés sur leurs extrémités. Ce modèle adopte la Méthode ACI 209 pour la prédiction du fluage et du retrait du béton conjugés au mécanisme de fissuration due à la défaillance de l'adhérence avec une amélioration de la distribution de la résistance à la traction. Le calcul du développement du retrait et du fluage a été fait en fonction du temps et a tenu compte des variations de température et d'humidité relative. Le fluage, avant et après fissuration, a été calculé également, en tenant compte, pour la première fois, du niveau de contrainte variable auquel est exposé l'élément en béton.
Les résultats obtenus de ce modèle proposé sur le développement de la contrainte de traction, l'âge de fissuration et le développement en largueur des fissures ont été comparés à ceux provenant d'une recherche expérimentale précédente utilisant un modèle d'essai, qui ressemble aux conditionsin situ. Les deux méthodes ont donné des résultats concordants, ce qui valide le modèle proposé.
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References
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Kheder, G.F. A mathematical model for the prediction of volume change cracking in end-restrained concrete members. Mat. Struct. 30, 174–181 (1997). https://doi.org/10.1007/BF02486390
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DOI: https://doi.org/10.1007/BF02486390