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Design and structural applications of stress-crack width relations in fibre reinforced concrete

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Abstract

The stress-crack width relationship has been shown to be the key to an understanding of fracture propagation in and mechanical behaviour in tension of fibre reinforced concrete materials and structures. A model is derived for the stress-crack width relationship for randomly oriented short fibre composites which takes hybrid fibre systems and possible fibre rupture into account. It is shown how this stress-crack width relationship can be included in a structural model for the prediction of crack widths in reinforced concrete structures. With this combination of models a rational design tool for the design of composite materials and structures has been established. It is shown how different fibre systems can be tested for structural applicability and how combined material and structural optimization can take place.

Resume

La relation contrainte-largeur de fissure est essentielle pour la compréhension de la progression de la fissuration et du comportement mécanique en traction des matériaux et des structures en béton renforcé de fibres. On propose un modèle de la relation contrainte-largeur de fissure de composites à fibres courtes avec une orientation aléatoire. Ce modèle prend en compte des compositions hybrides et des ruptures possibles des fibres. On démontre comment cette relation contrainte-largeur de fissure peut être incluse dans un modèle structural de prédiction de la largeur des fissures dans une structure en béton armé. Avec cette combinaison de modèles, on a crée un instrument rationnel pour le calcul des matériaux et des structures composites. On démontre comment des systèmes différents de fibre peuvent être analysés par rapport à leur applicabilité structurale, et comment il est possible d'effectuer une optimalisation combinée du côté matériaux et du côté structures.

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Stang, H., Li, V.C. & Krenchel, H. Design and structural applications of stress-crack width relations in fibre reinforced concrete. Materials and Structures 28, 210–219 (1995). https://doi.org/10.1007/BF02473251

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