Abstract
The stress-crack width relationship has been determined experimentally for concretes reinforced with two types of fibres, steel and polypropylene, of various fibre volume fractions. A micromechanics-based theoretical model is proposed which captures the essential features of the stress-crack width relationships at small crack widths (less than 0.3 mm).
Micromechanisms accounted for include the bridging actions due to aggregates and fibres, Cook-Gordon interface debonding and fibre pre-stress. The fibre bridging action involves interface slip-dependent friction as well as snubbing friction for fibres bridging at inclined angles. Theoretical predictions based on independent parametric inputs compare favourably with experimental measurements of the stress-crack width relationship. Findings in this research provide confidence in the use of the proposed model for materials engineering targeted at prescribed structural performance.
Resume
On a déterminé de façon expérimentale la relation contrainte-largeur de fissure pour des bétons renforcés par deux types de fibres—acier et polypropylène—avec différentes proportions en volume de fibres. On propose un modèle théorique basé sur la micromécanique, qui prend en compte les caractéristiques essentielles des relations contrainte-largeur de fissure pour des largeurs limitées (<0.3 mm). Les micromécanismes pris en considération comprennent l'effet de pontage, l'effet Cook-Gordon à l'interface et la précontrainte des fibres. L'effet de pontage des fibres implique un frottement en relation avec le glissement et un frottement qui relève les fibres se croisant à angles obliques. La comparaison entre les prédictions théoriques basées sur des paramétres indépendants et les mesures expérimentales de la relation contrainte-largeur de fissure est satisfaisante. Les résultats de cette recherche donnent confiance dans l'utilisation du modèle proposé pour des matériaux de génie civil destinés à des performances structurelles prescrites.
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Li, V.C., Stang, H. & Krenchel, H. Micromechanics of crack bridging in fibre-reinforced concrete. Materials and Structures 26, 486–494 (1993). https://doi.org/10.1007/BF02472808
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DOI: https://doi.org/10.1007/BF02472808