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Homogenization of FRP pultruded elements: a computational procedure for designing composite materials

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Abstract

This paper presents a numerical procedure for the analysis of fiber-reinforced polymers, based on the application of an asymptotic homogenization method within the linear elastic domain that enables the mechanical characterization of the composite starting from the geometric and mechanical characteristics of its constituent materials. This method can then be used as a tool in the optimal design of the material for its structural use. The model proposed is 3D and envisages the possibility of modelling the composite as a periodic body in the direction orthogonal to the longitudinal development of the fibers. The results obtained from the homogenization procedure are compared with those from semi-empirical models in order to test the soundness of the model used. Furthermore, the homogenized model is capable of furnishing not only overall information on the stress fields in the body but also pointwise in the matrix and in the fibers.

Résumé

Dans ce travail on présente une procédure numérique pour l'analyse des polymères fibro-renforcés, fondée sur l'application d'une méthode asymptotique d'homogénéisation, en élasticité linéaire, qui permet la caractérisation mécanique du composite à partir des caractéristiques mécaniques et géométriques de ses matériaux constituants. Cette méthode peut donc être utilisée comme un outil dans la conception du matériau pour son utilisation optimale. Le modèle proposé est en 3D et permet la modélisation du composite comme un milieu périodique dans la direction perpendiculaire au développement longitudinal de ses fibres. Les résultats obtenus par la procédure d'homogénéisation sont comparés à ceux obtenus par des modèles semiempiriques afin de tester la validité du modèle homogénéisé proposé. De plus on souligne l'intérêt du modèle homogénéisé pour fournir non seulement des données macroscopiques sur les champs de contrainte, mais aussi des données locales sur la distribution des tensions dans la matrice et dans les fibres.

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Authors and Affiliations

  1. Dipartimento di Costruzione dell'Architectura, Istituto Universitario di Architettura di Venezia, University of Venice, Italy

    A. Cecchi & R. Di Marco

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  1. A. Cecchi
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  2. R. Di Marco
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Cecchi, A., Di Marco, R. Homogenization of FRP pultruded elements: a computational procedure for designing composite materials. Mat. Struct. 34, 378–384 (2001). https://doi.org/10.1007/BF02486490

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  • DOI: https://doi.org/10.1007/BF02486490

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