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Impact-deflection by oblique fibers in sparsely reinforced composites

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Abstract

A matrix sparsely reinforced by fibers is investigated under the assumption that the rigidity of the fibers is greater than that of the matrix. Constitutive equations are given in terms of the reinforcement ratio and angles of inclination of the fibers.

Specifically, the problem of a reinforced half-space suddenly impacted on its surface by a time-dependent concentrated force is solved by a stable numerical procedure. Results are given for various reinforcements and fiber directions. Comparisons with the isotropic case are shown.

Zusammenfassung

Die Stoffgleichung eines zusammengesetzten Stoffs mit dünn verteilten Filamenten, deren Steifigkeit grösser ist als jene des Kernmaterials, wird in Funktion des Versteifungsverhältnisses und der Neigungswinkel der Filamente aufgestellt. Durch ein stabiles numerisches Verfahren wird das spezifische Problem eines versteiften Halbraums mit einer stossartig angebrachten, zeitabhängigen, konzentrierten Oberflächenkraft gelöst. Die Resultate werden für verschiedene Versteifungen und Filamentenrichtungen angegeben und mit dem isotropen Fall verglichen.

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Authors and Affiliations

  1. School of Engineering, Tel-Aviv University, Ramat-Aviv, Israel

    Jacob Aboudi & Yechiel Weitsman

Authors
  1. Jacob Aboudi
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  2. Yechiel Weitsman
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Aboudi, J., Weitsman, Y. Impact-deflection by oblique fibers in sparsely reinforced composites. Journal of Applied Mathematics and Physics (ZAMP) 23, 828–844 (1972). https://doi.org/10.1007/BF01602648

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  • DOI: https://doi.org/10.1007/BF01602648

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