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3-D finite element analysis of composite beams with parallel fibres, based on homogenization theory

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Abstract

The theoretical model of a beam of unidirectional composites, based on the homogenization theory and a refined kinematical hypothesis is presented. Effective material coefficients for the constitutive equation are computed. Description of the stresses on the level of the periodic microstructure is given. The kinematical hypothesis for the beam type behaviour includes the independent shear rotations. The resulting modelling strategy is presented for which a finite element code has been developed. Application of the theory to superconducting coils is shown.

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Authors and Affiliations

  1. Department of Mechanics of Materials, Technical University of Lodz, Al. Politechniki 6, 93 590, Lodz, Poland

    M. Lefik

  2. Istituto di Scienza e Tecnica delle Costruzioni, University of Padova, Via Marzolo 9, 35 131, Padova, Italy

    B. A. Schrefler

Authors
  1. M. Lefik
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  2. B. A. Schrefler
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Additional information

Communicated by B. Schrefler, 3 December 1993

This research was carried out under contract NET-No 90-242

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Lefik, M., Schrefler, B.A. 3-D finite element analysis of composite beams with parallel fibres, based on homogenization theory. Computational Mechanics 14, 2–15 (1994). https://doi.org/10.1007/BF00350153

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  • DOI: https://doi.org/10.1007/BF00350153

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