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On the numerical evaluation of Eshelby's tensor and its application to elastoplastic fibrous composites

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Abstract

A numerical evaluation of Eshelby's S tensor for an ellipsoidal inclusion imbedded in a general anisotropic matrix material is performed. The numerical scheme is valid for any degree of matrix anisotropy and for any aspect ratio of the ellipsoid, including the extreme cases of cracks and cylindrical inclusions. The influence of matrix anisotropy on the evaluation of S is tested extensively for cylindrical inclusions by considering plasticity induced anisotropy in the instantaneous properties of an elastic-plastic matrix material. The Mori-Tanaka averaging method is used to study the influence of the evaluation of S on the prediction of instantaneous effective properties of fibrous composites with elastic fibres and elastic-plastic matrix.

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Author notes

  1. A. C. Gavazzi

    Present address: Technical University of Milan, Milano, Italy

Authors and Affiliations

  1. Department of Civil Engineering, Rensselaer Polytechnic Institute, 12180, Troy, NY, USA

    A. C. Gavazzi & D. C. Lagoudas

  2. Institute Center for Composite Materials and Structures, Rensselaer Polytechnic Institute, 12180, Troy, NY, USA

    A. C. Gavazzi & D. C. Lagoudas

Authors
  1. A. C. Gavazzi
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  2. D. C. Lagoudas
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Communicated by S. N. Atluri, July 17, 1989

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Gavazzi, A.C., Lagoudas, D.C. On the numerical evaluation of Eshelby's tensor and its application to elastoplastic fibrous composites. Computational Mechanics 7, 13–19 (1990). https://doi.org/10.1007/BF00370053

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  • DOI: https://doi.org/10.1007/BF00370053

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