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Simple estimation on effective transport properties of a random composite material with cylindrical fibres

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Abstract.

Improved bounds for effective transport properties of a random non-percolated composite with cylindrical fibres are developed by means of the security-spheres approach. The key point of the method is to obtain a solution for a regular composite that can be valid for all values of the volume fractions and properties of the components. For this aim we use the asymptotic homogenization method; a cell problem is solved by a modified version of the boundary shape perturbation technique.

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Authors and Affiliations

  1. Institut für Allgemeine Mechanik, Rheinisch-Westfälische Technische Hochschule Aachen, Templergraben 64, Aachen, 52062, Germany

    Igor V. Andrianov & Dieter Weichert

  2. Prydniprovska State Academy of Civil Engineering and Architecture, 24-a Chernyshevskogo St., Dnipropetrovs’k, 49600, Ukraine

    Vladyslav V. Danishevs’kyy

Authors
  1. Igor V. Andrianov
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  2. Vladyslav V. Danishevs’kyy
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  3. Dieter Weichert
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Correspondence to Igor V. Andrianov.

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Andrianov, I.V., Danishevs’kyy, V.V. & Weichert, D. Simple estimation on effective transport properties of a random composite material with cylindrical fibres. Z. angew. Math. Phys. 59, 889–903 (2008). https://doi.org/10.1007/s00033-007-6146-3

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  • DOI: https://doi.org/10.1007/s00033-007-6146-3

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