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Representative Elements for Polydispersed Composites

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Current Trends in Analysis and Its Applications

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

Effective properties of random 2D composites are discussed in the framework of the representative volume element (RVE) theory proposed by Mityushev (Complex Var. Elliptic Equ. 51:1033–1045 2006). This theory is extended to 2D fiber composites with sections perpendicular to fibers of different radii. The RVE theory is applied to the mixture problem arisen in technological processes.

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Notes

  1. 1.

    M-sum is short for Mityushev’s sum.

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Author information

Authors and Affiliations

  1. Department of Technology, Pedagogical University, ul. Podchorazych 2, Krakow, 30-084, Poland

    Natalia Rylko

Authors
  1. Natalia Rylko
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Correspondence to Natalia Rylko .

Editor information

Editors and Affiliations

  1. Dept. of Computer Sc. & Comp. Methods, Pedagogical University, Kraków, Poland

    Vladimir V. Mityushev

  2. Imperial College London, London, United Kingdom

    Michael V. Ruzhansky

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Rylko, N. (2015). Representative Elements for Polydispersed Composites. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_83

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