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Boundary Value Problems and Their Applications to 2D Composites Theory

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Current Trends in Analysis, its Applications and Computation

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

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Abstract

Analytical effective formulas are derived separately for conductivity and for elasticity. We consider 2D material with circular inclusions with different radii and different properties (n-phase material). We derive new analytical formulas determining the effective properties of such materials. They are connected by structural basic sum expressed through the Eisenstein and Natanzon functions.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Rzeszow, Rzeszow, Poland

    Drygaś Piotr

Authors
  1. Drygaś Piotr
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Correspondence to Drygaś Piotr .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Paula Cerejeiras

  2. Institut of Applied Analysis, TU Bergakademie Freiberg, Freiberg, Germany

    Michael Reissig

  3. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Irene Sabadini

  4. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft

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Piotr, D. (2022). Boundary Value Problems and Their Applications to 2D Composites Theory. In: Cerejeiras, P., Reissig, M., Sabadini, I., Toft, J. (eds) Current Trends in Analysis, its Applications and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-87502-2_25

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