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Transport Properties of a Fibre-layer Composite Material

  • Conference paper
IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 91))

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Abstract

We study a composite material of the fibre - layer type by combination of the method of symmetry and the method of functional equations. Approximate analytical formulae are deduced for the effective conductivity tensor.

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References

  1. Berdichevskij V L (1986) Variational methods of continuum mechanics, Moscow, Nauka.

    Google Scholar 

  2. McPhedran R C (1986) Transport properties of cylinder pairs and the square array of cylinders. Proc. Roy. Soc. Lond. A408: 31–43

    ADS  Google Scholar 

  3. Mityushev V (1997) Transport properties of regular arrays of cylinders. ZAMM 77: 115–120

    Article  MATH  MathSciNet  Google Scholar 

  4. Mityushev V (1997) Transport properties of finite and infinite composite materials and Rayleigh’s sum. Arch. Mech. 49: 345–358

    MATH  MathSciNet  Google Scholar 

  5. Mityushev V (1997) A functional equation in a class of analytic functions and composite materials. Demostratio Math 30: 63–70

    MATH  MathSciNet  Google Scholar 

  6. Mityushev V V, Rogosin S V (1999) Constructive methods for linear and nonlinear boundary value problems for analytic functions, Chapman & Hall/CRC, Boca Raton etc

    Google Scholar 

  7. Mityushev V (1998) Steady heat conduction of the material with an array of cylindrical holes in the nonlinear case, IMA J Appl. Math. 61: 91–102

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. Mityushev V, Zhorovina T N (1996) Exact solution to the problem on electrical field in doubly periodic heterogeneous media. Proc. Int. Conf. Boundary Value Problems, Special Functions and Fractional Calculus, Minsk, Belarus, February 16–20, 1996, 237–243 [Russian]

    Google Scholar 

  9. Mityushev V, Zhorovina T N (1991) Unsteady heat conduction of certain composite material. Ing. Phys. J. 61: 866–867 [Russian]

    Google Scholar 

  10. Obnosov Yu (1996) Exact solution of a boundary value problem for a rectangular checkboard field. Proc. Roy. Soc. Lond. A452: 2423–2442

    ADS  MathSciNet  Google Scholar 

  11. Rylko N (2000) Transport properties of a rectangular array of highly conducting cylinders. J Engin. Math. 38: 1–12

    Article  MATH  MathSciNet  Google Scholar 

  12. Weil A (1976) Elliptic functions according to Eisenstein and Kronecker, Springer-Verlag, Berlin etc.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Pedagogical College, ul. Arciszewskiego 22B, 76-200, Slupsk, Poland

    V. V. Mityushev & T. N. Zhorovina

Authors
  1. V. V. Mityushev
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  2. T. N. Zhorovina
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© 2001 Kluwer Academic Publishers

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Mityushev, V.V., Zhorovina, T.N. (2001). Transport Properties of a Fibre-layer Composite Material. In: IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media. Solid Mechanics and Its Applications, vol 91. Springer, Dordrecht. https://doi.org/10.1007/0-306-46955-3_13

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  • DOI: https://doi.org/10.1007/0-306-46955-3_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7038-3

  • Online ISBN: 978-0-306-46955-8

  • eBook Packages: Springer Book Archive

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