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New Approach to Mathematical Model of Elastic in Two-Dimensional Composites

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Modern Problems in Applied Analysis

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

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Abstract

This paper is devoted to boundary value problems for elastic problems modelled by the biharmonic equation in two-dimensional composites. All the problems are studied via the method of complex potentials. The considered boundary value problems for analytic functions are reduced to functional-differential equations. Applications to calculation of the effective properties tensor are discussed.

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Acknowledgements

The research has been partially supported by the Centre for Innovation and Transfer of Natural Science and Engineering Knowledge of University of Rzeszów (grant No. WMP/GD-09/2016).

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Authors and Affiliations

  1. Faculty of Mathematics and Natural Sciences, University of Rzeszów, Pigonia 1, 35-959, Rzeszów, Poland

    Piotr Drygaś

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  1. Piotr Drygaś
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Correspondence to Piotr Drygaś .

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Editors and Affiliations

  1. Department of Mathematics & Natural Sciences, Rzeszow University, Rzeszów, Poland

    Piotr Drygaś

  2. Department of Economics, Belarusian State University, Minsk, Belarus

    Sergei Rogosin

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Drygaś, P. (2018). New Approach to Mathematical Model of Elastic in Two-Dimensional Composites. In: Drygaś, P., Rogosin, S. (eds) Modern Problems in Applied Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-72640-3_7

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