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Semi-Analytical Solution for Torsion of a Micropolar Beam of Elliptic Cross Section

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Integral Methods in Science and Engineering

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Abstract

In this paper we use generalized Fourier series to obtain the solution for a boundary value problem describing the torsion of an elliptic micropolar beam. We provide an example demonstrating the effect of material microstructure.

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References

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Authors and Affiliations

  1. University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    S. Potapenko

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  1. S. Potapenko
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Correspondence to S. Potapenko .

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Editors and Affiliations

  1. Department of Mathematics, The University of Tulsa, Department of Mathematics, Oklahoma, Oklahoma, USA

    Christian Constanda

  2. Department of Mathematics, Karlsruhe Institute of Technology, Department of Mathematics, Karlsruhe, Germany

    Andreas Kirsch

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Potapenko, S. (2015). Semi-Analytical Solution for Torsion of a Micropolar Beam of Elliptic Cross Section. In: Constanda, C., Kirsch, A. (eds) Integral Methods in Science and Engineering. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-16727-5_42

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