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On the Problem of Cylindrical Bending of a Transtropic Layer Weakened by a Cavity

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We describe the mathematical tools that enable one to determine some specific features of the solutions of three-dimensional problems of bending for a low-modulus transtropic layer with through defects. These features follow from the analysis of spectral problems for ordinary differential equations appearing as a result of the application of the Lur’e–Vorovich method of homogeneous solutions. We also study a model problem of bending for a layer weakened by a cylindrical cavity.

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Authors and Affiliations

  1. Donetsk National University, Donetsk, Ukraine

    H. V. Erzhakov & V. A. Shaldyrvan

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  1. H. V. Erzhakov
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  2. V. A. Shaldyrvan
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 56, No. 4, pp. 131–139, October–December, 2013.

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Erzhakov, H.V., Shaldyrvan, V.A. On the Problem of Cylindrical Bending of a Transtropic Layer Weakened by a Cavity. J Math Sci 208, 425–435 (2015). https://doi.org/10.1007/s10958-015-2457-7

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  • DOI: https://doi.org/10.1007/s10958-015-2457-7

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