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On the Stress-Strain State of Elliptic Cylinders in the Three-Dimensional Statement

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Applying the finite-element method, we analyze the stress-strain state of three-dimensional solids bounded by cylindrical surfaces with directrices in the form of confocal ellipses. In this case, we use an elliptic coordinate system to deduce the resolving equations. We also compare the displacements in a noncircular cylinder for different values of the semiaxes of ellipses in the cross section.

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Authors and Affiliations

  1. S. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    А. Ya. Grigorenko & S. N. Yaremchenko

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  1. А. Ya. Grigorenko
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  2. S. N. Yaremchenko
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Correspondence to S. N. Yaremchenko.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 62, No. 2, pp. 120–126, April–June, 2019.

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Grigorenko, А.Y., Yaremchenko, S.N. On the Stress-Strain State of Elliptic Cylinders in the Three-Dimensional Statement. J Math Sci 261, 143–150 (2022). https://doi.org/10.1007/s10958-022-05742-x

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  • DOI: https://doi.org/10.1007/s10958-022-05742-x

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