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Problem of Elasticity and Plasticity for a Polygonal Plate Weakened by n Cyclic Symmetric Holes

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Abstract

We consider a polygonal plate weakened by n cyclic symmetric holes in a stressed state whose plasticity region contains only contours of holes and is not spread inside the plate. We construct solutions of this problem and obtain the equation of unknown contours of holes.

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References

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Authors and Affiliations

  1. Georgian Technical University, Tbilisi, Georgia

    Z. Abashidze

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  1. Z. Abashidze
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Correspondence to Z. Abashidze.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 94, Proceedings of the International Conference “Lie Groups, Differential Equations, and Geometry,” June 10–22, 2013, Batumi, Georgia, Part 1, 2014.

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Abashidze, Z. Problem of Elasticity and Plasticity for a Polygonal Plate Weakened by n Cyclic Symmetric Holes. J Math Sci 216, 497–500 (2016). https://doi.org/10.1007/s10958-016-2905-z

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  • DOI: https://doi.org/10.1007/s10958-016-2905-z

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