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Infinitesimal Rotary Deformations of Surfaces and Their Application to the Theory of Elastic Shells

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Abstract

We present a variational generalization of the problem of infinitesimal geodesic deformations of surfaces in the Euclidean space E 3. By virtue of rotary deformation, the image of every geodesic curve is an isoperimetric extremal of rotation (in the principal approximation). The results are associated in detail with rotary-conformal deformations. The application of these results to the mechanics of elastic shells is given.

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Authors and Affiliations

  1. Institute of Mathematics, Economy, and Mechanics, Odessa National University, Odessa

    S. G. Leiko & Yu. S. Fedchenko

Authors
  1. S. G. Leiko
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  2. Yu. S. Fedchenko
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Leiko, S.G., Fedchenko, Y.S. Infinitesimal Rotary Deformations of Surfaces and Their Application to the Theory of Elastic Shells. Ukrainian Mathematical Journal 55, 2031–2040 (2003). https://doi.org/10.1023/B:UKMA.0000031663.12899.eb

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  • DOI: https://doi.org/10.1023/B:UKMA.0000031663.12899.eb

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