Infinitesimal Rotary Deformations of Surfaces and Their Application to the Theory of Elastic Shells
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.
English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 12, pp 2031-2040.
Citation Example: Fedchenko Yu. S., Leiko S. G. Infinitesimal Rotary Deformations of Surfaces and Their Application to the Theory of Elastic Shells // Ukr. Mat. Zh. - 2003. - 55, № 12. - pp. 1697-1703.