Axisymmetric deformations of a transverse isotopic cylindrical layer under normal pressure

Authors

  • Svetlana M. Bauer St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation;
  • Andrey L. Smirnov St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation;

Abstract

The deformation of the elastic transverse isotropic layer under normal pressure applied on the outer and inner surfaces is analyzed. For the shell, which is much softer in the transverse direction than in the tangential plane, one gets singularly perturbed boundary value problem. Solution of the problem in zero approximation allows to obtain the asymptotic formula for the change of the relative layer thickness under normal pressure. The asymptotic results well agree with the exact solution. Refs 5. Figs 3.

Keywords:

cylindrical layer, Lame problem, transverse isotropy

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Published

2015-08-01

How to Cite

Bauer, S. M., & Smirnov, A. L. (2015). Axisymmetric deformations of a transverse isotopic cylindrical layer under normal pressure. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2(3), 426–430. Retrieved from https://math-mech-astr-journal.spbu.ru/article/view/11177

Issue

Vol. 2 No. 3 (2015)

Section

Mechanics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.

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