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Доповіді НАН України. – 2007. – N 7. – С. 65–71.
Упругопластическое состояние цилиндрических оболочек некругового сечения
В.А. Мерзляков
Abstract
A method to determine a thermal-elastic-plastic stress-strain state of
non-circular cylindrical shells has been developed. The mechanical
properties of the material are considered as temperature-dependent.
A non-linear shell theory, which is based on the Kirchhoff–Love hypotheses,
is used. A modified method of successive elastic solutions is applied to
linearize the equations of the theory of simple path-dependent processes of
loading. To verify the proposed method, a solution for a cylindrical shell
that is obtained by the numerical integration along the directrix is
compared with a solution based on the application of the trigonometric
Fourier series in cyclic coordinates.
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