Abstract:
The main propositions of Rabotnov’s two-layer model of a shell are given. It is shown that the Rabotnov’s functional can be obtained from the mixed variational principle of creep theory. The notion of critical time is introduced and a procedure for obtaining an explicit formula for it using a variational equation is described.
Citation:
Yu. M. Volchkov, “Rabotnov’s two-layer model of a shell and critical time of shell buckling during creep”, Prikl. Mekh. Tekh. Fiz., 51:4 (2010), 198–206; J. Appl. Mech. Tech. Phys., 51:4 (2010), 615–622
\Bibitem{Vol10}
\by Yu.~M.~Volchkov
\paper Rabotnov’s two-layer model of a shell and critical time of shell buckling during creep
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2010
\vol 51
\issue 4
\pages 198--206
\mathnet{http://mi.mathnet.ru/pmtf1634}
\elib{https://elibrary.ru/item.asp?id=15227920}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2010
\vol 51
\issue 4
\pages 615--622
\crossref{https://doi.org/10.1007/s10808-010-0079-x}
Linking options:
https://www.mathnet.ru/eng/pmtf1634
https://www.mathnet.ru/eng/pmtf/v51/i4/p198
This publication is cited in the following 1 articles:
Yu. M. Volchkov, “Rabotnov's Variational Equation of a Two-Layer Shell Model and the Critical Buckling Time of Reinforced Shells Under Creep”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 121 (2010), 72–78