On the estimation of the critical pressure for a closed strictly convex shell with non-canonical shape

Authors

  • V. I. Babenko B. I. Verkin Institute for Low Temperature Physics and Engineering of the NAS of Ukraine, Kharkiv
  • M. D. Dunaieska B. I. Verkin Institute for Low Temperature Physics and Engineering of the NAS of Ukraine, Kharkiv

DOI:

https://doi.org/10.15407/dopovidi2016.09.037

Keywords:

critical pressure, non-canonical shape, strictly convex shell

Abstract

An a priori upper bound of the asymptotic value of critical pressure for a closed strictly convex shell with non-canonical shape by its two integral parameters (diameter of the median surface and radius of the ball contained in the shell) is obtained.

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References

Babenko V. I. Reports of National Academy of Sciences of Ukraine, 2009, No 9: 57–61 (in Russian).

Pogorelov A. V. Geometric methods in the nonlinear theory of elastic shells, Moscow: Nauka, 1967 (in Russian).

Babenko V. I. Dokl. Akad. Nauk Ukraine, 1993, No 7: 46–491 (in Russian).

Pogorelov A. V. Bending of surfaces and stability of shells, Kyiv: Naukova Dumka, 1998 (in Russian).

Babenko V. I. Izvestiya AN SSSR.MTT, 1977, No 2: 95–103 (in Russian).

Vekua I. N. Generalized analytic functions, Pergamon Press, Oxford and Addison-Wesley, Reading, MA, 1962.

Babenko V. I. Ukranian geometric coll., Kharkov, Izdat. Kharkov. Gos. Univ, 1972, No 12: 12–22 (in Russian).

Shirshov V. P. Appl. Mech., 1966, 2, No 11: 126-129 (in Russian);

Vlasov V. Z. Selected works in 2 vol., vol.1. Moscow, Izdat. AN SSSR, 1968 (in Russian).

Babenko V. I. Reports of National Academy of Sciences of Ukraine, 2009, No 3: 7–11 (in Russian).

Blascke W. Circle and ball, Moscow: Nauka, 1967 (in Russian).

Rashevskyi P. K. Course of differential geometry, Moscow: GITTL, 1956 (in Russian).

Babenko V. I. Reports of National Academy of Sciences of Ukraine, 2015, No 3: 7–10 (in Russian).

Published

19.11.2024

How to Cite

Babenko, V. I., & Dunaieska, M. D. (2024). On the estimation of the critical pressure for a closed strictly convex shell with non-canonical shape . Reports of the National Academy of Sciences of Ukraine, (9), 37–43. https://doi.org/10.15407/dopovidi2016.09.037