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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2005, Volume 46, Issue 2, Pages 170–178 (Mi pmtf2257)  
The effect of transverse pressure on the stability of a plate

A. E. Alekseev

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk
Full-text PDF (200 kB)
Abstract: The stability problem of a centrally compressed infinite plate is solved with allowance for the transverse normal deformation caused by uniform load for various boundary conditions at the edges. The linearized nonlinear equations of elastic deformation of thin plates taking into account transverse shear and transverse normal deformation are used. The obtained critical loads are compared with existing solutions.
Keywords: stability, elasticity, plate, Legendre polynomials.
Received: 14.04.2004
Accepted: 24.06.2004
English version:
Journal of Applied Mechanics and Technical Physics, 2005, Volume 46, Issue 2, Pages 291–298
DOI: https://doi.org/10.1007/s10808-005-0058-9
Bibliographic databases:
Document Type: Article
UDC: 539.3; 534.1
Language: Russian
Citation: A. E. Alekseev, “The effect of transverse pressure on the stability of a plate”, Prikl. Mekh. Tekh. Fiz., 46:2 (2005), 170–178; J. Appl. Mech. Tech. Phys., 46:2 (2005), 291–298
Citation in format AMSBIB
\Bibitem{Ale05}
\by A.~E.~Alekseev
\paper The effect of transverse pressure on the stability of a plate
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2005
\vol 46
\issue 2
\pages 170--178
\mathnet{http://mi.mathnet.ru/pmtf2257}
\elib{https://elibrary.ru/item.asp?id=15175921}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2005
\vol 46
\issue 2
\pages 291--298
\crossref{https://doi.org/10.1007/s10808-005-0058-9}
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