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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2013, Issue 6(107), Pages 100–115 (Mi vsgu380)  
Mechanics

Invariant integrals in equilibrium problem for a Timoshenko type plate with the Signorini type condition on the crack

N. P. Lazarevab

a Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation
b Scientific Research Institute of Mathematics, North-Eastern Federal University, Yakutsk, 677891, Russian Federation
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Abstract: The equilibrium problem for the elastic Timoshenko type plate with a crack is considered. On the crack faces, the non-penetration conditions of inequality type (Signorini type conditions) are given. It is proved that there exist invariant integrals that are equal to the derivative of the energy functional with respect to perturbation parameter.
Keywords: crack, Timoshenko-type plate, variational problem, non-penetration condition.
Received: 13.03.2013
Revised: 13.03.2013
Document Type: Article
UDC: 539.3
Language: Russian
Citation: N. P. Lazarev, “Invariant integrals in equilibrium problem for a Timoshenko type plate with the Signorini type condition on the crack”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 6(107), 100–115
Citation in format AMSBIB
\Bibitem{Laz13}
\by N.~P.~Lazarev
\paper Invariant integrals in equilibrium problem for a Timoshenko type plate with the Signorini type condition on the crack
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2013
\issue 6(107)
\pages 100--115
\mathnet{http://mi.mathnet.ru/vsgu380}
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