Article
Ufa Mathematical Journal
Volume 4, Number 4, pp. 151-156
The problem of deflection shapes of a simply supported plate under a longitudinal strain
Sharafutdinova G.G.
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In this paper the approximate study of the problem of the bifurcation behaviour of an elastic plate with the change of the longitudinal compressive strain is carried out. A new scheme which allows to determine the critical values of the strain at which the plate takes a stable curvilinear equilibrium is constructed. The scheme also leads to an asymptotic formula which describes the nonlinear deflections of the plate when passing through the critical strain.