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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2007 Volume 48, Issue 5, Pages 104–107 (Mi pmtf2079)

On an inverse problem of bending of a physically nonlinear inhomogeneous plate

I. Yu. Tsvelodub

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

Abstract: An elastic plate with a physically nonlinear inclusion of an arbitrary shape is considered. This plate is subjected to pure bending under the action of transverse forces and bending moments applied at the external boundary of the plate. There are no loads distributed over the surface. The problem of finding external actions that provide a necessary uniform moment state in the inclusion, i.e., prescribed constant moments and curvatures, is formulated and solved.

Keywords: pure bending of an inhomogeneous plate, physically nonlinear inclusion of an arbitrary form, uniform field of moments.

UDC: 539.3

Received: 06.10.2006


 English version:
Journal of Applied Mechanics and Technical Physics, 2007, 48:5, 708–711

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