Some geometrically nonlinear problems of deformation of inelastic plates and shallow shells

I. Yu. Tsvelodub

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

Abstract: This paper considers geometrically nonlinear problems of deformation of elastoplastic shallow shells and viscoelastoplastic plates where it is required to find kinematic loads for a given time interval such that a shell (plate) acquires prescribed residual deflections after these loads are applied and then removed. For some constraints, the correctness of the corresponding formulations (uniqueness of the solution and its continuous dependence on the problem data) is shown and iterative solution methods are justified.

Keywords: inverse problems, elastoplastic shallow shell, viscoelastoplastic plate, elastic “unbending”, residual deflection.

UDC: 539.37

Received: 17.06.2004

 English version: Journal of Applied Mechanics and Technical Physics, 2005, 46:2, 275–280

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