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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2005, Volume 46, Issue 2, Pages 151–157
(Mi pmtf2255)
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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.
Received: 17.06.2004
Citation:
I. Yu. Tsvelodub, “Some geometrically nonlinear problems of deformation of inelastic plates and shallow shells”, Prikl. Mekh. Tekh. Fiz., 46:2 (2005), 151–157; J. Appl. Mech. Tech. Phys., 46:2 (2005), 275–280
Linking options:
https://www.mathnet.ru/eng/pmtf2255 https://www.mathnet.ru/eng/pmtf/v46/i2/p151
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