The problem of the equilibrium of a plate reinforced with stiffeners

The problem of the equilibrium of a non-linear plate reinforced with stiffeners is considered. The idea of a generalized solution of the problem as a critical point of the energy functional of an elastic system is introduced and the existence of a generalized solution of the problem is proved. The c...

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Bibliographic Details
Published in:Journal of applied mathematics and mechanics 1999, Vol.63 (1), p.79-83
Main Authors: Vorovich, I.I., Lebedev, L.P.
Format: Article
Language:English
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Summary:The problem of the equilibrium of a non-linear plate reinforced with stiffeners is considered. The idea of a generalized solution of the problem as a critical point of the energy functional of an elastic system is introduced and the existence of a generalized solution of the problem is proved. The convergence of Ritz' method within the framework of this problem and also of the conformal versions of the finite-element method, constructed on the basis of Ritz' method, is validated. Similar problems were discussed in [1–3].
ISSN:0021-8928
0021-8928
DOI:10.1016/S0021-8928(99)00012-X