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Problèmes variationnels en plasticité parfaite des plaques. (French) Zbl 0554.73030
The behaviour of elastoplastic plates, subjected to orthogonal forces and boundary moments is studied. The proper material of the paper is presented in the following three parts: 1. Variational formulation of the plate problem in Sobolev spaces; 2. Functions spaces with bounded Hessian and 3. Existence of solutions.
Starting from the variational formulation of the problem given by G. Duvaut and J. L. Lions [Les inéquations en mécanique et en physique (1972; Zbl 0298.73001)], and from some results obtained by himself [in ”Thèse de 3e Cycle, Univ. Paris (1982)] for elastic plates, the author extends these results to plastic plates. Then he introduces a fit space for solutions in displacements with bounded Hessian, a natural space for deformations without breaking. Finally, he establishes existence and uniqueness theorems for the solution of the elastoplastic problem.
Reviewer: St.Zanfir

74R20 Anelastic fracture and damage
74K20 Plates
74S30 Other numerical methods in solid mechanics (MSC2010)
49J27 Existence theories for problems in abstract spaces
49J40 Variational inequalities
Full Text: DOI
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