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Zbl 0683.73028
Hadhri, T.
Prise en compte d'une force linéique de frontière dans un modèle de plaques de Hencky comportant une non-linéairté géométrique. (Taking into account a limit line force for a Hencky plate model with geometric nonlinearity). (French)
[J] RAIRO, Modélisation Math. Anal. Numér. 22, No.3, 457-468 (1988). ISSN 0764-583X

The purpose of this paper is to prove the existence of HB (bounded Hessian) transverse displacements and BD (bounded deformations) inplane displacements for a Hencky plate, clamped on part of its boundary and simply supported on the complementary part, and subject to proportional loading. The same problem was addressed before by the author [(*) ibid. 19, 235-283 (1985; Zbl 0626.73036)], with the restriction of null inplane line loading on the simply supported part of the boundary; that restriction is here removed. The paper makes a very hard reading for those who have not (*) handy and, worse, are not familiar with convex analysis as applied to Hencky plasticity.
[P.Podio-Guidugli]

MSC 2000:: *74K20 Plates
74C99 Plastic materials, etc.

Keywords: existence of bounded Hessian transverse displacements; bounded deformation; inplane displacements; clamped on part of its boundary; simply supported on the complementary part; proportional loading; Hencky plasticity

Citations: Zbl 0626.73036

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