Justification of the asymptotic analysis of elastic plates, II. The non-linear case

Article type: Research Article

Authors: Miara, B.^;

Affiliations: Ecole Supérieure d'Ingénieurs en Electrotechnique et Electronique, Département de Mathématiques, 2, Boulevard Blaise Pascal, 93160 Noisy-Le-Grand, France

Note: [] Correspondence to: B. Miara, Ecole Supérieure d'Ingénieurs en Electrotechnique et Electronique, Département de Mathématiques, 2, Boulevard Blaise Pascal, 93160 Noisy-Le-Grand France.

Note: [] This work is part of the project “Junctions in Elastic Multi-Structures” of the program “S.C.I.E.N.C.E.” of the Commission of the European Communities (contract No SC1*043-C(EDB)).

Abstract: In the first part of this study, where the linear case was considered, the appropriate scalings of the components of the displacement and the appropriate assumptions on the data (Lamé constants and applied forces) that are an essential step for deriving Kirchhoff-Love plate models by an asymptotic analysis, were justified up to a multiplicative factor. The study of the nonlinear case undertaken here, provides a full justification of this asymptotic analysis by “freezing” this dangling factor.

DOI: 10.3233/ASY-1994-9202

Journal: Asymptotic Analysis, vol. 9, no. 2, pp. 119-134, 1994