Justification of the asymptotic analysis of elastic plates, I. The 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: The method of asymptotic expansions used by P.G. Ciarlet and his co-workers for justifying the two-dimensional Kirchhoff Love theory of linearly or nonlinearly elastic plates relies in a crucial way on appropriate sea lings of the components of the displacement and appropriate assumptions on the data (Lamé constants and applied forces). We give here a complete justification of these scalings and assumptions on the data in the linearized case.

DOI: 10.3233/ASY-1994-9104

Journal: Asymptotic Analysis, vol. 9, no. 1, pp. 47-60, 1994