Please use this identifier to cite or link to this item: http://dspace.univ-ouargla.dz/jspui/handle/123456789/6470
Title: UN PROBLEME DE COQUES ELASTIQUES MINCES AVEC PROBLEME LIMITE A ENERGIE NON BORNEE
Authors: D. A. CHACHA
I. MERABET
Keywords: Thin shell
elliptic surface
internal layers
limit problem
singular perturbation
Issue Date: 2007
Series/Report no.: volume 1 numéro 2 AST 2007;
Abstract: We study in this work a singular perturbation problem depending on a small parameter ! 0 , which characterizes the balance of a linearly elastic thin shell of thickness 2 and elliptic middle surface, within the framework of the theory of Koiter. For ! 0 this problem is well posed in the space of admissible displacements. On the other hand if " 0 the limit problem is ill-posed for a choice of singular loadings, i.e., which are not in the dual of the space of the limit problem. Thus the deformation energy of the shell tends towards the infinite one and it concentrates in internal layers. Then we determine the structure of these internal layers and we justifie the convergence.
Description: AST Annales des Sciences et Technologie
URI: http://dspace.univ-ouargla.dz/jspui/handle/123456789/6470
ISSN: 2170-0672
Appears in Collections:volume 1 numéro 2 AST 2007

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