Détermination de l'espace inextensionnel d'une coque linéairement élastique, partiellement encastrée et de surface moyenne uniformément elliptique

Determination of the space of inextensional displacements of a partially clamped, linearly elastic shell with a uniformly elliptic middle surface

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageFrench
Pages (from-to)1315-1320
Number of pages6
Journal / PublicationComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume324
Issue number11
Publication statusPublished - Jun 1997
Externally publishedYes

Abstract

We consider a linearly elastic loaded shell with a "uniformly elliptic" middle surface, clamped along a portion of its lateral boundary. Under some regularity assumptions of the middle surface, we prove that the space of the inextensional displacements is reduced to zero, by using unique continuation results. Consequently, when the thickness of the shell goes to zero, the limit of the average, with respect to the thickness, of the three dimensional displacement vector, solves the "generalized membrane" shell model, under some asymptotic assumptions on the loads.

Citation Format(s)

Détermination de l'espace inextensionnel d'une coque linéairement élastique, partiellement encastrée et de surface moyenne uniformément elliptique. / LODS, Véronique; MARDARE, Cristinel.
In: Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, Vol. 324, No. 11, 06.1997, p. 1315-1320.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review