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Asymptotic analysis of linearly elastic shells: error estimates in the membrane case

Article type: Research Article

Authors: Mardare, Cristinel

Affiliations: Laboratoire d’Analyse Numérique, Tour 55, Université Pierre‐et‐Marie‐Curie, 4, place Jussieu, 75005 Paris, France

Abstract: In this work we consider a family of linearly elastic shells, all having the same middle surface, assumed to be “elliptic”. We give an error estimate between the solution of the three‐dimensional equations and the solution of the two‐dimensional “membrane” shell equations. The proof uses a corrector method.

Journal: Asymptotic Analysis, vol. 17, no. 1, pp. 31-51, 1998

Received 19 June 1997
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Published: 1998
Price: EUR 27.50
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