HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Reports

Multiscale Expansions for Linear Clamped Elliptic Shells

Erwan Faou 1
1 ALADIN - Algorithms Adapted to Intensive Numerical Computing
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes
Abstract : We investigate solutions of the two-dimensional Koiter model and of the three-dimensional linear shell model in the case where the shell is clamped and its mean surface is elliptic. For smooth data, these solutions admit multiscale expansions in powers of ε^1/2 where ε denotes the (half-)thickness of the shell. Both expansions contain terms independent of ε and boundary layer terms exponentially decreasing with respect to r/√ε, with r the distance to the boundary of the mean surface. The expansion of the three-dimensional displacement contains supplementary boundary layers, exponentially decreasing with respect to r/ε like for plates. Using these expansions we obtain sharp estimates between the two models in various norms.
Document type :
Reports
Complete list of metadata

https://hal.inria.fr/inria-00071623
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Tuesday, May 23, 2006 - 6:20:20 PM
Last modification on : Friday, February 4, 2022 - 3:24:01 AM
Long-term archiving on: : Tuesday, February 22, 2011 - 11:59:31 AM

Identifiers

  • HAL Id : inria-00071623, version 1

Citation

Erwan Faou. Multiscale Expansions for Linear Clamped Elliptic Shells. [Research Report] RR-4956, INRIA. 2003. ⟨inria-00071623⟩

Share

Metrics

Record views

105

Files downloads

124