| Issue |
ESAIM: M2AN
Volume 34, Number 5, September/October 2000
|
|
|---|---|---|
| Page(s) | 1069 - 1085 | |
| DOI | https://doi.org/10.1051/m2an:2000116 | |
| Published online | 15 April 2002 | |
On the Asymptotic Analys of a Non-Symmetric Bar
Équipe d'analyse numérique Lyon - Saint-Etienne, UMR 5585,
Université Jean Monnet,
23 rue P. Michelon, 42023 Saint-Etienne Cedex 02, France.
(majd@iris.univ-lyon1.fr)
Received:
23
August
1999
Revised:
8
March
2000
Revised:
11
July
2000
We study the 3-D elasticity problem in the case of a non-symmetric heterogeneous rod. The asymptotic expansion of the solution is constructed. The coercitivity of the homogenized equation is proved. Estimates are derived for the difference between the truncated series and the exact solution.
Résumé
Nous construisons un développement asymptotique de la solution du problème d'élasticité dans une barre non symétrique. Nous obtenons des équations homogénéisées unidimensionnelles dont nous montrons la positivité. Des estimations d'erreur permettent la justification de l'aspect asymptotique de l'approximation.
Mathematics Subject Classification: 65N99
Key words: Elastic bar homogenization.
© EDP Sciences, SMAI, 2000
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