In this note we consider a family of linearly elastic shells, all having the same middle surface, assumed to be uniformly elliptic. We give an error estimate between the solutions of the three-dimensional and two-dimensional models of shells. The proof uses a method of correctors.
Publié le : 1996-07-04
Classification:
Shells,
Elasticity,
three-dimensional model,
asymptotics,
error estimates,
[MATH]Mathematics [math],
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],
[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA],
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],
[PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Mechanics of the solides [physics.class-ph]
@article{hal-01478565,
author = {Mardare, Cristinel},
title = {Error estimates in the asymptotic analysis of linearly elastic shells},
journal = {HAL},
volume = {1996},
number = {0},
year = {1996},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01478565}
}
Mardare, Cristinel. Error estimates in the asymptotic analysis of linearly elastic shells. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-01478565/