We estimate the difference between the solutions of the three-dimensional model and the two-dimensional Naghdi model for a thin shell. This estimation, which depends on the thickness of the shell, is obtained under the assumption that the shell is clamped along its entire lateral face.
Publié le : 2001-07-04
Classification:
shells,
Naghdi model,
elasticity,
error estimates,
Koiter model,
[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-01478707,
author = {Lods, V\'eronique and Mardare, Cristinel},
title = {Error estimates between the linearized three-dimensional shell equations and Naghdi's model},
journal = {HAL},
volume = {2001},
number = {0},
year = {2001},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01478707}
}
Lods, Véronique; Mardare, Cristinel. Error estimates between the linearized three-dimensional shell equations and Naghdi's model. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-01478707/