Asymptotic consistency of the polynomial approximation in the linearized plate theory
ESAIM. Proceedings, Tome 2 (1997), pp. 203-213
We establish a partial link between two standard methods for deriving plate models from linearized three-dimensional elasticity: the asymptotic method, known to justify the Kirchhoff-Love model, and the polynomial reduction method. In the polynomial method, the reduced model is obtained by projecting the three-dimensional displacement on a closed subspace of admissible displacements, namely displacements that are polynomial with respect to the thickness variable. Our procedure characterizes minimal polynomial subspaces that are consistent with the Kirchhoff-Love model. In the same time, if a singular perturbation term is dropped in the equations of the lower degree model, we recover a Reissner-Mindlin model.
@article{EP_1997_2_a14,
author = {Jean-Claude Paumier and Annie Raoult},
title = {Asymptotic consistency of the polynomial approximation in the linearized plate theory},
journal = {ESAIM. Proceedings},
pages = {203--213},
year = {1997},
volume = {2},
doi = {10.1051/proc:1997018},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1997018/}
}
TY - JOUR AU - Jean-Claude Paumier AU - Annie Raoult TI - Asymptotic consistency of the polynomial approximation in the linearized plate theory JO - ESAIM. Proceedings PY - 1997 SP - 203 EP - 213 VL - 2 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc:1997018/ DO - 10.1051/proc:1997018 LA - en ID - EP_1997_2_a14 ER -
%0 Journal Article %A Jean-Claude Paumier %A Annie Raoult %T Asymptotic consistency of the polynomial approximation in the linearized plate theory %J ESAIM. Proceedings %D 1997 %P 203-213 %V 2 %U http://geodesic.mathdoc.fr/articles/10.1051/proc:1997018/ %R 10.1051/proc:1997018 %G en %F EP_1997_2_a14
Jean-Claude Paumier; Annie Raoult. Asymptotic consistency of the polynomial approximation in the linearized plate theory. ESAIM. Proceedings, Tome 2 (1997), pp. 203-213. doi: 10.1051/proc:1997018
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