Analytical and numerical study of some variants of Koiter's linear model of thin shells.

Angeles Vilariño Moreno

Publicacions Matemàtiques (1996)

  • Volume: 40, Issue: 1, page 215-228
  • ISSN: 0214-1493

Abstract

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Koiter’s linear model for thin shells is obtained from the classic equations of the three-dimensional linear elasticity with the Kirchhoff-Love hypothesis; the variety of formulations of this model is based on the precision of the analysis carried out. In this work we detail these simplifications, and analyse the origin and the error of some variations of the model. We also approximate some of these versions by a nonconforming finite element method and compare the numerical results over some classical bench-marks.

How to cite

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Vilariño Moreno, Angeles. "Analytical and numerical study of some variants of Koiter's linear model of thin shells.." Publicacions Matemàtiques 40.1 (1996): 215-228. <http://eudml.org/doc/41243>.

@article{VilariñoMoreno1996,
abstract = {Koiter’s linear model for thin shells is obtained from the classic equations of the three-dimensional linear elasticity with the Kirchhoff-Love hypothesis; the variety of formulations of this model is based on the precision of the analysis carried out. In this work we detail these simplifications, and analyse the origin and the error of some variations of the model. We also approximate some of these versions by a nonconforming finite element method and compare the numerical results over some classical bench-marks.},
author = {Vilariño Moreno, Angeles},
journal = {Publicacions Matemàtiques},
keywords = {Membranas arquitectónicas; Método de elementos finitos; Modelo lineal; model accuracy; three-dimensional linear elasticity; Kirchhoff-Love hypothesis; nonconforming finite element method},
language = {eng},
number = {1},
pages = {215-228},
title = {Analytical and numerical study of some variants of Koiter's linear model of thin shells.},
url = {http://eudml.org/doc/41243},
volume = {40},
year = {1996},
}

TY - JOUR
AU - Vilariño Moreno, Angeles
TI - Analytical and numerical study of some variants of Koiter's linear model of thin shells.
JO - Publicacions Matemàtiques
PY - 1996
VL - 40
IS - 1
SP - 215
EP - 228
AB - Koiter’s linear model for thin shells is obtained from the classic equations of the three-dimensional linear elasticity with the Kirchhoff-Love hypothesis; the variety of formulations of this model is based on the precision of the analysis carried out. In this work we detail these simplifications, and analyse the origin and the error of some variations of the model. We also approximate some of these versions by a nonconforming finite element method and compare the numerical results over some classical bench-marks.
LA - eng
KW - Membranas arquitectónicas; Método de elementos finitos; Modelo lineal; model accuracy; three-dimensional linear elasticity; Kirchhoff-Love hypothesis; nonconforming finite element method
UR - http://eudml.org/doc/41243
ER -

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