Refka , Barbouche - FE approximation for an hybrid Naghdi equations for shells with G 1 -midsurface

arima:4668 - Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, October 11, 2018, Volume 22 - 2016-2018
FE approximation for an hybrid Naghdi equations for shells with G 1 -midsurface

Authors: Refka , Barbouche

The purpose of this present work is to consider an hybrid formulation of Naghdi’s shell with G1-midsurface of the model already introduced by H. Le Dret in [1] and prove its well-posedness. Here, the displacement and the rotation of the normal to the midsurface are respectively given in Cartesian and local covariant or contravariant basis. This new version enables us, in particular, to approximate by conforming finite elements the solution with less degrees of freedom. Numerical tests are given to illustrate the efficiency of our approach.


Source : oai:HAL:hal-01812935v3
Volume: Volume 22 - 2016-2018
Published on: October 11, 2018
Submitted on: July 5, 2018
Keywords: hybrid formulation,finite element approximation,G 1-midsurface,Naghdi's shell model, [ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP]


Share

Consultation statistics

This page has been seen 21 times.
This article's PDF has been downloaded 7 times.