A numerical method based on Taylor series for bifurcation analyses within Föppl-von Karman plate theory

Article dans une revue avec comité de lecture
Auteur
TIAN, Haitao
178323 Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]
POTIER-FERRY, Michel
178323 Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]
ccABED-MERAIM, Farid
178323 Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]

URI
http://hdl.handle.net/10985/17484
DOI
10.1016/j.mechrescom.2017.12.006
Date
2018
Journal
Mechanics Research Communications

Résumé

A new numerical technique for post-buckling analysis is presented by combining the Asymptotic Numerical Method (ANM) and the Taylor Meshless Method (TMM). These two methods are based on Taylor series, with respect to a scalar load parameter for ANM and with respect to the space variables for TMM. The advantage of ANM is an adaptive step length and this is very efficient near bifurcation points. The specificity of TMM is a quasi-exact solution of the PDEs inside the domain, which leads to a strong reduction of the number of degrees of freedom (DOFs).

Fichier(s) constituant cette publication

Nom:
LEM3_MRC_2017_TIAN.pdf
Taille:
3.350Mo
Format:
PDF
Description:
Article principal
Voir/Ouvrir

Cette publication figure dans le(s) laboratoire(s) suivant(s)