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Erschienen in: Engineering with Computers 4/2017

28.02.2017 | Original Article

A mixed node-based smoothed finite element method (MNS-FEM) for elasticity

verfasst von: Leonardo Leonetti, Giovanni Garcea, Hung Nguyen-Xuan

Erschienen in: Engineering with Computers | Ausgabe 4/2017

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Abstract

In this paper, an alternative formulation of the NS-FEM based on an assumed stress field is presented to include drilling rotations. Within each triangular element the displacement field is described by a revised Allman triangle interpolation, while the stress field is assumed as linear or linear reduced on the conflict domain of the background grid. The elastic solution is constructed through the stationarity condition of a constrained mixed Hellinger–Reissner principle. The numerical experiments show that the proposed model performs well in elastic problems, in particular in the case of incompressibility, and takes advantage of the enrichment of the interpolation functions from quadratic contributions to the displacement field. The paper also shows a way to improve the description of the stress field.

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Metadaten
Titel
A mixed node-based smoothed finite element method (MNS-FEM) for elasticity
verfasst von
Leonardo Leonetti
Giovanni Garcea
Hung Nguyen-Xuan
Publikationsdatum
28.02.2017
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 4/2017
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-017-0500-7

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