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Variational base and solution strategies for non-linear force-based beam finite elements
Date
2012-04-01
Author
Sarıtaş, Afşin
Soydas, Ozan
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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This paper presents the variational bases for the non-linear force-based beam elements. The element state determination of these elements is obtained exactly from a two-field functional with independent stress and strain fields. The variational base of the non-linear force-based beam elements implemented in a general purpose displacement-based finite element program requires the inclusion of independent displacement field in the formulation. For this purpose, a three-field functional is considered with independent displacement, stress, and strain fields. Various local and global solution strategies come out from the mixed formulation of the beam element, and these are shown to yield the algorithms presented for non-linear force formulation beam elements in literature; thus removing any doubts on their variational bases. The presented numerical examples demonstrate the accuracy and robustness of the solution algorithms adapted for mixed formulation elements over popularly used displacement-based beam finite elements even for large structural systems.
Subject Keywords
Mixed methods
,
Flexibility method
,
Force formulation
,
Solution algorithm
,
Element state determination
,
Finite element
URI
https://hdl.handle.net/11511/36671
Journal
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
DOI
https://doi.org/10.1016/j.ijnonlinmec.2012.01.003
Collections
Department of Civil Engineering, Article
Citation Formats
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BibTeX
A. Sarıtaş and O. Soydas, “Variational base and solution strategies for non-linear force-based beam finite elements,”
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
, vol. 47, no. 3, pp. 54–64, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36671.