A GBT-based mixed finite element for curved thin-walled members with circular axis

Nuno Peres; Rodrigo Gonçalves; Dinar Camotim

doi:10.1016/j.tws.2019.106462

A GBT-based mixed finite element for curved thin-walled members with circular axis

Nuno Peres, Rodrigo Gonçalves, Dinar Camotim

DEC - Departamento de Engenharia Civil

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

In this paper a mixed finite element based on Generalised Beam Theory (GBT) is proposed to analyse the first-order behaviour of naturally curved beams with circular axis (without pre-twist) and having deformable thin-walled cross-sections. The element applies the assumed strain concept to the longitudinal strains terms that are not present in straight members and cause locking. The additional strain DOFs are condensed out and therefore the stiffness matrix of the mixed element shares the DOFs of the standard (displacement-based) GBT finite element. The superior predictive capacity of the proposed mixed element with respect to the standard element with reduced integration is demonstrated through several examples involving complex global-distortional-local cross-section deformation.

Original language	English
Article number	106462
Journal	Thin-Walled Structures
Volume	146
DOIs	https://doi.org/10.1016/j.tws.2019.106462
Publication status	Published - Jan 2020

Keywords

Bars with circular axis
Cross-section deformation
Generalised beam Theory (GBT)
Mixed finite elements
Thin-walled curved members

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title = "A GBT-based mixed finite element for curved thin-walled members with circular axis",

abstract = "In this paper a mixed finite element based on Generalised Beam Theory (GBT) is proposed to analyse the first-order behaviour of naturally curved beams with circular axis (without pre-twist) and having deformable thin-walled cross-sections. The element applies the assumed strain concept to the longitudinal strains terms that are not present in straight members and cause locking. The additional strain DOFs are condensed out and therefore the stiffness matrix of the mixed element shares the DOFs of the standard (displacement-based) GBT finite element. The superior predictive capacity of the proposed mixed element with respect to the standard element with reduced integration is demonstrated through several examples involving complex global-distortional-local cross-section deformation.",

keywords = "Bars with circular axis, Cross-section deformation, Generalised beam Theory (GBT), Mixed finite elements, Thin-walled curved members",

author = "Nuno Peres and Rodrigo Gon{\c c}alves and Dinar Camotim",

note = "The first author gratefully acknowledges the financial support of FCT (Fundacao para a Ciencia e a Tecnologia, Portugal), through the doctoral scholarship SFRH/BD/120062/2016.",

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T1 - A GBT-based mixed finite element for curved thin-walled members with circular axis

AU - Peres, Nuno

AU - Gonçalves, Rodrigo

AU - Camotim, Dinar

N1 - The first author gratefully acknowledges the financial support of FCT (Fundacao para a Ciencia e a Tecnologia, Portugal), through the doctoral scholarship SFRH/BD/120062/2016.

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N2 - In this paper a mixed finite element based on Generalised Beam Theory (GBT) is proposed to analyse the first-order behaviour of naturally curved beams with circular axis (without pre-twist) and having deformable thin-walled cross-sections. The element applies the assumed strain concept to the longitudinal strains terms that are not present in straight members and cause locking. The additional strain DOFs are condensed out and therefore the stiffness matrix of the mixed element shares the DOFs of the standard (displacement-based) GBT finite element. The superior predictive capacity of the proposed mixed element with respect to the standard element with reduced integration is demonstrated through several examples involving complex global-distortional-local cross-section deformation.

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