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Large displacement analysis of two-layer beam-columns taking into account slip and uplift

Thaileng Oeng (LGCGM∕Structural Engineering Research Group, Univ Rennes - INSA de Rennes, Rennes, France)
Pisey Keo (LGCGM∕Structural Engineering Research Group, Univ Rennes - INSA de Rennes, Rennes, France)
Samy Guezouli (LGCGM∕Structural Engineering Research Group, Univ Rennes - INSA de Rennes, Rennes, France)
Mohammed Hjiaj (LGCGM∕Structural Engineering Research Group, Univ Rennes - INSA de Rennes, Rennes, France)

Engineering Computations

ISSN: 0264-4401

Article publication date: 7 February 2023

Issue publication date: 14 February 2023

50

Abstract

Purpose

This article presents a geometrically non-linear finite element formulation for the analysis of planar two-layer beam-columns taking into account the inter-layer slip and uplift.

Design/methodology/approach

The co-rotational method is adopted, in which the motion of the element is decomposed into a rigid body motion and a small deformational one. The geometrically linear formulation can be used in the local frame and automatically be transformed into a geometrically nonlinear one. In co-rotational frame, both layers are assumed to be discretely connected at the element ends. Slips and uplifts are assumed to be small. Consequently, the condition of non interpenetration between the layers can be treated using a node-to-node contact algorithm. The resolution methods such as penalty (PM) and augmented Lagrangian method (ALM) with Uzawa updating scheme can be used.

Findings

The non-penetration condition between the layers of composite beams can be formulated by using contact law. It is found that despite a low convergence rate of augmented Lagrangian method compared to penalty method, the former prevents the unrealistic penetration. Besides, it is shown that the buckling load of the composite beam-column is largely affected by the uplift stiffness of the connectors.

Originality/value

The proposed finite element model is capable of simulating accurately the geometrically non-linear behavior of planar two-layer beam-columns taking into account the inter-layer slip and uplift. Regarding uplift, the non-penetration condition is strictly enforced by considering rigorous contact conditions at the interface. The constraint problem is solved using the penalty method or the augmented Lagrangian method with the Uzawa updating scheme.

Keywords

Acknowledgements

The authors are grateful to the anonymous referees of the journal for their extremely useful suggestions to improve the quality of the article.

Citation

Oeng, T., Keo, P., Guezouli, S. and Hjiaj, M. (2023), "Large displacement analysis of two-layer beam-columns taking into account slip and uplift", Engineering Computations, Vol. 40 No. 1, pp. 265-295. https://doi.org/10.1108/EC-02-2022-0059

Publisher

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Emerald Publishing Limited

Copyright © 2023, Emerald Publishing Limited

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