abs corotational hybrid beam

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11th World Congress on Computational Mechanics (WCCM XI) 5th European Conference on Computational Mechanics (ECCM V) 6th European Conference on Computational Fluid Dynamics (ECFD VI) July 20 - 25, 2014, Barcelona, Spain NONLINEAR ANALYSIS OF HYBRID STEEL-CONCRETE BEAM WITH INTERLAYER SLIPS Pisey Keo * , Mohammed Hjiaj * , Quang-Huy Nguyen * , Hugues Somja * * Structural Engineering Research Group, INSA Rennes, 20 avenue des Buttes de Coësmes, CS 70839, F-35708 Rennes Cedex 7, France [email protected] , [email protected] , quang-huy.nguyen@insa- rennes.fr , [email protected] ; www.insa-rennes.fr Key Words: Co-rotational method, Finite elements, Hybrid beam, Interlayer slips. This paper presents a finite element formulation based on co-rotational method for the analysis of composite steel-concrete beam with more than one fully encased steel profile, so- called hybrid beam. The advantage of using the co-rotational approach is that the geometrical linear finite element formulations can be reused and automatically be transformed into geometrical nonlinear formulations. In the present work, the exact stiffness matrix derived from the analytical solution of the governing equations for hybrid beam with interlayer slip is used for local formulation. As a result, the internal node to avoid shear and curvature locking encountered in low order polynomial finite elements is not required. Finally, several numerical applications are presented in order to assess the performance of the proposed formulation.

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This paper presents a finite element formulation based on co-rotational method for the analysis of composite steel-concrete beam with more than one fully encased steel profile, so-called hybrid beam. The advantage of using the co-rotational approach is that the geometrical linear finite element formulations can be reused and automatically be transformed into geometrical nonlinear formulations. In the present work, the exact stiffness matrix derived from the analytical solution of the governing equations for hybrid beam with interlayer slip is used for local formulation. As a result, the internal node to avoid shear and curvature locking encountered in low order polynomial finite elements is not required. Finally, several numerical applications are presented in order to assess the performance of the proposed formulation.

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Page 1: Abs Corotational Hybrid Beam

11th World Congress on Computational Mechanics (WCCM XI)

5th European Conference on Computational Mechanics (ECCM V)

6th European Conference on Computational Fluid Dynamics (ECFD VI)

July 20 - 25, 2014, Barcelona, Spain

NONLINEAR ANALYSIS OF HYBRID STEEL-CONCRETE BEAM

WITH INTERLAYER SLIPS

Pisey Keo

*, Mohammed Hjiaj

*, Quang-Huy Nguyen

*, Hugues Somja

*

*Structural Engineering Research Group, INSA Rennes, 20 avenue des Buttes de Coësmes,

CS 70839, F-35708 Rennes Cedex 7, France

[email protected], [email protected], quang-huy.nguyen@insa-

rennes.fr, [email protected]; www.insa-rennes.fr

Key Words: Co-rotational method, Finite elements, Hybrid beam, Interlayer slips.

This paper presents a finite element formulation based on co-rotational method for the

analysis of composite steel-concrete beam with more than one fully encased steel profile, so-

called hybrid beam. The advantage of using the co-rotational approach is that the geometrical

linear finite element formulations can be reused and automatically be transformed into

geometrical nonlinear formulations. In the present work, the exact stiffness matrix derived

from the analytical solution of the governing equations for hybrid beam with interlayer slip is

used for local formulation. As a result, the internal node to avoid shear and curvature locking

encountered in low order polynomial finite elements is not required. Finally, several

numerical applications are presented in order to assess the performance of the proposed

formulation.