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An Efficient Beam Element Based on Quasi-3D Theory for Static Bending Analysis of Functionally Graded Beams

1
Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
2
Center of Excellence for Automation and Precision Mechanical Engineering, Nguyen Tat Thanh University, Ho Chi Minh City 700000, Vietnam
3
Department of Mechanics, Le Quy Don Technical University, Hanoi City 100000, Vietnam
*
Author to whom correspondence should be addressed.
Materials 2019, 12(13), 2198; https://doi.org/10.3390/ma12132198
Received: 13 May 2019 / Revised: 19 June 2019 / Accepted: 21 June 2019 / Published: 8 July 2019
(This article belongs to the Special Issue Advances in Structural Mechanics Modeled with FEM)
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Abstract

In this paper, a 2-node beam element is developed based on Quasi-3D beam theory and mixed formulation for static bending of functionally graded (FG) beams. The transverse shear strains and stresses of the proposed beam element are parabolic distributions through the thickness of the beam and the transverse shear stresses on the top and bottom surfaces of the beam vanish. The proposed beam element is free of shear-looking without selective or reduced integration. The material properties of the functionally graded beam are assumed to vary according to the power-law index of the volume fraction of the constituents through the thickness of the beam. The numerical results of this study are compared with published results to illustrate the accuracy and convenience rate of the new beam element. The influence of some parametrics on the bending behavior of FGM beams is investigated. View Full-Text
Keywords: beam element; Quasi-3D; static bending; functionally graded beam beam element; Quasi-3D; static bending; functionally graded beam
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Nguyen, H.N.; Hong, T.T.; Vinh, P.V.; Thom, D.V. An Efficient Beam Element Based on Quasi-3D Theory for Static Bending Analysis of Functionally Graded Beams. Materials 2019, 12, 2198.

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