A new higher order C0 mixed beam element for FGM beams analysis. (1st December 2016)

• Record Type: Journal Article
• Authors: Frikha, A.; Hajlaoui, A.; Wali, M.; Dammak, F.
• Is Part Of: Composites. Volume 106(2016)
• Page Start: 181
• Page End: 189
• Publication Date: 2016-12-01
• Subjects: FGM -- Beam element -- Higher order theory -- Mixed formulation; Composite materials -- Periodicals; Materials science -- Periodicals; Composite materials; Periodicals; Electronic journals; 620.118
• DOI: 10.1016/j.compositesb.2016.09.024
• Languages: English
• ISSNs: 1359-8368

Abstract

Abstract: This paper presents a 2-node, 4 DOF/node beam element based on higher order shear deformation theory for axial–flexural-shear functionally graded material. The theory accounts for parabolic distribution of the transverse shear strain through the thickness of the beam. A discrete constraint is used to get the stress free condition on the top and bottom surface and to avoid the C 1 transverse continuous displacement. A beam element, based on a displacement formulation, is first developed. Next, the numerical treatment of the shear field is improved in a second element using a mixed formulation. Numerical examples, selected from the literature, are illustrated. A good agreement is obtained between numerical results of mixed beam element and the reference solutions. The proposed formulation gives an exact solution at the nodes even for a coarse mesh.