Semi-analytical modeling of composite beams using the scaled boundary finite element method. (March 2016)

• Record Type: Journal Article
• Authors: Jung, Jonathan Daniel; Becker, Wilfried
• Is Part Of: Composite structures. Volume 137(2016)
• Page Start: 121
• Page End: 129
• Publication Date: 2016-03
• Subjects: SBFEM -- Semi-analytical -- Thin-walled beams; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2015.11.021
• Languages: English
• ISSNs: 0263-8223

Abstract

Abstract: The scaled boundary finite element method (SBFEM) is a semi-analytical method in which only the boundary is discretized. The results on the boundary are scaled into the domain with respect to a scaling center which must be "visible" from the whole boundary. For beam-like problems the scaling center can be selected at infinity and only the cross-section is discretized. The current work is devoted to the development of some SBFEM elements for thin-walled beams on the basis of the first order shear deformation theory. The beam sections are considered to be multilayered laminate plates with arbitrary layup. The arbitrary cross-section is discretized with beam-like elements of Timoshenko type. Using the virtual work principle gives a system of differential equations of a gyroscopic type. The solution is given using the matrix exponential function. Knowing the deformation of the beam, the stresses, strains and curvatures can be calculated and a failure criterion can be used to assess the laminate. The SBFEM has been tested and compared with a finite element model and it gives good results.