Flexural analysis of laminated composite and sandwich beams using a four-unknown shear and normal deformation theory

Abstract

This paper presents flexural analysis of composite and sandwich beams using a quasi-3D theory, which considers simultaneously three effects such as normal and shear deformation as well as anisotropy coupling. The axial and transverse displacements are assumed to be cubic and parabolic variation through the beam depth. In order to solve problem, two-node C 1 beam elements with six degrees of freedom per node are developed. Numerical examples are carried out and the results are compared with those available in literature to validate the accuracy of the present theory. The effects of fibre angle, lay-up and span-to-height ratio on displacements and stresses are studied. Some new results, which can be useful for future references, are also given.

Effects of transverse normal strain on bending of laminated composite beams

“…For numerical approaches, the finite element method is widely used for analysis of static and vibration of LC beams [6,[29][30][31][32][33][34][35][36][37][38]. For analytical methods, Navier procedure [3] is the simplest one for analysis of LC beams, however this approach is only suitable for simply-supported boundary conditions (BCs).…”

Flexure Analysis of Laminated Composite and Sandwich Beams Using Timoshenko Beam Theory

“…A refined formulation ZigZag theory is presented for the analysis of laminated composite beams (RZT) [13]. A four unknown shear and normal deformation theory is used to flexural analysis of laminated composite and sandwich beams in [14]. Analytical, experimental and numerical methods have been used to explore the static behaviours of composite and sandwich beams.…”

“…The SCF depends on the geometric and material parameters of the beam but the loading and boundary conditions are also important to determine the SCF [2][3]. Many higher order beam theories (HBT) including quasi-3D ones have been used to study the bending behaviour of composite beams and only some of them [4][5][6][7][8][9][10][11][12][13][14] are referenced here. In [4], a set of theoretical models which include all the secondary effects such as the transverse shear stress, shear strains and their variation across the cross section is developed.…”

Bending analysis of composite and sandwich beams using Ritz method

“…On the other hand, TBT cannot satisfy the zero traction boundary conditions on the top and bottom surfaces of the beam. Many higher order beam theories (HBT) including quasi-3D ones have been developed to study the bending behaviour of composite beams and only some of them [4][5][6][7][8][9][10][11][12][13][14] are referenced here. HBT does not require a shear correction factor, satisfies the zero traction boundary conditions and importantly allows having better prediction of static, dynamic and buckling responses of composite beams.…”