Buckling and Post-Buckling Behaviours of Adhesively Bonded Aluminium Beams: A Review
Department of Mechanical Engineering, Erciyes University, Kayseri 38039, TurkeyKubra Gul
Institute of Natural and Applied Sciences, Erciyes University, Kayseri 38039, TurkeyY. Erhan Arslan
Institute of Natural and Applied Sciences, Erciyes University, Kayseri 38039, Turkey
Here we present a short review on the buckling and post-buckling behaviours of adhesively bonded joints and recall the fundamental buckling and post-buckling theories and numerical methods. The linear and non-linear post-buckling behaviours of adhesively bonded aluminium beams are also investigated. Namely, the linear buckling analysis (LBA) was performed to determine the eigenvalues corresponding to the different buckling modes of bonded beams and the first eigenvalues were compared with those of one-piece (unbonded) beams. By evaluating the effects of sheet geometrical parameters on the critical buckling loads, the bonded beam configurations having the smallest and highest critical buckling loads were determined. The effects of the large displacements on the critical buckling loads and the post-buckling behaviours of bonded beams were also investigated using the small strain-large displacement (SSLD) theory by implementing the incremental non-linear elastic finite element method. The geometrical imperfection of initially undeformed geometry was considered by applying a negligible perturbation displacement to the initial undeformed geometry of bonded beams. The perturbation displacement value was observed to affect both the critical buckling loads and the load-displacement paths. The critical buckling loads calculated based on SSLD theory were always lower than those from LBA. By considering both material and geometrical non-linearities, the critical buckling loads and load-displacement paths were also analysed in detail for one-piece beams and bonded A16061 aluminium beams. The predicted critical buckling loads were apparently lower in comparison to those of previous two theories, and a considerable softening (collapse) was observed after the critical buckling load was reached, whereas the compressive axial load can still increase with a low slope versus a larger axial displacement increment in the elastic geometrical non-linear analysis based on SSLD theory.