Iterative global-local methods to consider the local deformation effects in the analysis of thin-walled beams
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Thin walled members are one of the most widely used structural elements in modern structures. Beam-type finite elements, which are conventionally used to model these members, cannot capture cross-sectional deformation. On the other hand, the use of two-dimensional shell-type elements leads to computationally uneconomical models that cannot be adopted for common engineering practice. The aim of this study is to develop a numerical method to incorporate the effect of local deformation on the global response of a thin-walled beam. For this purpose, the Iterative Global-local Method is developed in which beam elements are used as the global model while two-dimensional shell elements are placed at critical regions to constitute the local model. The two models are synchronised within each computational iteration via a kinematically appropriate mathematical link. The Iterative Global-local Method is developed for elastic and elasto-plastic material response, for fibre-reinforced composite laminates, for pipes and curved thin-walled members. The accuracy and efficiency verification of the method is verified through comparisons with detailed finite element modelling and test data from the literature.
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