Theoretical model of the bending behavior of thin and thick-walled rectangular tubes

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Abstract
Plastic hinges are the deformation mechanism of thin-walled tubes under bending loads. In recent years, there is a tendency to increase the thickness of these tubes as the safety requirements increase as well, but it is well-known in literature that current theoretical models do not have a high correlation in these thicker tubes. The aim of this work is to propose a mathematical model of the bending behavior of thin-walled, medium-thin-walled and thick-walled tubes. Hypotheses are based on the observation and analysis of the results from an experimentally validated numerical model, considering both the bending behavior and the deformed geometry. Comparison between the proposed theory and the numerical simulation shows a higher correlation than Kecman’s model. The proposed model unifies the bending behavior of thin-walled and thick-walled in one single theory.