Prediction of the mean folding force during the axial compression in foam-filled grooved tubes by theoretical analysis

In this article, some theoretical relations are derived to predict the mean folding force, total absorbed energy per unit of tube length and specific absorbed energy per unit of total mass by the polyurethane foam-filled grooved tubes with circular cross section under the axial compression process. During the folding process, a new theoretical model of deformation is introduced for the polyurethane foam-filler. The theoretical analysis is developed on the basis of the energy method. Some foam-filled grooved specimens were prepared and axially compressed to obtain the experimental diagram of the folding force versus the axial displacement. Comparison of the theoretical predictions with the experimental results showed a good agreement. Then, by considering the interaction effect between the polyurethane foam and the inner wall of grooved tubes, a semi-empirical relation was derived. Predictions along with considering the interaction factor obtained from the semi-empirical relation indicate a better correlation with those of the experiments.

► This article studies folding process in foam-filled circular grooved tubes. ► Mean folding force in polyurethane foam-filled tubes is predicted, theoretically. ► Also, total absorbed energy per unit of tube length is calculated, theoretically. ► The specific absorbed energy by filled grooved tube is predicted, theoretically. ► Comparison of theoretical and experimental results shows a good correlation.