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Theoretical Calculation of the Instantaneous Folding Force in a Single-Cell Square Column under Axial Loading

Abstract- In this paper, a theoretical formula is derived to predict the instantaneous folding force of a single-cell square column under axial loading. Calculation is based on analys of "Basic Folding Mechanism" introduced by Wierzbicki and Abramowicz to calculate the instantaneous folding force. For this purpose, three mechanisms of energy dissipation were assumed. The formula obtained in this paper, can predicts the instantaneous folding force variations versus folding distance and versus folding angle with good precision and can predict folding force in each time instance instead of the average value. The results of theoretical formula were compared with experimental data and good agreement was observed. Keywords: Instantaneous Force, Folding, Honeycomb, Square Column.