The deep drawing process is widely used in industry because it allows the production of parts with reduced weight and good mechanical properties. However, the deep drawing process of non-cylindrical shapes still relies on experimental and trial and error methods, leading to high costs and long development times. The deformation mechanism of non-cylindrical cup drawing is theoretically very complex because of the large elasto-plastic stress and strain, and contact conditions between the tools and the sheet metal involved. In particular, several attempts have been tried in the past to perform theoretical and numerical analysis of rectangular cups. This paper presents an analysis of the allowable deep drawing height (DDH) of rectangular cups. The aim of this paper is twofold: 1) to analyze and estimate the allowable DDH of rectangular parts using theoretical, numerical (FEM) and experimental methods, and 2) identify the theoretical expression that predicts with the highest accuracy the allowable DDH of rectangular parts. A new theoretical expression for predicting this DDH is also proposed. To perform the study FEM is used together with the experimental data from industrial parts. The results show the accuracy of each theoretical expression in predicting the allowable DDH of rectangular parts.

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