Analysis for Deep-Drawing of Cylindrical Shell based on Total Strain Theory and Some Formability Tests

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An analysis, based on the total strain theory combined with octahedral shear theory, for the deep-drawing of cylindrical shell is developed in this paper. For this purpose the actual process is traced as exactly as possible, the local variations of thickness and strain hardening being taken into consideration. The calculated values for strain distributions and punch forces are compared with experimental results on quasi-isotoropic phosphor bronze sheets drawn by plane die and conical die. Good agreements are obtained. Furthermore, calculated values thus obtained are compared with results by approximate formulas which have been suggested already by other investigators. It is revealed that the strain distributions over the flange region are nearly independent of sheet materials. Furthermore, according to results of investigations related to formability testing, it has been confirmed that the diameter of the flange at the point of fracture of blank having the the diameter exceeding its drawing limit, formed with a conical die can properly be used in comparing the formability qualities of materials.
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