Abstract
Theoretical results are presented for the limiting drawing ratios in the deep-drawing of cylindrical cups with a flat-headed punch. The material properties are characterized by the n- value and R- value . It is shown that at least two instability modes are possible. The first mode in the cup wall occurs under plane strain tension and is most likely to apply to annealed materials. The second mode is in the flange under uniaxial tension and this is most likely to apply to materials that have been previously cold-worked. The introduction of this second mode throws light on an area where previously there has been some discrepancy between the results of previous research workers.
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