A circular-shell deep-drawing test and an FEM simulation utilizing LS-DYNA with Barlat-Lian anisotropic yield locus (1989) were conducted in order to investigate the occurrence of earring for low-carbon aluminum-killed steel sheet and pure titanium sheet. The simulation method was developed that can accurately estimate the earring pattern of whole 360° circular wall height, where
R-value is supposed to be measured within the range of uniform elongation, in particular for the case of pure titanium. The well known opinion that the earring value is proportional to
ΔR/Rave does not always hold for the whole sheet materials. Despite the fact that the value of
ΔR/Rave of pure titanium is nearly zero, it exhibits large earring. This is considered to stem from the characteristic planer anisotropy of
R-value of pure titanium, namely large
ΔTLave ((
R90 -
R00))/
Rave) together with very small
ΔR. Furthermore, it is interesting to note that the earring in 45° direction was observed experimentally and was reproduced by simulation, despite the fact that pure titanium shows the straight planer anisotropy with the maximum in 90° direction. The optimum
m-values in yield locus for pure titanium and low-carbon aluminum-killed steel, which led to the fairly good reproduction of experimental results, is 8 and 2, respectively. This difference in optimum
m-value between the two metals is presumably related to the difference in the number of slip system; namely the number of active slip system is very limited for pure titanium.
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