Abstract
Forming limit diagrams (FLD) are calculated based on an extension of previous analyses by Jones and Gillis[4,5,6] and Choiet al. [8,9] They idealized the sheet metal deformation into three phases: (I) homogeneous deformation up to maximum load, (II) deformation localization under constant load, and (III) local necking with a precipitous drop in load. They described the plastic behavior of sheet metals using a generalized quadratic flow law proposed by Jones and Gillis (JG). In the current analysis, Hill’s nonquadratic flow law for sheets having in-plane isotropy{su[101]} is used in conjunction with the three-stage deformation approximation. Calculated FLDs com- pare very favorably to experimentally determined results for aluminum-killed (AK) steel and aluminum alloys 2036-T4, 1100-H19, 5052-H32, 3003-0, and 3004-0. The comparison is fair for the titanium alloy Ti-6A1-4V. The agreement is poor for the strain rate-insensitive aluminum alloys 5052-0, 5052-H241, 5154-H111, and 6061-T4.
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