Optimal blank shape prediction considering sheet thickness variation: An upper bound approach

Determination of optimum process parameters for wrinkle free products in deep drawing process

“…To validate the upper bound model its predictions of the punch load and thickness variation versus punch stroke is compared with theoretical and experimental results of Dejmal et al [8] using the same process conditions and are found to be in good agreement [6].…”

“…the velocity field satisfying the condition of normal velocity continuity and volume constancy. Thickness and velocity distribution in each zone is found out [6]. For analysis of flange region (zone-I), the volume flow rate at Section 2 is equated with the volume flow rate at section A (inside zone-I).…”

Optimization of Initial Blank Shape with a Variable Blank Holder Force in Deep-Drawing via Sequential Approximate Optimization

“…It is important to design and optimize the initial blank shape so as to reduce the earing without the geometrical defect. It is also possible to avoid wrinkling and tearing through the forming process with optimum initial blank shape (1)(2)(3)(4)(5)(6)(7)(8) . In order to determine the optimum initial blank shape, many papers with numerical simulation have been published.…”

“…Fazli and Arezoo constructed the algorithm, called the numerical iteration based algorithm, to minimized earing (5) . Agrawal et al employed an upper bound approach to predict the initial blank shape (6) , in which the thickness deviation and earing of formed product were taken into account. Lin and Kwan applied an abductive network with the FEA to predict the initial blank shape for minimizing earing (7) .…”

Accurate deep drawing simulation by combining analytical approaches

“…Kim and Kobayashi [12] developed a method to calculate blank shapes with a field of linear material flow lines described by different parameters, which were determined by experimental results. An upper bound approach to predict optimal blank shapes of axisymmetric deep drawing processes with anisotropic hardening was presented by Agrawal et al [13]. Other approaches were developed with the aim of predicting the required punch force.…”