Comparison of quasi-static and electrohydraulic free forming limits for DP600 and AA5182 sheets

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Abstract

Electrohydraulic forming is a pulsed metal forming process that uses the discharge of electrical energy across a pair of electrodes submerged in fluid to form sheet metal at high velocities. Pulsed metal forming processes, including electrohydraulic forming, have been shown to increase the formability of sheet metals. Although significant formability enhancement has been reported for electrohydraulic die forming, there have been conflicting reports about the formability in electrohydraulic free forming (EHFF). Numerical modeling was used to design sheet metal specimen geometries to generate data for specific regions of the EHFF forming limit curve. The electrohydraulic free forming specimens were formed with the precise amount of input energy to cause a neck at the center of the gauge section. The quasi-static and EHFF forming limit curves for both AA5182-O and DP600 sheets were determined in accordance with the conventional North American formability evaluation method to allow for direct comparison. It was found that the forming limits in EHFF increased by approximately 5% major strain for DP600 and 8% major strain for AA5182, relative to their respective as-received FLC.

Introduction

Reducing vehicle weight, through the use of high strength steels and/or lower density materials such as aluminum (Cheah and Heywood, 2011), is one method that automotive manufacturers can employ to meet contemporary fuel economy targets. One of the barriers that limits the implementation of both high strength and low density materials is their relatively low formability compared to broadly-used mild steels. For this reason, considerable research is being carried out to develop pulsed forming processes, such as electromagnetic forming (EMF) and electrohydraulic forming (EHF). These processes, whose duration is on the order of hundreds of microseconds, are based on the high voltage discharge of capacitors through a conductive coil or a water filled chamber as described by Bruno (1968).

Recent interest in pulsed forming processes was stimulated by the results of Balanethiram and Daehn, 1992, Balanethiram and Daehn, 1994 that indicated that formability could be enhanced by a factor of 5.5 for AA6061-T4, a factor of 3.5 for interstitial free (IF) iron and a factor of three for copper. More recently, Samei et al. (2013) observed that high-velocity impact of the sheet against the die in EHF leads to suppression of void nucleation and growth in dual phase steels and significantly delays the onset of failure. However, analysis of stresses in the die for pulsed pressure forming, performed by Ibrahim et al. (2013) indicated that the high-velocity of the blank required to achieve significant formability improvement causes significant plastic deformation that leads to fracture and accordingly shortens the lifespan of the forming dies.

In the EHF process (Fig. 1), a blank can be progressively formed into its final shape in one tool by multiple discharges of the electrode system in order to extend the life of the die, as described by Mamutov et al. (2015). Similarly, newer electrode systems, as described by Golovashchenko (2014), are capable of lowering the load on the electrode system if the discharges are conducted in multiple steps. However, in such a multi-pulse configuration, the blank is initially formed in free forming conditions without taking advantage of very high strain rates that are generated when the sheet contacts the die at high velocity. In order to produce a safe part with the EHF process, it is necessary to take into consideration the difference in formability of a sheet material when it is deformed in free-forming conditions (EHFF), where the strain rates are rather moderate, and in die-forming conditions (EHDF) where strain rates are much higher and through-thickness compressive and shear stresses have a significant effect.

The formability of sheet materials when there is significant impact between the workpiece and forming tool has been extensively studied, as outlined by Psyk et al. (2011). However, there are conflicting reports about the formability improvement that can be expected in high‐velocity forming when the sheet-die interaction is insufficient or non-existent. Golovashchenko et al. (2013) reported no formability increase in radially split biaxial DP590 blanks that failed to completely fill the die in EHF. EMF experiments on aluminum alloys by Imbert et al. (2005), Oliveira et al. (2005), and Golovashchenko (2007) showed no formability improvement in free forming. In contrast, Dariani et al. (2009) showed moderate formability improvement in both AISI1045 steel and AA6061 aluminum using explosive free forming tests. Further complicating the evaluation of formability is the fact that the majority of the previous high-velocity formability investigations have reported only positive minor strains; this is because this strain state can be easily generated without modifying the blank geometry. To overcome this limitation, Dariani et al. (2009) and Rohatgi et al. (2014) designed specimen geometries to generate strain states with negative and near-zero minor strains in the gauge sections. However, in both attempts, the specimens were susceptible to cracking in the corners of the cut-outs prior to necking in the gauge section, which could result in potential errors.

In light of the incomplete and conflicting formability results that have been reported by several teams of researchers, the objective of the current research was to develop a robust methodology to determine the forming limits of sheet materials deformed in electrohydraulic free forming conditions. First, the quasi-static forming limits of two sheet materials were determined to provide a baseline from which to evaluate any formability changes resulting from EHFF. A numerical model of EHFF was used to design specimens for EHFF tests and then the forming limits of both sheet materials were determined after EHFF tests were conducted. Finally, the quasi-static and EHFF forming limits were compared to identify changes in formability.

Section snippets

Sheet materials

Two sheet materials of significant interest to the automotive industry were selected for this study: DP600 steel and AA5182-O aluminum, each having a nominal thickness of 1.5 mm. The chemistry of the DP600 steel is presented in Table 1, and the spectrographic analysis results for the AA5182-O are presented in Table 2

Uniaxial tension tests were conducted to determine the quasi-static mechanical properties for both AA5182-O and DP600 at a strain rate of 8.3 × 10−4 s−1, and these are summarized in

Quasi-static formability

The Marciniak test (Marciniak et al., 1973) (Fig. 2) was used to determine the quasi-static formability of the two sheet materials in uniaxial tension, plane strain, and biaxial tension (Fig. 3). Although Sriram et al. (2009) showed negligible differences between limiting strains generated using hemispherical punch and a flat punch, the Marciniak test was used here to eliminate some potential process variability due to friction between the punch face and the test piece and, therefore, to allow

Design of EHFF specimens geometry

Prior to conducting EHFF formability tests, it was necessary to design sheet metal blanks that could be used in the EHF testing facility. This was done by developing a finite element model of the EHFF test and carrying out numerous simulations of the EHFF process with various blank geometries.

A combined Lagrangian-Eulerian finite element model of the EHFF process was developed for simulation with the commercial software Abaqus (Fig. 6), and a detailed description of the model is given by

Experimental EHFF formability

A series of electrohydraulic free forming tests were conducted to determine the high-rate formability of the same batches of DP600 and AA5182-O sheets that were used for the quasi-static Marciniak tests. The pulse energy was supplied by a Magnepress pulse unit with 200 μF capacitance, capable of delivering between 3.6 and 22.5 kJ of energy, and it can be seen that the duration of the pulse is approximately 70 μs. The voltage was measured using a voltage probe, the current was measured using a

Discussion

The experimental FLCs determined under quasi-static and high strain rate conditions show that there is a small but measurable formability improvement in EHFF for both AA5182-O and DP600, even in the absence of any dynamic sheet/die interaction. These improvements indicate that a high strain rate is sufficient to cause a small formability improvement that can be attributed to inertia in the plastic flow which delays the onset of instability. The calibrated numerical model of the EHFF process

Summary and conclusions

The interest in studying high-rate forming process is to develop the ability to fully take advantage of formability enhancement in order to promote the use of light-weight and difficult-to-form sheet materials in industrial applications. Pulsed forming processes, such as EHF, can lead to a significant increase in the formability of some sheet materials. In this work, original EHFF specimen geometries were designed using finite element modeling to ensure both a linear strain path and that the

Acknowledgements

This work was funded by NSERC’s Automotive Partnership Canada program (grant # APCPJ 418056-11) and supported by Amino N.A. Corp., ArcelorMittal Dofasco, Canmet Materials Technology Laboratory (NRC), Ford Research & Advanced Engineering and Novelis Inc. Taamjeed Rahmaan from the University of Waterloo is gratefully acknowledged for carrying out all the tensile tests at various strain rates. Lucian Blaga and Dr. Kevin Boyle from Canmet Materials Technology Laboratory (NRC) in Hamilton are kindly

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