Abstract

Forming limit diagram (FLD) is one of the formability criteria which is a plot of major strain versus minor strain. In the present study, Gurson-Tvergaard-Needleman (GTN) model is used for FLD prediction of aluminum alloy 6061. Whereas correct selection of GTN parameters’ is effective in the accuracy of this model, anti-inference method and numerical simulation of the uniaxial tensile test is used for identification of GTN parameters. Proper parameters of GTN model is imported to the finite element analysis of Nakazima test for FLD prediction. Whereas FLD is dependent on forming history and strain path, forming limit stress diagram (FLSD) based on the GTN damage model is also used for forming limit prediction in the numerical method. Numerical results for FLD, FLSD and punch’s load-displacement are compared with experimental results. Results show that there is a good agreement between the numerical and experimental results. The main drawback of numerical results for prediction of the right-hand side of FLD which was concluded in other researchers’ studies was solved in the present study by using GTN damage model.

Highlights

  • Aluminum alloys are extremely used in different industries such as automotive and aircraft. 6061 alloy is one of these alloys with high strength and corrosion resistance which are used in the automotive, aircraft, highway and marine applications

  • The results showed that the shear modified GTN model improved the modeling accuracy of fracture over the original GTN model under shear loading conditions

  • GTN damage model was used for Forming limit diagram (FLD) and forming limit stress diagram (FLSD) prediction of 6061 aluminum alloy

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Summary

Introduction

Aluminum alloys are extremely used in different industries such as automotive and aircraft. 6061 alloy is one of these alloys with high strength and corrosion resistance which are used in the automotive, aircraft, highway and marine applications. Three different damage criteria of Cockcroft and Latham [13], Tresca and GTN were used in the FE simulation of the tensile test Their results showed that fracture angle decreases with the number of rolling passes increasing. Safdarian et al [14] used different numerical criteria for FLD prediction of tailor welded blanks (TWBs) of interstitial-free steel sheets These numerical methods were Müschenborn-Sonne forming limit diagram, forming limit diagram criterion and ductile fracture criterion (DFCcrt) and numerical method of the second derivative of thinning. Peng et al [22] used different model for failure prediction in the hydroforming of sheet metals Their results showed that the M-K model and the GTN-Thomason model are revealed to be able to accurately predict the ultimate pressure and the height at the onset of failure by comparing to the experimental results. FLD, FLSD and punch’s load-displacement of FEM are compared with experimental results

Experimental materials and properties
Experimental set up for FLD
GTN model
Parameters identification of GTN model
Parameters identification of GTN
Load–displacement curves
Conclusion
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