Experimental verification results of real and equivalent drawbeads numerical simulations

Experimental verification results of real and equivalent drawbeads numerical simulations

Zbigniew Zimniak, Dawid Rutkowski

Institute of Production Engineering and Automation, Wroclaw University of Technology,ul. Łukasiewicza 5, 50-371 Wroclaw, Poland.

DOI:

https://doi.org/10.7494/cmms.2010.1.0277

Abstract:

In sheet metal forming, drawbeads play an important role in material flow control. In this paper the results of simulations of drawbeads and equivalent drawbeads are experimentally verified. Strain and thickness variations were measured for a rectangular drawpiece. FEM modelling was done with commercial software LS-DYNA using explicit and implicit FEA codes. Three-dimensional numerical simulations were run using Hill’s 1948 anisotropic yield function and the Barlat-Lian (1989) constitutive model. Calculations relating to the gravitational force loading and the drawing process were done using the explicit method and the spring back simulation was carried out using the implicit method. The numerical simulation results were verified through the measurement of principal strains in selected cross sections of the drawpiece. As regards the principal strain distributions and the final drawpiece dimensions, good agreement between the experimental measurements and the FEM calculations was obtained. The best agreement for real drawbeads results occurred under the Barlat-Lian criterion. In the model an equivalent drawbead is represented by a line on the surface of the tools, along which the prescribed drawbead restraint force (DBRF) were exerted. This means that calculating the drawbead restrain force from formula and describing the sheet material by means of the Barlat-Lian criterion one can successfully use equivalent drawbeads.

Cite as:

Zimniak, Z., & Rutkowski, D. (2010). Experimental verification results of real and equivalent drawbeads numerical simulations. Computer Methods in Materials Science, 10(1), 52 – 57. https://doi.org/10.7494/cmms.2010.1.0277

Article (PDF):

Keywords:

Deep drawing, Drawbead, Equivalent drawbead, Finite element method

References:

Barlat, F., Lian, J., 1989, Plastic behavior and stretchability of sheet metals, a yield function for orthotropic sheet under plane stress condition, Int. J. Plasticity, 5, 51-63.

Chen, F., Liu, J., 1997, Analysis of an equivalent drawbead model for finite element simulation of a stamping process, Int. J. Mach. Tools Manufact, 37(4), 409-423.

Firat, M., 2008, An analysis of sheet drawing characteristics with drawbead elements, Computational Mater. Science, 41,266-274.

Hill, R., 1948, A theory of the yielding and plastic flow of anisotropic metals, Proc. Roy. Soc. London.

Liu, G., Lin, Z., Bao, Y., 2002, Optimization design of draw-bead in drawing tools of autobody cover panel, J. Eng. Mater. Technol, 124, 278-285.

LS-DYNA, 2006, Theory Manual, Compiled by Hallquist O.J., Livermore Software Technology Corporation.

Marczewski, A., Sosnowski, W., 2003, Analiza wrażliwości w zastosowaniu do optymalizacji położenia progów ciągowych, Materiały Konferencji FiMM, nt. Fizyczne i Matematyczne Modelowanie Procesów Obróbki Plastycznej, Oficyna Wydaw. P. Warsz., Warszawa, 163-168 (in Polish).

Sheriff, N.M., Ismail, M.M., 2008, Numerical design optimisation of drawbead position and experimental validation of cup drawing process, J. Mater. Process. Technol, 206, 83-91.

Shuhui, L., Zhongqin, L., Weili, X., Youxia, B., 2002, An improved equivalent drawbead model and its application, J. Mater. Process. Technol, 121, 308-312.

Song, J.H., Huh, H., Kim, S.H., Park, S.H., 2005, Springback reduction in stamping of front side member with a response surface model, Proc. Conf. NUMISHEET, eds, Smith, L.M., Smith Lorenzo, M., Zhang, L., Detroit, 303-308.

Sun, G., Li, G., Gong, Z., Cui, X., Yang, X., Li, Q., 2010, Multiobjective robust optimization method for drawbead de¬sign in sheet metal forming, Materials and Design, 31, 1917-1929.

Weidemann, C, 1978, The blank holder action of drawbeads, Proc. of the l0th Biennial IDDRG Congress, eds, Charles van Riper III, Colorado Plateau, 79-85.

Zimniak, Z., 2006, Computer aided sheet metal forming process design, Computer Methods in Materials Science, 6(1), 33-41.