VARIABILITY OF THE MECHANICAL PARAMETERS OF SHEET METALS
Abstract
In this paper the variability of the mechanical parameters of a DC04 [1] steel sheet (0.85 mm thickness) has been studied. In order to analyze the density distribution functions of the mechanical parameters, a total number of 113 uniaxial tensile tests have been performed. Some linear relationships between the parameters have been established. Based on the dispersion of the stress-strain curves, the mechanical coefficients of the Swift hardening law have been determined using a new method. Using this experimental data, the forming limit band has been calculated based on the Monte Carlo technique. In order to determine the forming limit band, a fully implicit Marciniak-Kuczynski model has been used.
Key words: Sheet metal forming, Forming Limit Band, Monte Carlo Analysis.Full Text:
PDFReferences
Col, A., Investigation on press forming scatter origin, Proceedings of the Sixth International ESAFORM Conference on Material Forming, Salerno, Italy, pp. 183-186, 2003
Jansson, T., Nilsson, L., Moshfegh, R., Reliability analysis of a sheet metal forming process using Monte Carlo analysis and metamodels, Journal of Materials Processing Technology 202, pp. 255-268, 2008
Siekirk, J.F., Process variable effects on sheet metal quality, Jornal of Applied Metalworking 4, pp.262-269, 1986
Zhang, W., Shivpuri, R., Investigating reliability of variable blank holder force control in sheet drawing under process uncertainties, Journal of Manufacturing Science and Engineering 130, pp.1-8, 2008
Gerlach, J., Blummel, K., Paul, U., Method to ensure appropriate use of material parameter variations for simulation, Proc. of the ICTP Conf., Yokohama, pp. 841-846, 2002
Karthik, V., Comstock, R. J., Hershberger, D. L., Wagoner, R. H., Variability of sheet formability and formability testing Journal of Materials Processing Technology 121, pp. 350-362, 2002
Till, E.T., Rechberger, F., Influence of scatter of material properties on formability of parts, Proceedings of the IDDRG International Conference, Sindelfingen, pp.236-245, 2004
Carleer, B., Zwickl, T., Robust forming process under the “reality” of process and material scatter, In: New developments in sheet metal forming (ed. K. Siegert), Frankfurt: MATINFO, pp.175-192, 2004
Carleer, B., Sigvant, M., Process scatter with respect to material scatter, In: New developments in sheet metal forming (ed. M. Liewald), Frankfurt: MATINFO, pp.225-239, 2006
Carleer, B., Applicability of stochastical methods in the control of the scatter influence of constitutive parameters Proc. of the FLC Conf., Zürich, pp. 116-122, 2006
Carleer, B., Robust design of sheet metal forming process, In: Sheet metal forming processes. Constitutive modelling and numerical simulation (ed. D. Banabic), Berlin Heidelberg: Springer, pp. 255-267, 2010
Atzema, E., Brouwer, H., Kommelt, P., Long and short term strategy to deal with material property variation in sheet metal forming, Proc. of the IDDRG International Conf., Porto, pp. 121-128, 2006
Atzema, E., Abspoel, M., Kömmelt, P., Lambriks, M., Towards robust simulations in sheet metal forming, International Journal of Material Forming 2, pp.351-354, 2009
Rojek, J., Kleiber, M., Piela, A.,Stocki, R., Knabel, J., “Deterministic and stochastic analysis of failure in sheet metal forming operations”, Steel Grips 2, pp.29-34, 2004
Schleich, R., Sindel, M., Liewald, M., Reverse engineered quality limitations of material batches for sheet metal forming processes, Proc. of the IDDRG International Conference, Olofström, Sweden, pp. 303-311, 2008
Părăianu L., Bichis, I., Banabic D., Variability Analysis of the Mechanical Parameters in order to Determine the Forming Limit Band, Proc. of the ESAFORM AIP Conf, Keynote paper, April 2011, accepted to be published
Marretta, L., Di Lorenzo, R., Influence of material properties variability on springbank and thinning in sheet stamping processes: a stochastic analysis, International Journal Advanced Manufacturing Technology 51, pp. 117-134, 2010
de Souza, T., Rolfe, B., Characterising material and process variation effects on springback robustness for a semi-cylindrical sheet metal forming process, International Journal of Mechanical Sciences 52, pp.1756–1766, 2010
van Minh, H., Sowerby, R., Duncan, J.L., Variability of forming limit curves, International Journal of Mechanical Sciences 16, pp.34-44, 1974
Janssens, K., Lambert, F., Vanrostenberghe, S., Vermeulen, M., Statistical evaluation of the uncertainty of experimentally characterized forming limits of sheet steel, Journal of Materials Processing Technology 112, pp. 174-184, 2001
Strano, M., Colosimo, B.M., Logistic regression analysis for experimental determination of forming limit diagrams, International Journal of Machine Tools & Manufacture 46, pp. 673–682, 2006
Banabic, D., Vos, M, Modelling of the Forming Limit Band –A new Method to Increase the Robustness in the Simulation of Sheet Metal Forming Processes, CIRP Annals - Manufacturing Technology 56, pp. 249-252, 2007
Fyllingen, Ø., Hopperstad, O.S, Langseth, M., Stochastic simulations of forming limit diagrams, Proceedings of the ESAFORM Conference, Zaragoza, pp. 293-296, 2007
Fyllingen, Ø, et al., Estimation of forming limit diagrams by the use of the finite element method and Monte Carlo simulation, Computers and Structures 87, pp. 128–139, 2009
Narisimhan, K., Zhou, D., Wagoner, R.H., Application of the Monte Carlo and finite element methods to predict the scatter band in forming limit strains, Scripta Metallurgica Materialia 26, pp.41–46, 1992
Kim, J., Kang, B-S., Lee, J.K., Statistical evaluation of forming limit in hydroforming process using plastic instability combined with FORM, International Journal Advanced Manufacturing and Technology 42, pp. 53–59, 2009
Părăianu, L., Comşa, S., Bichiş I., Banabic, D., Influence of the Mechanical Parameters on the Forming Limit Curve, ICTP Conf., submitted paper, September 2011
EN 10130:2006. Cold rolled low carbon steel flat products for cold forming - Technical delivery conditions
Banabic, D., et al.,. Sheet Metal Forming Processes. Constitutive modelling and numerical simulation, Springer, Heidelberg, Berlin, 2010
Marciniak, Z., Kuczynski, K., Limit strains in the processes of stretch forming sheet metal, International Journal of Mechanical Sciences 9, pp. 609–612, 1967
Refbacks
- There are currently no refbacks.