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  • A plane stress yield surface using bezier curve interpolation in two directions

    8 Jun 2019

    H. Vegter, M. Abspoel, J. Mulder; Tata Steel R&D, IJmuiden 

    Current advanced yield criteria, like BBC2005, Yld2000 and Yld2004, offer significant flexibility and are proven to be convex. The number of coefficients of the function is fixed, which limits the number of experimental results that can be fitted independently. A common approach is to define an error function. The optimal anisotropy coefficients are established by minimizing the error function. The Vegter yield criterion is very flexible with respect to experimental results. It is in fact defined as a function that smoothly connects experimental results, while ensuring a continuous function for the derivative. Fitting is therefore a non-issue; the experimental results are the coefficients for the yield criterion. Second order Bézier curves are used for the interpolation between experimental results. 

    Paper presented at the 38th IDDRG, International Deep-Drawing Research Group conference, IDDRG, University Twente Enschede, Netherlands, 3-7 June 2019, organised by the University of Twente, Enschede and Tata Steel Europe 

    DOI not available