“…In the advent of a new generation of high strength steels (HSS), this yield criterion has fallen short in predicting ductility and plastic flow in finite strain settings. This has motivated a number of improvements of the original model where additional capabilities have been inserted over the years with successful results (Suh, Saunders and Wagoner, 1996;Rivalin et al, 2000;Tsuru et al, 2008;Iizuka, Hashimoto and Kuwabara, 2014;Iob, Campanelli and Coppola, 2015). Meanwhile, from the fundamental work of Barlat et al (Barlat, Lege and Brem, 1991) and Karafillis and Boyce (Karafillis and Boyce, 1993), various non-quadratic yield functions have been developed to accounting for anisotropy in many materials such as aluminum and steel alloys.…”