In the last decade, several phenomenological yield criteria have been proposed to improve the modeling predictions about sheet metal-forming processes. In regard to this engineering application, two proprieties of models have been used. The first approach is associated flow rule (AFR), where, the mechanical behaviors of materials involved the plasticity yield function and the plasticity potential function are described by only one function. Otherwise, in the second approach, non-associated flow rule (NAFR), the both functions are decoupled, where the plastic yield function and the plastic potential function are expressed by two distinct mathematical forms. Non- AFR is largely accepted to predict a plastic behavior for metal forming, accurately about à strong mechanical anisotropy. In this study, the quadratic Hill1948 combined with the non-quadratic of Barlat’s (Yld2000) and BBC2005 formalism yield criteria is considered. Finally, the proposed a comparison of three yield contours predicted with Hill48, Yld-2000-2d, BBC2005 with experiment behaviour.