Utilization of the quadratic Hill yield function to model Ti-6Al-4V within multiplicative finite strain kinematics

In the contribution at hand, the quadratic Hill yield function is extended to a finite strain, multiplicative kinematic framework. Furthermore, it is expanded by a novel combination of linear and exponential hardening. The formulation is derived in a consistent manner. Subsequently, the capabilities to model Ti-6Al-4V in a realistic manner are demonstrated, considering the anisotropy in plastic material behavior, which is induced by additive manufacturing. Therefore, different tensile tests from the literature are simulated, and a validation is carried out. Finally, the significance of the anisotropy is demonstrated in a numerical example. The maximal force obtained in the simulation is shown to be significantly different, if the building direction is considered. • Novel combination of a linear and an exponential hardening law. • Extension of quadratic Hill yield function to multiplicative finite strain kinematics. • Validation for Ti-Al6-4V produced by additive manufacturing. • Realistic modeling of anisotropic plasticity in finite strains.