Analysis of sheet metal formability through isotropic and kinematic hardening models

Marilena C. Butuc (1) , Cristian Teodosiu (2) , Frédéric Barlat (1, 3) , José J. Gracio (1)

1 Campus Universitário de Santiago
2 RIKEN - RIKEN - Institute of Physical and Chemical Research [Japon]
3 POSTECH - Pohang University of Science and Technology

The present paper aims at analysing the sheet metal formability through several isotropic and kinematic hardening models. Specifically, a special attention is paid to the physically-based hardening model of Teodosiu and Hu (1995), which accounts for the anisotropic work-hardening induced by the microstructural evolution at large strains, as well as to some more conventional hardening models, including the isotropic Swift strain-hardening power law, and the Voce saturation strain-hardening law, combined with a non-linear kinematic hardening described by the Armstrong-Frederick law. The onset of localized necking is simulated by an advanced sheet metal forming limit model which connects, through the Marciniak-Kuczinsky analysis, the hardening models with the anisotropic yield criterion Yld2000-2d (Barlat et al., 2003). Both linear and complex strain paths are taken into account. The selected material is a DC06 steel sheet. The validity of each model is assessed by comparing the predicted forming limits with experimental results carefully obtained on this steel. The origin of discrepancy in the predicted results using different hardening models is thoroughly analyzed.

Mots clés: Constitutive laws; Anisotropic; Hardening; Kinematic; Limit analysis; Numerical methods

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Marilena C. Butuc, Cristian Teodosiu, Frédéric Barlat, José J. Gracio. Analysis of sheet metal formability through isotropic and kinematic hardening models. European Journal of Mechanics - A/Solids, 2011, 30 (4), pp.532. ⟨10.1016/j.euromechsol.2011.03.005⟩. ⟨hal-00753961⟩