On the numerical implementation of elasto-plastic constitutive equations for metal forming

Tudor Balan (1)

1 LCFC - Laboratoire de Conception Fabrication Commande

This paper is devoted to the time integration of elasto-plastic constitutive models, in view of their implementation in finite element software for the simulation of metal forming processes. Both implicit and explicit time integration schemes are reviewed and presented in algorithmic form. The incremental kinematics are also treated, so that the proposed algorithms can be used stand-alone, outside a finite element code, or they can serve to implement non-classical incremental kinematics. Full algorithms are provided, along with examples of application to non-monotonic loading for a mild steel and a dual phase steel.

Mots clés: constitutive algorithm; elasto-plasticity; time integration

Domaines: Mécanique [physics.med-ph]; Matériaux et structures en mécanique [physics.class-ph]; Mécanique des matériaux [physics.class-ph]

Tudor Balan. On the numerical implementation of elasto-plastic constitutive equations for metal forming. Revue roumaine des sciences techniques. Série de mécanique appliquée, 2015, 60 (1-2), pp.89-104. ⟨hal-01556661⟩