NUMERICAL IMPLEMENTATION AND ANALYSIS OF A CLASS OF METAL PLASTICITY MODELS COUPLED WITH DUCTILE DAMAGE

This paper deals with a class of rate-independent metal plasticity mod els which exhibit non-linear isotropic hardening, non-linear kinematic hardening (Chaboche-Marquis model) and ductile damage (Lemaitre-Chabo che model). The backward Euler scheme is used to integrate the rate co nstitutive relations. The non-linear equations obtained are solved by the Newton method. The consistent tangent operator is obtained by exac t linearization of the algorithm. Despite the complexity of the consti tutive equations, closed-form expressions are derived, without any app roximations. Analytical, numerical and experimental results are presen ted acid discussed.