A non-linear hardening model based on two coupled internal hardening variables: formulation and implementation

Nelly Point (1) , Silvano Erlicher (2)

1 CNAM - Conservatoire National des Arts et Métiers [CNAM]
2 navier umr 8205 - Laboratoire Navier

An elasto-plasticity model with coupled hardening variables of strain type is presented. In the theoretical framework of generalized associativity, the formulation of this model is based on the introduction of two hardening variables with a coupled evolution. Even if the corresponding hardening rules are linear, the stress-strain hardening evolution is non-linear. The numerical implementation by a standard return mapping algorithm is discussed and some numerical simulations of cyclic behaviour in the univariate case are presented.

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

Nelly Point, Silvano Erlicher. A non-linear hardening model based on two coupled internal hardening variables: formulation and implementation. M. Frémond, F. Maceri. Mechanical Modelling and Computational Issues in Civil Engineering, Springer, pp.201-209, 2005, Lecture Notes in Applied and Computational Mechanics, Volume 23. ⟨hal-00345325⟩