Endochronic theory, non-linear kinematic hardening rule and generalized plasticity: a new interpretation based on generalized normality assumption

Silvano Erlicher (1) , Nelly Point (2)

1 navier umr 8205 - Laboratoire Navier
2 Dynamique des structures et identification

A simple way to define the flow rules of plasticity models is the assumption of generalized normality associated with a suitable pseudo-potential function. This approach, however, is not usually employed to formulate endochronic theory and non-linear kinematic (NLK) hardening rules as well as generalized plasticity models. In this paper, generalized normality is used to give a new formulation of these classes of models. As a result, a suited pseudo-potential is introduced for endochronic models and a non-standard description of NLK hardening and generalized plasticity models is also provided. This new formulation allows for an effective investigation of the relationships between these three classes of plasticity models.

Mots clés: Thermodynamics of solids; Plasticity; Generalized standard materials; Nonlinear kinematic hardening; Endochronic theory; Generalized plasticity

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

Silvano Erlicher, Nelly Point. Endochronic theory, non-linear kinematic hardening rule and generalized plasticity: a new interpretation based on generalized normality assumption. International Journal of Solids and Structures, 2006, 43, pp.4175-4200. ⟨10.1016/j.ijsolstr.2005.03.022⟩. ⟨hal-00345305⟩