A family of bi-potentials describing the non-associated flow rule of pressure-dependent plastic models - Université de Rennes Accéder directement au contenu
Article Dans Une Revue Acta Mechanica Année : 2011

A family of bi-potentials describing the non-associated flow rule of pressure-dependent plastic models

Duy-Lam Dao
  • Fonction : Auteur
Gery De Saxce
  • Fonction : Auteur

Résumé

In this paper, we discuss in detail the derivation of the bi-potential function used to express the flow rule of pressure-dependent non-associated plastic models. In particular, we show that an infinity of equivalent expressions of the bi-potential can be derived for pressure-dependent models. The method consists in applying a transformation to the plastic strain rate or the stress or both to recover the normality rule. Then, the Fenchel inequality is used to derive the bi-potential function. The construction method itself indicates clearly that a class with infinite equivalent expressions of the bi-potential can be derived.

Dates et versions

hal-01068888 , version 1 (26-09-2014)

Identifiants

Citer

Mohammed Hjiaj, Duy-Lam Dao, Gery De Saxce. A family of bi-potentials describing the non-associated flow rule of pressure-dependent plastic models. Acta Mechanica, 2011, 220 (1-4), pp.237-246. ⟨10.1007/s00707-011-0477-z⟩. ⟨hal-01068888⟩
47 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More