Some links between Cosserat, strain gradient crystal plasticity and the statistical theory of dislocations

Samuel Forest (1)

1 CDM - Centre des Matériaux

A link is established between a phenomenological Cosserat model of crystal plasticity due to (Forest et al. 1997) and recent results obtained in the statistical theory of dislocations by (Groma et al. 2003). The existence of a back-stress related to the divergence of the couple stress tensor is derived. According to several dislocation--based models of single slip, the kinematic hardening modulus is found to be inversely proportional to dislocation density. Phenomenological extensions to multislip situations can be proposed based on these generalized continuum approaches.

Mots clés: strain gradient plasticity; Cosserat; size effect; internal stress; couple stress; crystal plasticity

Domaines: Matériaux

Samuel Forest. Some links between Cosserat, strain gradient crystal plasticity and the statistical theory of dislocations. Philosophical Magazine, 2009, 88, pp.3549-3563. ⟨10.1080/14786430802154815⟩. ⟨hal-00513901⟩