Analyse contrastive de modèles incrémentaux et hypoplastiques

In this paper we first establish two necessary and sufficient conditions in order that incremental constitutive equations expressing the strain rate tensor as a function of the Jaumann's derivative of the Cauchy's stress tensor can be inverted under the general form of hypoplastic models when the stress state is located inside the domain bounded by the limit state surface. We are then interested in the physical meaning of these conditions with regard to the incremental response of the material.