Condition d’intégrabilité d’une loi d’hypoélaticité

We propose a geometric reformulation of hypoelasticity in terms of 1-forms (powers) on the manifold of the Riemannian metrics. From this reformulation, we establish a new necessary condition for the integrability of an hypoelasticity law, similar to the Saint-Venant condition for the integrability of a strain field but here in infinite dimension.