The Baker-Ericksen inequalities for hyperelastic models using a novel set of invariants of Hencky strain

We study a class of models that describes isotropic hyperelastic materials and that is defined using a novel set of invariants for the Hencky strain. For these models, we derive the appropriate form of the Baker-Ericksen inequalities. To illustrate an application, we then use this form of the Baker-Ericksen inequalities to develop a set of specific constitutive restrictions for a model of rubber-like materials proposed in [Criscione, J.C., Humphrey, J.D., Douglas, A.S., Hunter, W.C., 2000. J. Mech. Phys. Solids 48, 2445-2465].