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]. 2004 Elsevier Ltd. All rights reserved.