2 NEW UNIVERSAL RELATIONS IN NONLINEAR ELASTICITY AND SOME RELATED MATTERS

Two inequalities which for certain deformation classes may be viewed a s universal relations are shown to hold for two distinct subclasses of unconstrained rubberlike solids. The inequalities express the fact th at the mean stress corresponding to any purely distortional deformatio n originating from a given ground state is dominated by (and, respecti vely, dominates) the mean stress in that ground state. Also discussed is a case in which the deformations involved are necessarily homogeneo us.