A Correspondence Principle for Scission-Induced Stress Relaxation in Elastomeric Components

Abstract

A method is presented for calculating the stress relaxation due to scission in elastomeric components that operate at a fixed deformation while at an elevated temperature. A relationship is established between stresses at different temperatures that is called the correspondence principle for scission/healing materials. Two examples involving cylinders illustrate its use. The first example involves combined tension-torsion, for which an axial force-twisting moment relation is derived, that might be useful in experimental studies to assess the applicability of the correspondence principle. The second example provides a criterion for estimating the lifetime of an annular seal.