Combined Tension-Torsion of a Cylindrical Mixture of an Elastic Solid and Fluid.

摘要

In his study of combined finite extension and torsion of a nonlinearly elastic cylinder, Rivlin established a relation for the torsional stiffness which depends only on the axial force, the axial extension ratio and the radius of the undeformed cylinder, in the case of small twist. The relationship did not depend on the structure of the stored energy function and is hence termed a Universal Relation. In this paper the authors extend Rivlin's result to the case of combined extension and torsion of a cylindrical mixture of a nonlinearly elastic solid and fluid. (Author)