A universal relation in torsion for a mixture of solid and fluid
In his study of combined finite extension and torsion of a nonlinear, incompressible, isotropic elastic circular cylinder, \textit{R. S. Rivlin} [Philos. Trans. R. Soc. Lond., A 242, 173-195 (1949; Zbl 0035.415)] 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 a ''universal relation''. In this paper, we extend Rivlin's result to the case of combined extension and torsion of a cylindrical mixture of a nonlinear elastic solid and fluid.
no restriction on fluid content of mixture
state of cylinder range from completely dry to fully saturated
solid and fluid constituents are at rest
fluid can be nonhomogeneously dispersed throughout the mixture
cylindrical mixture of a nonlinear elastic solid and fluid
scientific article; zbMATH DE number 3900275
scientific article