On Poro-hyperelastic Torsion

Abstract

The paper examines the torsion of a solid cylinder composed of a fluid-saturated porous medium with a hyperelastic porous skeleton. The general formulation of the problem is followed with applications to special cases where the strain energy function for the skeletal behavior is described by either a neoHookean or an Ogden-type hyperelastic behavior. The analytical developments involve the numerical solution of the governing equations followed by a computational treatment of the problems using the ABAQUS™ finite element code. The time-dependent mechanics of the twisted cylinder is examined for the instantaneous short-term behavior as well as the long-term behavior when the excess fluid pressures generated during the application of a finite twist have dissipated.