Torsion of cylindrically poroelasic circular shaft with radial inhomogeneity .some exact solutions for extruder

Subject Areas : Solid Mechanics

mohammad farid khansanami ¹ , Faranak Khansanami ²

1 - Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran
2 - Department of Engineering, Zanjan University, Zanjan, Iran

Received: 2017-03-14 Accepted : 2017-04-03 Published : 2017-01-01

Keywords: Torsion, FGM and poroelastic shaft, Radial inhomogeneity, extruder,

Abstract :

Torsion of elastic and poroelastic circular shaft of radially inhomogeneous, cylindrically orthotropic materials is studied with emphasis on the end effects example for extruder. To examine the conjecture of Saint-Venant’s torsion, we consider torsion of circular shaft with one end fixed and the other end free on which tractions that results in a pure torque are prescribed arbitrarily over the free end surface. Exact solutions that satisfy the prescribed boundary conditions point by point over the entire boundary surfaces are derived in a unified manner for cylindrically orthotropic shafts with or without radial inhomogeneity and for their coun- terparts of Saint-Venant’s torsion. Stress diffusion due to the end effect is examined in the light of the exact solutions.The present study enables us to assess Saint-Venant’s principle as applied to anisotropic, non-homogeneous poroelastic bodies in general and to evaluate the stress diffusion in torsion of radially inhomogeneous, cylindrically orthotropic cylinders in particular. The following conclusions can be drawn from the analysis.