Document Type: Research Paper
Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran
Department of Engineering, Zanjan University, Zanjan, Iran
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.