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Steel and Composite Structures
  Volume 17, Number 4, October 2014 , pages 535-548

Torsional analysis of heterogeneous magnetic circular cylinder
Ashraf M. Zenkour

    In this paper, the exact closed-form solutions for torsional analysis of heterogeneous magnetostrictive circular cylinder are derived. The cylinder is subjected to the action of a magnetic field produced by a constant longitudinal current density. It is also acted upon by a particular kind of shearing stress at its upper base. The rigidity of the cylinder is graded through its axial direction from one material at the lower base to another material at the upper base. The distributions of circumferential displacement and shear stresses are presented through the radial and axial directions of the cylinder. The influence of the agnetostrictive parameter is discussed. The effects of additional parameters are investigated.
Key Words
    circular cylinder; torsion; magnetostrictive; heterogeneous
(1) Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
(2) Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt.

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