A Boundary Integral Formulation of the Plane Problem of Magneto-Elasticity for an Infinite Cylinder in a Transverse Magnetic Field

Moustafa Saber Abou-Dina, Ahmed Fouad Ghaleb

Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt.

DOI: 10.4236/eng.2013.54052                

Abstract

The objective of this work is to present a boundary integral formulation for the static, linear plane strain problem of uncoupled magneto-elasticity for an infinite magnetizable cylinder in a transverse magnetic field. This formulation allows to obtain analytical solutions in closed form for problems with relatively simple geometries, in addition to being particularly well-adapted to numerical approaches for more complicated cases. As an application, the first fundamental problem of Elasticity for the circular cylinder is investigated.

Keywords

Plane Problems; Magnetoelasticity; Transverse Magnetic Field; Boundary Integral Method

Conflicts of Interest

The authors declare no conflicts of interest.

References

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