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A Boundary Integral Formulation of the Plane Problem of Magneto-Elasticity for an Infinite Cylinder in a Transverse Magnetic Field
Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
- 1 Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
- 2 Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
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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.
KeywordsPlane ProblemsMagnetoelasticityTransverse Magnetic FieldBoundary Integral Method
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