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ETUDE DE LA MAGNETOELASTICITE EN CHAMP MAGNETIQUE FAIBLE ET CONTRAINTES MECANIQUES FORTES

Abstract : Application of mechanical stresses on a ferromagnetic material leads to modification of its magnetic characteristics. This is known as the magnetoelastic effect. Our study focuses on the modeling of this effect on a ferromagnetic hollow cylinder, when the latter is undergoing an internal increasing pressure, in a low magnetic field. The Jiles-Atherton model for the evolution of magnetization with stress is particularly well suited to our problem. This model is given as a differential equation for which no general analytical solution exists. In the case of a thin ferromagnetic shell, the Jiles-Atherton equation can also describe the variation of external magnetic induction with mechanical stress. In the case of our cylinder, it is then possible to exhibit an analytical solution to that equation, expressed in terms of magnetic induction. This solution makes it possible to predict the variation of external induction with pressure. Then, usage of an inverse problem solver leads to the determination of the evolution of magnetization with pressure inside the shell of the cylinder, based on measurements of external induction performed on magnetic sensors located in the vicinity of the shell. An vectorial analytical law is then proposed for the magnetization, and validated using measurements performed on our prototype.
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Submitted on : Friday, December 10, 2010 - 9:41:05 AM
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Antoine Viana. ETUDE DE LA MAGNETOELASTICITE EN CHAMP MAGNETIQUE FAIBLE ET CONTRAINTES MECANIQUES FORTES. Sciences de l'ingénieur [physics]. Institut National Polytechnique de Grenoble - INPG, 2010. Français. ⟨tel-00543772⟩

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