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Formulation intégrale de volume magnétostatique et calcul des densités de force magnétique : Application au couplage magnéto-mécanique

Abstract : This study deals with the modelling of the magnetomechanical coupling, which is due to magnetic forces. A multiphysic modelling tool, which combines a volume integral formulation for the magnetostatic problem and a finite element formulation for the mechanical problem, is developed. In the first part, the resolution of linear and nonlinear magnetostatic problems using a volume integral formulation with the scalar potential is studied. The advantages and disadvantages of this formulation are discussed, including the assembly and storage of full matrices. To overcome this limitation, the adaptive cross approximation method is used to reduce the memory and time costs. The second part is dedicated to the implementation of the magnetomechanical coupling. The virtual work method and the Maxwell's tensor are first introduced in the framework of the volume integral formulation in order to compute the local and global magnetic forces. The resolution of the mechanical problem with the finite element method is then discussed. A first test of the modelling of a micro-actuator using the developed tool is proposed.
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https://theses.hal.science/tel-00990628
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Submitted on : Tuesday, May 13, 2014 - 4:46:52 PM
Last modification on : Friday, March 25, 2022 - 9:40:39 AM
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  • HAL Id : tel-00990628, version 1

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Anthony Carpentier. Formulation intégrale de volume magnétostatique et calcul des densités de force magnétique : Application au couplage magnéto-mécanique. Sciences de l'ingénieur [physics]. Université de Grenoble, 2013. Français. ⟨NNT : ⟩. ⟨tel-00990628⟩

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