A coupled BEM-FEM method for finite strain magneto-elastic boundary-value problems

Abstract : The first objective of this contribution is the formulation of nonlinear problems in magneto-elasticity involving finite geometry of the surrounding free space. More specifically for the magnetic part of the problem, the surrounding free space is described by means of a boundary integral equation for which boundary elements are used that are appropriately coupled with the finite element discretization used inside the material. The second objective is to develop a numerical strategy to solve the strongly coupled magneto-mechanics problem at hand. Herein we provide a staggered scheme consisting of a magnetostatic resolution employing the above coupled BEM-FEM procedure at fixed deformation, followed by a mechanical resolution at fixed magnetic fields. This decoupled method renders the whole solution strategy very appealing since, among others, the first BEM-FEM resolution is linear for some prototype models, and the remaining mechanical resolution is analogous to nowadays classical nonlinear elastostatic problems in the finite strain range. Some nonlinear boundary-value problems are simulated to demonstrate the applicability of the proposed framework.
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https://hal-ensta.archives-ouvertes.fr/hal-01423620
Contributeur : Boumediene Nedjar <>
Soumis le : vendredi 30 décembre 2016 - 16:42:46
Dernière modification le : mardi 6 mars 2018 - 15:56:07

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Boumediene Nedjar. A coupled BEM-FEM method for finite strain magneto-elastic boundary-value problems. Computational Mechanics, Springer Verlag, 2016, 〈http://link.springer.com/article/10.1007/s00466-016-1370-3〉. 〈10.1007/s00466-016-1370-3〉. 〈hal-01423620〉

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