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

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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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  1. IMSIA, ENSTA ParisTech, CNRS, CEA, EDF, Université Paris-Saclay, 91762, Palaiseau, France

    B. Nedjar

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Nedjar, B. A coupled BEM-FEM method for finite strain magneto-elastic boundary-value problems. Comput Mech 59, 795–807 (2017). https://doi.org/10.1007/s00466-016-1370-3

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  • DOI: https://doi.org/10.1007/s00466-016-1370-3

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