hal-01423620
https://ensta-paris.hal.science/hal-01423620
doi:10.1007/s00466-016-1370-3
[CEA] CEA - Commissariat à l'énergie atomique
[ENSTA] ENSTA Paris
[CNRS] CNRS - Centre national de la recherche scientifique
[ENSTA_UME] Unité de Mécanique
[CEA-UPSAY] CEA - Université Paris-Saclay
[UNIV-PARIS-SACLAY] Université Paris-Saclay
[CEA-UPSAY-SACLAY] CEA-UPSAY-SACLAY
[ENSTA-SACLAY] ENSTA-SACLAY
[EDF] EDF
A coupled BEM-FEM method for finite strain magneto-elastic boundary-value problems
Nedjar, Boumediene
[SPI.MECA.SOLID] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]
[SPI.ELEC] Engineering Sciences [physics]/Electromagnetism
ART
Magneto-elasticity
Coupled BEM-FEM method
Large deformation
Staggered magneto-mechanics resolution
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.
2016-12-30
en
Computational Mechanics
Springer Verlag