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.
Complete list of metadatas

https://hal-ensta-paris.archives-ouvertes.fr//hal-01423620
Contributor : Boumediene Nedjar <>
Submitted on : Friday, December 30, 2016 - 4:42:46 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:06 AM

Identifiers

Citation

Boumediene Nedjar. A coupled BEM-FEM method for finite strain magneto-elastic boundary-value problems. Computational Mechanics, Springer Verlag, 2016, ⟨10.1007/s00466-016-1370-3⟩. ⟨hal-01423620⟩

Share

Metrics

Record views

172