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

Content Provider	Springer Nature Link
Author	Nedjar, B.
Copyright Year	2016
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.
Starting Page	795
Ending Page	807
Page Count	13
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	59
Issue Number	5
e-ISSN	14320924
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-12-30
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Magneto-elasticity Coupled BEM-FEM method Large deformation Staggered magneto-mechanics resolution Theoretical and Applied Mechanics Computational Science and Engineering Classical and Continuum Physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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