Title: Finite Element Computational Homogenization of Nonlinear Multiscale Materials in Magnetostatics
Authors: Niyonzima, I ×
Sabariego, Ruth
Dular, P
Geuzaine, C #
Issue Date: Feb-2012
Publisher: Published by the Institute of Electrical and Electronics Engineers for the Magnetics Group
Series Title: IEEE Transactions on Magnetics vol:48 issue:2 pages:587-590
Abstract: The increasing use of composite materials in the technological industry (automotive, aerospace) requires the development of effec- tive models that account for the complexity of the microstructure of these materials and the nonlinear behaviour they can exhibit. In this paper we develop a multiscale computational homogenization method for modelling nonlinear multiscale materials in magnetostatics based on the finite element method. The method solves the macroscale problem by getting data from certain microscale problems around some points of interest. The missing nonlinear constitutive law at the macroscale level is derived through an upscaling from the microscale solutions. The downscaling step consists in imposing a source term and determining proper boundary conditions for microscale problems from the macroscale solution. For a two-dimensional geometry, results are validated by comparison with those obtained with a classical brute force finite element approach and a classical homogenization technique. The method provides a good overall macroscale response and more accurate local data around points of interest.
ISSN: 0018-9464
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Non-KU Leuven Association publications
× corresponding author
# (joint) last author

Files in This Item:
File Description Status SizeFormat
12ieeetrmagv48n2_niyonzima_nolinear_multiscale_postprint.pdfOA article Published 706KbAdobe PDFView/Open


All items in Lirias are protected by copyright, with all rights reserved.

© Web of science