Computational homogenization in magneto-mechanics

Journal article

Publication Details

Author(s): Javili A, Chatzigeorgiou G, Steinmann P
Journal: International Journal of Solids and Structures
Publisher: Elsevier
Publication year: 2013
Volume: 50
Journal issue: 25-26
Pages range: 4197-4216
ISSN: 0020-7683
Language: English


This work presents a geometrically nonlinear homogenization framework for composites with magneto-mechanical behavior whereby the composite can be subject to large deformation processes. The magneto-mechanical governing equations in the material description for both the overall body and its microstructure are presented, and the connections between micro- and macro-scale field variables are identified. Considering periodic boundary conditions for the microscopic unit cell, a finite element framework for computing the macroscopic field variables and the effective tangent moduli is developed. The proposed methodology is utilized to study a variety of two- and three-dimensional numerical examples. In particular, the behavior of fiber and particle reinforced composites with magneto-mechanical constitutive laws are illustrated. Finally, a specific physically motivated problem of a magnetorheological elastomer, consisting of a polymer matrix and iron particles, under finite deformation and applied magnetic field is analyzed and the results are given for several combinations of deformation modes and applied magnetic fields. © 2013 Elsevier Ltd. All rights reserved.

FAU Authors / FAU Editors

Chatzigeorgiou, Georgios
Lehrstuhl für Technische Mechanik
Javili, Ali
Lehrstuhl für Technische Mechanik
Steinmann, Paul Prof. Dr.-Ing.
Lehrstuhl für Technische Mechanik

How to cite

Javili, A., Chatzigeorgiou, G., & Steinmann, P. (2013). Computational homogenization in magneto-mechanics. International Journal of Solids and Structures, 50(25-26), 4197-4216.

Javili, Ali, Georgios Chatzigeorgiou, and Paul Steinmann. "Computational homogenization in magneto-mechanics." International Journal of Solids and Structures 50.25-26 (2013): 4197-4216.


Last updated on 2018-18-07 at 20:23