Computational homogenization in magneto-mechanics

Javili, A., Chatzigeorgiou, G. and Steinmann, P. (2013) Computational homogenization in magneto-mechanics. International Journal of Solids and Structures, 50(25-26), pp. 4197-4216. (doi: 10.1016/j.ijsolstr.2013.08.024)

Abstract

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.

• Item Type: Articles
• Additional Information: Supported by funding by the ERC Advanced Grant MOCOPOLY.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Steinmann, Professor Paul
• Authors: Javili, A., Chatzigeorgiou, G., and Steinmann, P.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: International Journal of Solids and Structures
• Publisher: Elsevier
• ISSN: 0020-7683
• ISSN (Online): 1879-2146
• Published Online: 10 September 2013