Computational homogenization in magneto-mechanics

Javili A, Chatzigeorgiou G, Steinmann P (2013)

Publication Language: English

Publication Type: Journal article

Publication year: 2013


Publisher: Elsevier

Book Volume: 50

Pages Range: 4197-4216

Journal Issue: 25-26

DOI: 10.1016/j.ijsolstr.2013.08.024


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.

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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.

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