Computational homogenization in magneto-mechanics

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.
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Article dans une revue
International Journal of Solids and Structures, Elsevier, 2013, 50 (25-26), pp.4197-4216. 〈10.1016/j.ijsolstr.2013.08.024〉
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A. Javili, Georges Chatzigeorgiou, P. Steinmann. Computational homogenization in magneto-mechanics. International Journal of Solids and Structures, Elsevier, 2013, 50 (25-26), pp.4197-4216. 〈10.1016/j.ijsolstr.2013.08.024〉. 〈hal-01500815〉



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