Computational homogenization in magneto-mechanics
By Ali Javili, G. Chatzigeorgiou, Paul Steinmann. 2013
140 citations recorded by the source corpus.
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.
Subfields: Biomedical Engineering, Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/0e1934a817919bbd668cb7dbf27d0334808a4c59
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In Biomedical Engineering
In Computational Theory and Mathematics
In Mechanics of Materials
Citations in the corpus
- Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method (2016, methodology): “In the last years, multiphysics problems have been addressed using multiscale homogenization methods, such as [8, 95, 118, 122] for thermomechanical problems, [11, 49] for magnetomechanical problems, [56, 77, 104] for electromechanical problems, among others.”