Monolithic formulation of electromechanical systems within the context of hybrid finite elements

In electromechanical devices, a strong coupling exists between the electromagnetic and displacement field. Due to this strong interaction, a need arises to develop a robust, fully coupled scheme for modeling electromechanical phenomena. With this goal in view, we present a monolithic numerical schem...

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Bibliographic Details
Published in:Computational mechanics 2017-03, Vol.59 (3), p.443-457
Main Authors: Agrawal, Manish, Jog, C. S.
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Computational Science and Engineering
Eddy currents
Electromagnetism
Electromechanical devices
Engineering
Finite element method
Mathematical analysis
Mathematical models
Original Paper
Robustness (mathematics)
Strong interactions (field theory)
Theoretical and Applied Mechanics
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Summary:In electromechanical devices, a strong coupling exists between the electromagnetic and displacement field. Due to this strong interaction, a need arises to develop a robust, fully coupled scheme for modeling electromechanical phenomena. With this goal in view, we present a monolithic numerical scheme for modeling fully coupled electromechanical systems. It is shown in the literature that for structural problems, hybrid elements that are based on a two-field variational formulation are less susceptible to locking and provide a robust numerical strategy especially for shell-type structures. Hence, we extend our monolithic formulation to the hybrid finite element framework. Our monolithic formulation is based on a total Lagrangian framework, where the eddy current and structural equations are solved on the reference configuration. Consistent linearization is performed to ensure a quadratic rate of convergence. The efficacy of the presented algorithm, and especially that of the hybrid formulation is demonstrated with the help of numerical examples.
ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-016-1356-1