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

Agrawal, Manish and Jog, C S (2017) Monolithic formulation of electromechanical systems within the context of hybrid finite elements. In: COMPUTATIONAL MECHANICS, 59 (3). pp. 443-457.

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Official URL: http://dx.doi.org/10.1007/s00466-016-1356-1

Abstract

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.

Item Type: Journal Article
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Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 19 May 2017 10:27
Last Modified: 19 May 2017 10:27
URI: http://eprints.iisc.ernet.in/id/eprint/56670

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