2019
DOI: 10.1016/j.jcp.2019.05.045
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Theory and computation of electromagnetic fields and thermomechanical structure interaction for systems undergoing large deformations

Abstract: For an accurate description of electromagneto-thermomechanical systems, electromagnetic fields need to be described in a Eulerian frame, whereby the thermomechanics is solved in a Lagrangean frame. It is possible to map the Eulerian frame to the current placement of the matter and the Lagrangean frame to a reference placement. We present a rigorous and thermodynamically consistent derivation of governing equations for fully coupled electromagneto-thermomechanical systems properly handling finite deformations. … Show more

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Cited by 16 publications
(4 citation statements)
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“…Moreover, in a further study, the presented framework can be readily applied to more complex structures and materials with coupled fields (piezoelectric, magnetoelectroelastic, etc). A lot of effort has been put to investigate different phenomena in such materials [40,41].…”
Section: Discussionmentioning
confidence: 99%
“…Moreover, in a further study, the presented framework can be readily applied to more complex structures and materials with coupled fields (piezoelectric, magnetoelectroelastic, etc). A lot of effort has been put to investigate different phenomena in such materials [40,41].…”
Section: Discussionmentioning
confidence: 99%
“…For the CAUCHY stress, σ in N/m 2 , we need to define a constitutive equation. An engineer models with that term the aforementioned effects, it is even possible to derive the stress by using principles of thermodynamics, we refer to [8] in small deformations and to [9] for large deformations. The interaction is given by the electromagnetic force density, F F F in N/m 3 , and indeed one of the main challenges relies on the correct definition of this force density.…”
Section: Electromagnetic Momentummentioning
confidence: 99%
“…An engineer models with that term the aforementioned effects, it is even possible to derive the stress by using principles of thermodynamics, we refer to [8] in small deformations and to [9] for large deformations. The known function, f , is a specific body force in N/kg because of the gravity.…”
mentioning
confidence: 99%
“…Theoretical models have also been developed for thermomechanical and electromagneto-thermomechanical problems in the case of large mechanical deforma-tions [20,21,22,23]. Popular numerical implementations combine the Lagrangian approach for the mechanical problem and the Eulerian or arbitrary Lagrangian Eulerian approach for the electromagnetic problem [24,25]. In this paper we consider low frequency electromagnetic problems and solve for a scalar potential formulation only defined in the mechanical domain.…”
Section: Introductionmentioning
confidence: 99%