Modeling Deformations in Magnetic Systems—A Finite-Element Implementation

We consider a magnetomechanical model, where the effect of deformation on magnetic field is considered. In the given method, the equilibrium magnetic field is represented and solved in the undeformed reference configuration-a procedure that requires the deformation map to be determined not only in material bodies but also in their surroundings. We use linear elasticity to determine the deformation in material bodies, whereas the extension of deformation to the surroundings of material bodies is performed according to the Laplace equation. The use of the Laplace equation for the extension leads to the improved convergence behavior of the coupled model in comparison with a model, which is widely employed in the literature. Another aspect of the given model is its coordinate system invariance, allowing arbitrary coordinates to be used for magnetomechanical computations.