Strongly Coupled Electromagnetic–Mechanical Problem With Analytical Solution

Strongly coupled electromagnetic–mechanical (ME) problems are presently very relevant for academic research and industrial technology and product development. Although the algorithm basis for such coupled simulations is rather extensive and available in numerous publications, verification of the obtained results is very difficult and relies mainly on expensive, tedious, and time-consuming measurements. The main reason for this is an evident deficiency of reference examples with analytical solutions (ASs) in the available literature. To mitigate the problem, this article defines two strongly coupled electromagnetic–ME problems and presents their AS in detail. The obtained ASs were cross-validated by comparing them against an in-house developed multiphysics finite element method (FEM) solver and an excellent agreement between the two was found.