Local force computation in deformable bodies using edge elements

A local force calculation method based on the virtual work principle and the use of the edge element is presented. In the edge elements, the magnetic coenergy or magnetic energy is expressed by the circulation of magnetic field along edges or by the magnetic flux density across facets according to the use of a magnetic formulation or an electric formulation. The magnetic force is obtained by the derivative of magnetic coenergy or energy with respect to configuration parameters while keeping the circulation of magnetic field or the magnetic flux constant. An eddy current problem is taken as a numerical example. The magnetic force is calculated by the present method and by the j×b method. Results are compared with analytical ones. It is shown that a better accuracy is obtained by the present method