Force Density Calculation in Maxwell

Maxwell solvers can be coupled with Ansys Mechanical either one-way or two-way. Maxwell solvers provide volumetric force density/surface force density as load to the mechanical solvers. Force density is calculated by Maxwell stress tensor.

Maxwell stress tensor for magnetic fields:

where

The force on a surface can be calculated as

where n is outward normal direction of the face.

The surface force density is calculated from

where A is the area of the surface.

The volumetric force density in an element is calculated from

where V is volume of the element, and N is the number of surfaces (sides in 2D) of this element.