Localization of Electromagnetic Force Based on Material Models

Various candidates are known for electromagnetic stress in material media that all coincide in free space with the Maxwell´s stress tensor. Although the situation provides various total force computation methods it leaves ambiguous the concept of electromagnetic force density. Instead of considering electromagnetic force per unit of volume we restrict the localization to subvolumes of material bodies. This way classical dipole models for the basic material elements yields uniquely defined local electromagnetic force. The approach is demonstrated by computing the magnetic force on a ferromagnetic body in contact with a permanent magnet.