Interaction body force density in soft magnetic materials with external fields using freezing procedure of magnetization and virtual air-gap scheme

The quantitative interaction body force density was calculated in soft magnetic materials by using a freezing procedure of magnetization and virtual air-gap scheme. When the generalized force calculating methods implemented by using the virtual air-gap scheme are exploited, one has an irregular distribution of body force density. To remove the irregular pattern and evaluate the interaction body force density fields, the self force density field by the frozen magnetization should be withdrawn from the total body force density field.