The magnetoelastic deformations of soft and hard magnetic materials are evaluated by employing the body force calculating methods incorporating the virtual air-gap concept along with the finite-element method. By introducing the virtual air-gap scheme, we have recently developed generalized methods for calculating body force field such as the generalized magnetic charge force density method, the generalized magnetizing current force density method, and the generalized Kelvin force density method. Unlike the conventional methods resulting in a surface force density, these generalized methods are novel methods of evaluating body force density. These generalized methods yield the actual total force, but their distributions have an irregularity, which seems to be random distributions of body force density. Here, we tested the magnetoelastic deformation in soft and hard magnetic materials by adopting the irregular force density itself. To verify the proposed method, a circular soft magnetic material subjected to an externally applied magnetic field and two squared permanent magnets facing each other were tested
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Lee et al. (2007) studied this question.
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