Publication at Faculty of Mathematics and Physics |
2004
Abstract
The proposed model combines tendency for minimization of Gibbs' magnetic energy with the rate-independent maximum-dissipation mechanism that reflects the macroscopical quantity of energy required to change one pole of a magnet to another. The microstructure is described on a ``mesoscopical'' level in terms of Young measures.
Such mesoscopical, distributed-parameter model is formulated (and, after a suitable regularization), analyzed, discretized, implemented, and eventually tested computationally on a uni-axial magnet. The desired hysteresis ``macroscopical'' response is demonstrated together with the influence of material properties.