The Jiles-Atherton model was modified so as to relate variations in magnetic properties to grain sizes and dislocation densities. The modified model generally predicted that the coercive field increased with increasing dislocation density and reciprocal of the grain size, while the remanent flux density and permeability at the coercive field decreased with increasing dislocation density and reciprocal of the grain size. It was expected to be possible, using the same model, to model the effects of grain size and dislocation density upon other magnetic parameters such as non-linear harmonics of the flux density, and Barkhausen noise.

Modelling the Effect of Grain Size and Dislocation Density on Hysteretic Magnetic Properties in Steels. M.J.Sablik: Journal of Applied Physics, 2001, 89[10], 5610-3