Comparison of Jiles–Atherton and Preisach models extended to stress dependence in magnetoelastic behaviors of a ferromagnetic material

The Jiles–Atherton and the Preisach models are extended and employed in the rate-type constitutive equations of magnetoelastic materials. These models have individual advantages in applicable materials, suitability of numeric calculations, easiness of parameter identification, etc. From the comparison of the induced stress magnetization effects, it is proved that the constitutive equations maintain the original magnetization characteristics and can unifiedly describe the various magnetoelastic behaviors. In particular, it is confirmed that the constitutive equations with the extended Preisach model can express the stress magnetization curve of nickel more accurately than the one with the extended Jiles–Atherton model.