Abstract
A new magneto-mechanical coupling model was proposed for ferromagnetic materials under applied stress and in magnetic fields. The proposed model is based on the thermodynamic theory of ferromagnetic materials and Jiles–Atherton–Sablic (J–A–S) theory with respect to the effective magnetic field. Compared with the existing models for ferromagnetic materials, the prediction results of this model are more consistent with the existing experimental results, and the prediction accuracy has been significantly improved. This model can more accurately predict the nonlinear changes in the magnetization and magnetostriction under the applied stress and magnetic field. In addition, the effects of applied stress and magnetic field on magnetization and magnetostriction of ferromagnetic materials are analyzed on the basis of magnetic domain theory. In conclusion, the proposed model can fully describe the effect of applied stress on magnetization, magnetic permeability, and magnetostrictive strain, and the effects of applied stress and magnetic field on total magnetostrictive strain (i.e., the ΔE effect); furthermore, it sufficiently reflect the nonlinear coupling properties of the magnetic field, magnetization, and magnetostriction for ferromagnetic materials under applied stress and in magnetic fields.
Highlights
With the rapid development of science, technology, and economy, the application field of ferromagnetic materials is expanding from a micro-intelligent component to a very large structure, and the demand for quality and quantity is increasing day by day
The inertial resistant effect of stress on the magnetostriction, which is associated with the domain wall shift in ferromagnetic materials, can be described more accurately; θλ = 3δ4/4 is a scale factor related to the growth rate on saturation of λ(σ, M) according to the saturation of domain rotation
By selecting δM correctly, the inertial resistant effect of stress on the effective magnetic field, which is associated with the domain wall shift in ferromagnetic materials, can be described more accurately; θM = δ3θλ is a scale factor related to the growth rate on saturation of the stress-induced effective field Hσ(σ, M) according to the saturation of domain rotation
Summary
With the rapid development of science, technology, and economy, the application field of ferromagnetic materials is expanding from a micro-intelligent component to a very large structure, and the demand for quality and quantity is increasing day by day. Based on the energy theory and previous studies, Shi used the complex magnetostrictive strain to derive a new expression for the effective field caused by elastic stress, and explained and modified the irrationality of plastic equivalent field in Ref. 37 On this basis, he proposed an improved equivalent field model with magneto-elastic-plastic coupling. Based on the analysis of previous studies, it can be concluded that a reasonable combination of the improved general nonlinear magnetostriction relationship and the anhysteretic magnetization relationship based on the effective field theory is necessary for modeling That is, through this modeling, a new constitutive model can be proposed, which can more accurately describe the magnetomechanical behaviors of ferromagnetic materials.
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