Model of the Magnetostrictive Hysteresis Loop with Local Maximum

Area of Science:

• Materials Science
• Condensed Matter Physics
• Electromagnetism

Background:

• Magnetostrictive hysteresis loops are crucial for understanding magnetic material behavior.
• Existing models may not fully capture the complex mechanisms governing magnetostriction.
• The transition between domain wall movement and domain rotation influences hysteresis.

Purpose of the Study:

• To develop a comprehensive model for magnetostrictive hysteresis loops.
• To incorporate domain wall movement, domain rotation, and the Maxwell-Boltzmann distribution.
• To account for the lift-off phenomenon in magnetostrictive hysteresis.

Main Methods:

• Differential equations were used to describe magnetostriction mechanisms.
• The Maxwell-Boltzmann distribution quantified the transition between magnetization mechanisms.
• The model was validated against experimental magnetostrictive hysteresis loop data.

Main Results:

• The proposed model accurately represents magnetostrictive hysteresis loops, including local maxima.
• Validation was performed on Mn$_{0.70}$Zn$_{0.24}$Fe$_{2.06}$O₄ ferrite and 13CrMo4-5 construction steel.
• High agreement with experimental data was confirmed, with R² values exceeding 0.995 and 0.985.

Conclusions:

• The developed model provides a robust framework for predicting magnetostrictive hysteresis.
• The model's ability to capture complex magnetization dynamics was experimentally verified.
• This work contributes to the accurate characterization of magnetic materials for power and construction applications.