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Extension to the Jiles-Atherton Hysteresis Model Using Gaussian Distributed Parameters for Quenched and Tempered
Alasdair Regan1, John Wilson1, Anthony J Peyton1
1Department of Electrical and Electronic Engineering, The University of Manchester, Oxford Road, Manchester M13 9PL, UK.
The Jiles-Atherton model struggles with engineering steel hysteresis loops. Modifying parameters with Gaussian variations improves accuracy for as-quenched and quenched-and-tempered steels.
Area of Science:
- Materials Science
- Condensed Matter Physics
- Electromagnetism
Background:
- The Jiles-Atherton (J-A) model is widely used for ferromagnetic hysteresis due to its efficiency and simplicity.
- However, its applicability to specific engineering steel microstructures requires further investigation.
Purpose of the Study:
- To evaluate the J-A model's accuracy for hysteresis loops in as-quenched and quenched-and-tempered engineering steels.
- To propose modifications to the J-A model for improved representation of experimental data.
Main Methods:
- Experimental measurement of magnetic hysteresis loops for engineering steels.
- Application and analysis of the standard Jiles-Atherton model.
- Modification of J-A model parameters using Gaussian variations with respect to applied magnetic field.
Main Results:
- The standard J-A model fails to accurately capture features like rapid loop narrowing in as-quenched steels and sharp corners in quenched-and-tempered steels.
- Applying Gaussian variations to J-A model parameters significantly improves the fit to experimental major hysteresis loops.
- The enhanced model demonstrates superior performance for engineering steels relevant to the oil and gas industry.
Conclusions:
- The Jiles-Atherton model, in its current form, is insufficient for accurately modeling hysteresis in certain engineering steels.
- Gaussian variations offer a viable method to enhance the J-A model's predictive capabilities for these materials.
- This improved model has practical implications for material characterization in demanding industrial applications.
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