Unlocking the Secrets of Hysteresis: A Breakthrough in Simulating Magnetic Fields

Tuesday 24 June 2025

Scientists have made a significant breakthrough in understanding and simulating the complex behavior of magnetic fields, particularly when it comes to materials that exhibit hysteresis – a phenomenon where the material’s magnetic properties change depending on its past history.

Hysteresis is a crucial aspect of many magnetic materials, such as those used in electric motors, generators, and transformers. However, modeling and simulating these materials has proven challenging due to the non-linear nature of their behavior.

A team of researchers has developed a new method that uses an incremental vector hysteresis model to describe the relationship between magnetic fields and fluxes at every material point. This approach allows for the simulation of complex magnetic phenomena, such as saturation and anisotropy, with greater accuracy than previous methods.

The researchers used this new method to solve a range of problems related to nonlinear magnetostatics, including the calculation of magnetic fields in materials with hysteresis. They demonstrated that their approach can produce accurate results even when dealing with complex geometries and large-scale simulations.

One of the key advantages of this new method is its ability to capture the memory effect exhibited by hysteresis materials. This means that the material’s past behavior can influence its current magnetic properties, making it more challenging to model and simulate.

The researchers used a combination of theoretical analysis and numerical experiments to validate their approach. They found that their method is not only accurate but also computationally efficient, making it suitable for large-scale simulations.

This breakthrough has significant implications for the development of new materials and technologies. For example, it could be used to design more efficient electric motors and generators, or to improve the performance of magnetic resonance imaging (MRI) machines.

The study’s findings have far-reaching potential in a wide range of applications, from engineering to medicine. By better understanding and simulating the behavior of hysteresis materials, scientists can develop new technologies that are more efficient, effective, and reliable.

In addition to its practical applications, this research also contributes to our fundamental understanding of magnetic phenomena. The incremental vector hysteresis model offers a new perspective on the complex interactions between magnetic fields and materials, shedding light on the intricate mechanisms that govern these processes.

Cite this article: “Unlocking the Secrets of Hysteresis: A Breakthrough in Simulating Magnetic Fields”, The Science Archive, 2025.

Magnetic Fields, Hysteresis, Magnetic Materials, Electric Motors, Generators, Transformers, Nonlinear Magnetostatics, Saturation, Anisotropy, Magnetic Resonance Imaging (Mri)

Reference: Herbert Egger, Felix Engertsberger, “A semi-smooth Newton method for magnetic field problems with hysteresis” (2025).

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