A simple model of hysteresis behavior using spreadsheet analysis

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Ehrmann, A.^1,3 ; Blachowicz, T.^2,3

Faculty of Textile and Clothing Technology, Niederrhein University of Applied Sciences, Mönchengladbach

41065, Germany^1

Institute of Physics-Center for Science and Education, Silesian University of Technology, Gliwice

44-100, Poland^2

VIARAM-Virtual Institute for Applied Research on Advanced Materials, Germany^3

关键词: External fields;    Field-dependent magnetization;    Hysteresis behavior;    Hysteresis energies;    Hysteretic systems;    Liquid-solid phase transition;    Simple modeling;    Spreadsheet analysis;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012158/pdf
DOI  :  10.1088/1742-6596/574/1/012158

来源: IOP

【 摘 要 】

Hysteresis loops occur in many scientific and technical problems, especially as field dependent magnetization of ferromagnetic materials, but also as stress-strain-curves of materials measured by tensile tests including thermal effects, liquid-solid phase transitions, in cell biology or economics. While several mathematical models exist which aim to calculate hysteresis energies and other parameters, here we offer a simple model for a general hysteretic system, showing different hysteresis loops depending on the defined parameters. The calculation which is based on basic spreadsheet analysis plus an easy macro code can be used by students to understand how these systems work and how the parameters influence the reactions of the system on an external field. Importantly, in the step-by-step mode, each change of the system state, compared to the last step, becomes visible. The simple program can be developed further by several changes and additions, enabling the building of a tool which is capable of answering real physical questions in the broad field of magnetism as well as in other scientific areas, in which similar hysteresis loops occur.