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<p>Ferritic-martensitic dual-phase steels exhibit an excellent balance of high strength and good ductility and are therefore widely used in automotive structural components, construction machinery, and pipeline engineering. The relative proportions of ferrite and martensite phases exert a direct regulatory effect on the material’s mechanical properties, which further undergo evolution in high-temperature service environments. Notably, the mechanical properties of dual-phase steel are inherently correlated with its magnetic hysteresis characteristics. Therefore, investigating how temperature and microstructural composition affect magnetic properties, and developing corresponding physical models, is of great engineering significance. In this study, an improved hysteresis model based on the <i>T</i>(<i>x</i>) framework is proposed for dual-phase steels with varying phase ratios, with explicit consideration of temperature effects. Magnetic hysteresis loops of five dual-phase steel variants with distinct phase compositions were measured over a temperature range from room temperature to 180&#xa0;°C, and a comprehensive analysis of the correlation between hysteresis properties and temperature was conducted. The four parameters of the <i>T</i>(<i>x</i>) model for dual-phase steels with 0% and 30% ferrite content were determined using particle swarm optimization algorithm, respectively. Subsequently, the temperature dependence of these parameters was systematically established via exponential and power functions. For the remaining three dual-phase steel grades, containing 4%, 7%, and 20% ferrite, respectively, the hysteresis model parameters were derived through simulation by introducing a biphasic dose–response function. A comparison between the hysteresis characteristic parameters predicted by the proposed model and experimental data revealed that the average error was less than 0.01%. Finally, a thorough analysis was performed to investigate the influence mechanisms of temperature and metallurgical phases on the five parameters of the model. The impact weights of temperature and metallurgical phase on each parameter were also evaluated systematically.</p>

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Measuring and modeling for depicting the magnetic hysteresis loop in F + M steel under high temperature

  • 期刊论文

  • 发表日期：

    2026年3月18日

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  • Xinhua Zhou,
  • Shurui Zhang,
  • Yujue Wang,
  • Bin Wu,
  • Xiucheng Liu

摘要

Ferritic-martensitic dual-phase steels exhibit an excellent balance of high strength and good ductility and are therefore widely used in automotive structural components, construction machinery, and pipeline engineering. The relative proportions of ferrite and martensite phases exert a direct regulatory effect on the material’s mechanical properties, which further undergo evolution in high-temperature service environments. Notably, the mechanical properties of dual-phase steel are inherently correlated with its magnetic hysteresis characteristics. Therefore, investigating how temperature and microstructural composition affect magnetic properties, and developing corresponding physical models, is of great engineering significance. In this study, an improved hysteresis model based on the T(x) framework is proposed for dual-phase steels with varying phase ratios, with explicit consideration of temperature effects. Magnetic hysteresis loops of five dual-phase steel variants with distinct phase compositions were measured over a temperature range from room temperature to 180 °C, and a comprehensive analysis of the correlation between hysteresis properties and temperature was conducted. The four parameters of the T(x) model for dual-phase steels with 0% and 30% ferrite content were determined using particle swarm optimization algorithm, respectively. Subsequently, the temperature dependence of these parameters was systematically established via exponential and power functions. For the remaining three dual-phase steel grades, containing 4%, 7%, and 20% ferrite, respectively, the hysteresis model parameters were derived through simulation by introducing a biphasic dose–response function. A comparison between the hysteresis characteristic parameters predicted by the proposed model and experimental data revealed that the average error was less than 0.01%. Finally, a thorough analysis was performed to investigate the influence mechanisms of temperature and metallurgical phases on the five parameters of the model. The impact weights of temperature and metallurgical phase on each parameter were also evaluated systematically.