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<p>This study develops a strain-compensated Arrhenius constitutive model for AZ31B magnesium alloy by expressing the Arrhenius parameters as fourth-order polynomials of strain, achieving a correlation coefficient of <i>R</i> = 0.9431 and a mean absolute error of 10.78&#xa0;MPa. The model is validated against independent hot deformation data and then implemented as the flow stress input in a thermomechanically coupled finite element model of six-high reversing rolling. Under the present modeling assumptions, a parametric finite element investigation is conducted to quantify the effects of rolling temperature, rolling speed, and the front–back tension differential Δ<i>T</i> = <i>T</i><sub><i>f</i></sub> − <i>T</i><sub><i>b</i></sub> on the widthwise distribution of the rolling direction residual stress component σ_RD, where <i>T</i><sub><i>f</i></sub> and <i>T</i><sub><i>b</i></sub> denote the exit and entry tensions applied along the rolling direction, respectively, and tensile stress is defined as positive. Within the simulated parameter space, increasing rolling temperature and speed generally reduces the predicted edge-to-center difference and dispersion of σ_RD, whereas Δ<i>T</i> shows an approximately linear correlation with thickness reduction. For the present model configuration, the minimum predicted widthwise dispersion of σ_RD occurs at 673&#xa0;K, 1.0&#xa0;m/s, and Δ<i>T</i> = 4.5 kN, with a standard deviation of approximately 0.8&#xa0;MPa, while the minimum predicted thickness variation among the simulated cases occurs at 523&#xa0;K and 0.2&#xa0;m/s, with an interquartile range of approximately 0.06%.</p>

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Impact of Front/Back Tension Differential on Widthwise Rolling Direction Residual Stress Distribution and Thickness-Profile Variation of AZ31B Magnesium Alloy Strip in Six-High Reversing Rolling

  • 期刊论文

  • 发表日期：

    2026年4月27日

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  • Chenchen Zhi,
  • WenZhang Long,
  • Lifeng Ma,
  • Yafeng Ji,
  • Yang Zhang,
  • Weitao Jia,
  • Zhiquan Huang,
  • Pengtao Liu

摘要

This study develops a strain-compensated Arrhenius constitutive model for AZ31B magnesium alloy by expressing the Arrhenius parameters as fourth-order polynomials of strain, achieving a correlation coefficient of R = 0.9431 and a mean absolute error of 10.78 MPa. The model is validated against independent hot deformation data and then implemented as the flow stress input in a thermomechanically coupled finite element model of six-high reversing rolling. Under the present modeling assumptions, a parametric finite element investigation is conducted to quantify the effects of rolling temperature, rolling speed, and the front–back tension differential ΔT = Tf − Tb on the widthwise distribution of the rolling direction residual stress component σ_RD, where Tf and Tb denote the exit and entry tensions applied along the rolling direction, respectively, and tensile stress is defined as positive. Within the simulated parameter space, increasing rolling temperature and speed generally reduces the predicted edge-to-center difference and dispersion of σ_RD, whereas ΔT shows an approximately linear correlation with thickness reduction. For the present model configuration, the minimum predicted widthwise dispersion of σ_RD occurs at 673 K, 1.0 m/s, and ΔT = 4.5 kN, with a standard deviation of approximately 0.8 MPa, while the minimum predicted thickness variation among the simulated cases occurs at 523 K and 0.2 m/s, with an interquartile range of approximately 0.06%.