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<p>The viscous properties described by Norton–Hoff model in the semi-solid state are necessary for thermal stress analysis to predict the solidification cracking. However, experimentally determining these properties for various alloys is both costly and time-consuming. To address this, we propose a new method to predict viscous properties using uniaxial tensile stress analysis of an artificial microstructure model based on the solid cohesion <i>f</i><sub>sc</sub>, which is a key factor influencing the mechanical properties of the semi-solid state. The artificial microstructure is modeled using Campbell’s method, which defines the <i>f</i><sub>sc</sub> as a function of the solid fraction<i> f</i><sub>s</sub> and the dihedral angle <i>θ</i>. When the <i>θ</i> at the solid/liquid interface is known, an analytical model of partially solidified alloys with equiaxed primary α phases can be constructed. This study focused on Al-5mass pct Mg and Al-2mass pct Cu alloys with grain refinement. The validity of the proposed method was investigated by comparing the predicted viscous properties with those derived from analytical models based on water-quenched solidification microstructures, as well as with experimental results from previous study. The result showed that the viscous properties predicted by our method are consistent with both the analytical model and experimental results. This indicates that the proposed simple method can reliably predict the viscous properties of various alloys with equiaxed primary α phases in the semi-solid state, without the need for extensive experimental procedures.</p>

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Development of a Solid Cohesion-Based Analytical Model for Predicting Norton–Hoff Viscous Parameters in Semi-Solid Aluminum Alloys and Its Experimental Validation

  • 期刊论文

  • 发表日期：

    2025年9月19日

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  • Yoshihiro Nagata,
  • Yasuhiko Okimura,
  • Ryosuke Miyachi,
  • Naofumi Takatori,
  • Toshimitsu Okane,
  • Muhammad Khairi Faiz,
  • Makoto Yoshida

摘要

The viscous properties described by Norton–Hoff model in the semi-solid state are necessary for thermal stress analysis to predict the solidification cracking. However, experimentally determining these properties for various alloys is both costly and time-consuming. To address this, we propose a new method to predict viscous properties using uniaxial tensile stress analysis of an artificial microstructure model based on the solid cohesion fsc, which is a key factor influencing the mechanical properties of the semi-solid state. The artificial microstructure is modeled using Campbell’s method, which defines the fsc as a function of the solid fraction fs and the dihedral angle θ. When the θ at the solid/liquid interface is known, an analytical model of partially solidified alloys with equiaxed primary α phases can be constructed. This study focused on Al-5mass pct Mg and Al-2mass pct Cu alloys with grain refinement. The validity of the proposed method was investigated by comparing the predicted viscous properties with those derived from analytical models based on water-quenched solidification microstructures, as well as with experimental results from previous study. The result showed that the viscous properties predicted by our method are consistent with both the analytical model and experimental results. This indicates that the proposed simple method can reliably predict the viscous properties of various alloys with equiaxed primary α phases in the semi-solid state, without the need for extensive experimental procedures.