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<p>As one of the main methods to solve deformation mechanics, the principal stress method (PSM) is widely used in stress analysis and technology optimization of metal forming processes. The stress assumption, yield criterion and boundary conditions have been investigated according to the frequently asked questions in teaching and the application of the PSM, and then the determination rule was proposed and described. The yield criterion, boundary conditions and calculated results should keep the corresponding relationship with the initial stress assumption of the micro-element. The stress distribution and load in the plane deformation of the rectangular workpiece was successfully solved using the PSM based on the rule proposed and FEM. The average relative error is 8.3% between the predicted loads by FEM and PSM, and the stress and load predicted by PSM are in good agreement with the FEM. Furthermore, the deformaion stress and load in cylinder compressing were also obtained by PSM, and the calculated load was compared with the same experimental data. The average relative error between the value predicted by PSM and measured value is 8.1%, indicating that the rule proposed is reliable and practical significance for the teaching and application of the PSM theory.</p>

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Discussion on stress assumption and yield criterion determination rule in teaching of the PSM

  • 期刊论文

  • 发表日期：

    2025年1月8日

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  • Ruibin Mei,
  • Li Bao,
  • Tanqiu Chen,
  • Lihao Chen,
  • Xianghua Liu

摘要

As one of the main methods to solve deformation mechanics, the principal stress method (PSM) is widely used in stress analysis and technology optimization of metal forming processes. The stress assumption, yield criterion and boundary conditions have been investigated according to the frequently asked questions in teaching and the application of the PSM, and then the determination rule was proposed and described. The yield criterion, boundary conditions and calculated results should keep the corresponding relationship with the initial stress assumption of the micro-element. The stress distribution and load in the plane deformation of the rectangular workpiece was successfully solved using the PSM based on the rule proposed and FEM. The average relative error is 8.3% between the predicted loads by FEM and PSM, and the stress and load predicted by PSM are in good agreement with the FEM. Furthermore, the deformaion stress and load in cylinder compressing were also obtained by PSM, and the calculated load was compared with the same experimental data. The average relative error between the value predicted by PSM and measured value is 8.1%, indicating that the rule proposed is reliable and practical significance for the teaching and application of the PSM theory.