轧制问题的有限单元法解

The Solution of The Finite Element Method on Rolling Problems

  • 摘要: 本文在平面应变条件下,假设轧件为应变硬化的刚塑性体,轧辊为不变形的刚体,轧辊与轧件之间的接触摩擦条件为粘着,即轧辊与轧件之间无相对滑动。用刚塑性有限单元法计算了平板轧制过程的单位压力,金属流动速度和应变、应力分布等,并对接触弧长、刚塑性交界面、前滑系数和中性角等的确定提出新的看法。
    有限单元法计算程序是以刚塑性广义变分原理为基础,采用八节点曲边四边形等参单元。根据在四辊轧机上轧制铝板的实测数据,对计算结果进行验证。

     

    Abstract: On the condition of plane strain it is assumed that the workpiece is a rigid-plastic material with strain hardening, the roller is a rigid-body,the frictional condition of the contact surface between the roller and the workpiece is no slip i.e. no relative slide between them.We have used the rigid-plastic finite element method to calculate the pressure per unite area,the velocity of metal flow and the stress-strain distribution,etc; and suggested New view on determining the Length of deformed arc, the rigid-plastic boundaries, the coefficient of front slide and the neutral angle.
    The computer programme of the finite element method is based on the general rigid-plastic variational principles. The 8-nodal curved quadrilateral isoparametric element is introduced. The results of the calculation have been compared with the experimental data of aluminium plate rolled on the 4-high mill.

     

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