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提出一种模拟板带轧制过程三维变形的新的数值方法———条层法。首先沿高向将变形区均匀地划分为若干层 ,然后再沿着金属的流动轨迹将变形区内的每层带材划分为若干流线条元 ,为了方便分析和计算 ,又将流线条元映射为矩形条元。横向位移的纵向分布被构造为四次曲线 ,横向分布用三次样条插值函数表示 ,高向分布用二次曲线拟合。根据塑性力学流动理论 ,分析推导了变形区三维变形和应力的数学模型。与本文作者曾经提出的流线条元法相比 ,考虑了应力与变形沿高向的不均匀分布 ,实现了精确的三维分析和计算。关于热带钢连轧和厚板轧制的仿真实例表明 ,提出的方法和模型符合实际 ,为板带轧制过程的三维力学仿真提供了一个新的实用工程数值方法。
A new numerical method to simulate the three-dimensional deformation of strip rolling process is proposed. First, the deformation zone is divided into several layers along the high direction, and then each strip in the deformation zone is divided into several flow line elements along the metal flow path. In order to facilitate the analysis and calculation, the flow line element mapping Rectangular bar element. The vertical distribution of lateral displacement is constructed as a quadratic curve, the horizontal distribution is represented by a cubic spline interpolation function, and the high-level distribution is fitted by a quadratic curve. According to the theory of plasticity flow, the mathematical model of three-dimensional deformation and stress in deformation zone is deduced. Compared with the streamline element method proposed by the author of this paper, the non-uniform distribution of stress and deformation in the high direction is considered, and accurate three-dimensional analysis and calculation are realized. The simulation examples of hot strip rolling and slab rolling show that the proposed method and model are in accordance with the actual conditions and provide a new practical engineering numerical method for the three - dimensional mechanical simulation of strip rolling process.