刘宏民, 王英睿, 金丹. 条层法及其对板带轧制三维变形的仿真[J]. 工程力学, 2003, 20(6): 39-45.
引用本文: 刘宏民, 王英睿, 金丹. 条层法及其对板带轧制三维变形的仿真[J]. 工程力学, 2003, 20(6): 39-45.
LIU Hong-min, WANG Ying-rui, JIN Dan. STRIP LAYER METHOD AND ITS APPLICATION IN SIMULATION OF THREE-DIMENSIONAL DEFORMATIONS OF PLATE AND STRIP ROLLING[J]. Engineering Mechanics, 2003, 20(6): 39-45.
Citation: LIU Hong-min, WANG Ying-rui, JIN Dan. STRIP LAYER METHOD AND ITS APPLICATION IN SIMULATION OF THREE-DIMENSIONAL DEFORMATIONS OF PLATE AND STRIP ROLLING[J]. Engineering Mechanics, 2003, 20(6): 39-45.

条层法及其对板带轧制三维变形的仿真

STRIP LAYER METHOD AND ITS APPLICATION IN SIMULATION OF THREE-DIMENSIONAL DEFORMATIONS OF PLATE AND STRIP ROLLING

  • 摘要: 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。

     

    Abstract: A new method, called the strip layer method (SLM) for simulating the three-dimensional deformations of plate and strip rolling process, is presented. The rolling deformation zone is divided evenly into a number of layers along the altitudinal direction of plate or strip and every layer plate (strip) is divided into a number of streamline strip elements along metal flow traces. The streamline strip elements are mapped onto the corresponding rectangle strip elements for convenience of analysis. The longitudinal distribution model of the metal lateral displacement is constructed to be a quartic curve, its lateral distribution is expressed as a cubic spline function, and its altitudinal distribution is fitted to be a parabolic curve. From the plastic flow theory, the three-dimensional deformations and stresses of the deformation zone are formulated. Compared with the streamline strip element method (SSEM) proposed by the first author, the strip layer method considers the uneven distributions of stresses and deformations along altitudinal direction and realizes rigorous analysis. Examples of continuous rolling of hot steel strip and thick plate rolling are provided. It is shown that the method and the present model are effective. It is a new reliable method for the three-dimensional simulation of plate and strip rolling process.

     

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