模拟热轧板带三维变形的条层法及仿真实例  

Strip Layer Method for Simulation of the Three-dimensional Deformations of Hot Plate and Strip Rolling

作　　者：刘宏民[1] 王英睿[1] 金丹[1] 

机构地区：[1]燕山大学机械工程学院,秦皇岛066004

出　　处：《冶金设备》2003年第1期1-8,共8页Metallurgical Equipment

基　　金：国家自然科学基金资助项目 (5 0 175 0 95 ) ;教育部骨干教师基金 (674)

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 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, every layer plate (strip) is divided into a number of streamline strip elements along metal flow traces, and the streamline strip elements are mapped into the corresponding rectangle strip elements for analysis and computation. The longitudinal distribution model of the metal lateral displacement is constructed to be a quartic curve, its lateral distribution is expressed as the third-power spline function, and its altitudinal distribution is fitted to be a parabolic curve. From the flow theory of plastic mechanics, the three-dimensional deformations and stresses of the deformation zone are analysed and formulated. Compared with the streamline strip element method (SSEM) that the first author of this paper has put forward, the strip layer method considers the uneven distributions of stresses and deformations along altitudinal direction, and realizes the precise analysis and computation. The simulation examples of hot steel strip continuous rolling and thick plate rolling indicate that the method and the model accord with facts, and provide a new reliable engineering-computation method for the three-dimensional mechanics simulation of plate and strip rolling process.

关 键 词：板带轧制 三维分析 条层法 单位轧制压力 张应力 板形 

分 类 号：TG335.55[金属学及工艺—金属压力加工]