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将无网格伽辽金法(Element-Free Galerkin Method,EFGM)与三维刚塑性流动理论相结合,对斜轧延伸过程进行了数值模拟。详细推导了斜轧延伸过程EFGM数值模型的刚度方程,给出了初始速度场和速度边界条件的建立方法和刚性区域的处理技术。得到的轧件的物理形态和金属流动的速度场均与实际情况相符,证明了采用EFGM计算斜轧延伸过程的可行性与正确性,将无网格算法引入到了斜轧领域。并将轧制力和壁厚的计算结果与实验结果进行了比较,结果发现:实验得到的轧制力结果偏小而壁厚值却偏大,其主要原因是由于在建模时做了简化和假定,同时也受轧机弹跳的影响。
The Element-Free Galerkin Method (EFGM) is combined with the three-dimensional rigid-plastic flow theory to simulate the rolling process. The stiffness equations of EFGM numerical model for the process of oblique rolling are deduced in detail. The establishment methods of the initial velocity field and velocity boundary conditions and the processing technology of the rigid region are given. The physical shape of the obtained rolling stock and the velocity field of the metal flow are consistent with the actual situation, which proves the feasibility and correctness of using EFGM to calculate the rolling extension process and introduces the meshless algorithm into the field of slant rolling. The calculation results of the rolling force and the wall thickness are compared with the experimental results. The results show that the experimental results of the rolling force are small and the wall thickness is too large. The main reason is that the simplified model And assumed, but also affected by mill bouncing.