【摘要】 将一种新的数值模拟方法--再生核质点无网格法用于三维稳定状态板坯立轧过程的数值模拟,在入口处插入一层超薄单元处理速度不连续奇异点;由于无网格方法的形函数不是插值函数,利用罚函数法满足本质边界条件。由于立轧时接触区附近局部塑性变形严重,所以对内部的高斯积分点采用双线性一致性条件,而接触表面的高斯点采用线性一致性条件;对摩擦条件进行特殊的处理以避免由于摩擦切应力在中性点发生突变而引起的数值问题。计算了板坯立轧后的狗骨形,计算结果与文献中的试验数据吻合,并对主要场变量进行了分析。更多还原

【Abstract】 The 3D steady state slab edge rolling process is numerical simulated by the reproducing kernel particle method (RKPM). The velocity discontinuity point is treated with an extremely thin layer of element. The penalty method is used to impose the essential boundary condition due to the shape iunction of meshless method is not interpolation. Bilinear consistency condition is utilized for the interior Gauss points while linear consistency condition is used for the contact surface Gauss point due to the heavy local plastic deformation in the vicinity of the contact region. In order to avoid numerical problems caused by the abrupt changes of friction shear stress at the neutral point, the frictional effects is specially treated. The calculated results of the dog bone shape are in good agreements with the experimental ones in the literature. And the main field variables are also analyzed.更多还原