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 function 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.

Key words: 3D slab edging, Consistency requirements, Extremely thin element, RKPM