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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: RKPM
Consistency requirements Extremely thin element 3D slab edging
CLC No: TG113
国家973重点基础研究发展规划资助项目(G2000067208-4).
Received 20040927, received in revised form 20041210 |